\u95ee\u9898\u63cf\u8ff0<\/span><\/h5>\n\u5c0f\u84dd\u5728\u9ed1\u677f\u4e0a\u8fde\u7eed\u5199\u4e0b\u4ece\u00a01\u00a0\u5230\u00a02023\u4e4b\u95f4\u6240\u6709\u7684\u6574\u6570，\u5f97\u5230\u4e86\u4e00\u4e2a\u6570\u5b57\u5e8f\u5217：\u00a0S=12345678910111213…20222023\u3002 \u5c0f\u84dd\u60f3\u77e5\u9053\u00a0S\u00a0\u4e2d\u6709\u591a\u5c11\u79cd\u5b50\u5e8f\u5217\u6070\u597d\u7b49\u4e8e 2023？<\/p>\n
\u4ee5\u4e0b\u662f\u00a03 \u79cd\u6ee1\u8db3\u6761\u4ef6\u7684\u5b50\u5e8f\u5217（\u7528\u4e2d\u62ec\u53f7\u6807\u8bc6\u51fa\u7684\u6570\u5b57\u662f\u5b50\u5e8f\u5217\u5305\u542b\u7684\u6570\u5b57）：<\/p>\n
1[2]34567891[0]111[2]1[3]14151617181920212223… 1[2]34567891[0]111[2]131415161718192021222[3]… 1[2]34567891[0]111213141516171819[2]021222[3]…<\/p>\n
\u6ce8\u610f\u4ee5\u4e0b\u662f\u4e0d\u6ee1\u8db3\u6761\u4ef6\u7684\u5b50\u5e8f\u5217，\u867d\u7136\u5305\u542b\u4e86\u00a02\u30010\u30012\u30013\u00a0\u56db\u4e2a\u6570\u5b57，\u4f46\u662f\u987a\u5e8f\u4e0d\u5bf9：<\/p>\n
1[2]345678910111[2]131415161718192[0]21222[3]…<\/p>\n
\u7b54\u6848\u63d0\u4ea4<\/p>\n
\u8fd9\u662f\u4e00\u9053\u7ed3\u679c\u586b\u7a7a\u7684\u9898，\u4f60\u53ea\u9700\u8981\u7b97\u51fa\u7ed3\u679c\u540e\u63d0\u4ea4\u5373\u53ef\u3002\u672c\u9898\u7684\u7ed3\u679c\u4e3a\u4e00\u4e2a\u6574\u6570，\u5728\u63d0\u4ea4\u7b54\u6848\u65f6\u53ea\u586b\u5199\u8fd9\u4e2a\u6574\u6570，\u586b\u5199\u591a\u4f59\u7684\u5185\u5bb9\u5c06\u65e0\u6cd5\u5f97\u5206\u3002<\/p>\n
\u52a8\u6001\u89c4\u5212\u89e3\u6cd5：<\/span><\/h5>\n\u672c\u9898\u89e3\u6cd5，\u8bf4\u6210\u662f\u72b6\u6001\u89c4\u5212，\u53ef\u80fd\u4f1a\u5f15\u8d77\u6050\u60e7，\u5176\u5b9e\u5b83\u5c31\u662f\u4e00\u9053\u7b80\u5355\u7684\u72b6\u6001\u63a8\u5bfc\u9898( \u2022\u0300 \u03c9 \u2022\u0301 )\u2727<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\nusing namespace std;
\n\/\/ \u662f\u4e2a\u7b80\u5355\u7684\u52a8\u6001\u89c4\u5212\u5c31\u7b97\u4e86
\n\/\/ \u600e\u4e48\u53c8\u662f\u4e00\u9053\u8d8a\u754c\u9898\u76ee
\n\/\/ \u4ee5\u540e\u7edf\u4e00\u4e0d\u7528long long\u6539\u7528 unsigned long long\u3002\u66f4\u5927\u3002
\nint main(){
\n vector<unsigned long long> dp(4,0);
\n string str="";
\n for(int i=1; i<=2023; ++i) str+=to_string(i);
\n \/\/ \u672c\u9898\u7684\u89e3\u6cd5\u662f\u52a8\u6001\u89c4\u5212
\n for(char c : str){
\n if(c=='2'){
\n dp[0]++;
\n dp[2]+=dp[1];
\n }
\n if(c=='0') dp[1]+=dp[0];
\n if(c=='3') dp[3]+=dp[2];
\n }
\n cout<<dp[3]<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
public class DpProblem {
\n public static void main(String[] args) {
\n \/\/ \u521b\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a 4 \u7684 long \u7c7b\u578b\u6570\u7ec4 dp \u5e76\u521d\u59cb\u5316\u4e3a 0
\n long[] dp = new long[4];<\/p>\n
\/\/ \u62fc\u63a5\u5b57\u7b26\u4e32
\n StringBuilder str = new StringBuilder();
\n for (int i = 1; i <= 2023; i++) {
\n str.append(i);
\n }<\/p>\n
\/\/ \u52a8\u6001\u89c4\u5212\u8fc7\u7a0b
\n for (int i = 0; i < str.length(); i++) {
\n char c = str.charAt(i);
\n if (c == '2') {
\n dp[0]++;
\n dp[2] += dp[1];
\n }
\n if (c == '0') {
\n dp[1] += dp[0];
\n }
\n if (c == '3') {
\n dp[3] += dp[2];
\n }
\n }<\/p>\n
\/\/ \u8f93\u51fa\u7ed3\u679c
\n System.out.println(dp[3]);
\n }
\n} <\/p>\n
\u4e8c\u3001\u53cc\u5b50\u6570<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u82e5\u4e00\u4e2a\u6b63\u6574\u6570\u00a0x\u00a0\u53ef\u4ee5\u88ab\u8868\u793a\u4e3a\u00a0p2\u00d7q2，\u5176\u4e2d\u00a0p\u3001q\u00a0\u4e3a\u8d28\u6570\u4e14\u00a0p\u2260q，\u5219\u00a0x\u00a0\u662f\u4e00\u4e2a\u53cc\u5b50\u6570\u3002\u8bf7\u8ba1\u7b97\u533a\u95f4\u00a0[2333,\u202d23333333333333\u202c] \u5185\u6709\u591a\u5c11\u4e2a\u53cc\u5b50\u6570？<\/p>\n
\u7b54\u6848\u63d0\u4ea4<\/p>\n
\u8fd9\u662f\u4e00\u9053\u7ed3\u679c\u586b\u7a7a\u7684\u9898，\u4f60\u53ea\u9700\u8981\u7b97\u51fa\u7ed3\u679c\u540e\u63d0\u4ea4\u5373\u53ef\u3002\u672c\u9898\u7684\u7ed3\u679c\u4e3a\u4e00\u4e2a\u6574\u6570，\u5728\u63d0\u4ea4\u7b54\u6848\u65f6\u53ea\u586b\u5199\u8fd9\u4e2a\u6574\u6570，\u586b\u5199\u591a\u4f59\u7684\u5185\u5bb9\u5c06\u65e0\u6cd5\u5f97\u5206\u3002<\/p>\n
\/\/ \u6211\u672c\u4ee5\u4e3a，\u672c\u9898\u6700\u96be\u7684\u662f\u6b27\u62c9\u7b5b，\u4e5f\u5c31\u662f\u7ebf\u6027\u7b5b \/\/ \u540e\u6765\u6211\u53d1\u73b0，\u6211\u9519\u4e86，\u800c\u4e14\u9519\u7684\u79bb\u8c31 \/\/ \u6b27\u62c9\u7b5b，\u80fd\u7528\u57c3\u6c0f\u7b5b\u4ee3\u66ff，\u80fd\u7528\u6734\u7d20\u4e5f\u5c31\u662f\u66b4\u529b\u6cd5\u4ee3\u66ff\u3002 \/\/ \u800c\u672c\u9898\u6700\u5927\u7684\u96be\u70b9\u662f\u7b26\u53f7\u4f4d，\u5982\u679c\u4f60\u5f00\u5230(long long)，\u7b54\u6848\u4f1a\u59cb\u7ec8\u591a10，\u8ba9\u4f60\u75db\u4e0d\u6b32\u751f\u3002 \/\/ \u672c\u9898\u8981\u5f00\u5230，unsigned long long \/\/ int->1e9 , long long->1e18, unsigned long long\u662flonglong\u7684\u4e24\u500d<\/p>\n
\/\/ \u5207\u8bb0，\u4e0d\u4f1a\u6b27\u62c9\u7b5b\u7684，\u53ef\u4ee5\u7528\u7ebf\u6027\u7b5b\u4ee3\u66ff，\u6216\u8005\u76f4\u63a5\u66b4\u529b（\u4f1a\u6162\u4e00\u4e9b）:: \u56db\u79cd\u7b5b\u6cd5 ::<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\n#define ll long long
\nusing namespace std;<\/p>\n
const int N = 1e7 + 10;
\nvector<bool> vec(N, true); \/\/ \u5047\u8bbe\u90fd\u662f\u8d28\u6570
\nvector<ll> res;
\nvoid sieve(){ \/\/ \u6b27\u62c9\u7b5b
\n vec[0]=vec[1]= false;
\n for(int i=2; i<vec.size(); ++i){
\n if(vec[i]) res.push_back((ll)i);
\n for(ll num:res){
\n if(num*i>vec.size()) break; \/\/ \u8d85\u51fa\u6700\u5927\u8303\u56f4
\n vec[i*num] = false;
\n if(i%num==0) break; \/\/ \u786e\u4fdd\u6bcf\u4e2a\u5408\u6570，\u53ea\u88ab\u6700\u5c0f\u56e0\u5b50\u9664\u53bb\u3002
\n }
\n }
\n}
\n\/\/\u5929\u5450，\u4f60\u8981\u8fd9\u6837\u73a9？\u8fd8\u548b\u73a9？？
\nint main(){
\n sieve();
\n ll num = 0;
\n for(ll i=0;i<res.size();i++){
\n unsigned ll pp = res[i]*res[i];
\n if(pp * pp >23333333333333) break;\/\/\u4e00\u70b9\u5c0f\u4f18\u5316
\n for(ll j=i+1;j<res.size();j++){
\n ll qq = res[j]*res[j];
\n if(pp*qq>23333333333333) break;
\n if(pp*qq<2333) continue;
\n num++;
\n }
\n }
\n cout<<num<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.math.BigInteger;
\nimport java.util.ArrayList;
\nimport java.util.List;<\/p>\n
public class PrimeNumberCombination {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N，\u7528\u4e8e\u7b5b\u6cd5\u8303\u56f4
\n static final int N = 10000010;
\n \/\/ \u6807\u8bb0\u6bcf\u4e2a\u6570\u662f\u5426\u4e3a\u8d28\u6570\u7684\u5e03\u5c14\u6570\u7ec4
\n static boolean[] isPrime = new boolean[N];
\n \/\/ \u5b58\u50a8\u8d28\u6570\u7684\u5217\u8868
\n static List<Integer> primes = new ArrayList<>();<\/p>\n
\/\/ \u6b27\u62c9\u7b5b\u51fd\u6570，\u7b5b\u9009\u51fa\u6240\u6709\u8d28\u6570
\n public static void sieve() {
\n \/\/ \u521d\u59cb\u5316\u6240\u6709\u6570\u4e3a\u8d28\u6570
\n for (int i = 0; i < N; i++) {
\n isPrime[i] = true;
\n }
\n \/\/ 0 \u548c 1 \u4e0d\u662f\u8d28\u6570
\n isPrime[0] = isPrime[1] = false;
\n for (int i = 2; i < N; i++) {
\n if (isPrime[i]) {
\n primes.add(i);
\n }
\n for (int prime : primes) {
\n if (prime * i >= N) {
\n break;
\n }
\n isPrime[prime * i] = false;
\n if (i % prime == 0) {
\n break;
\n }
\n }
\n }
\n }<\/p>\n
public static void main(String[] args) {
\n \/\/ \u8c03\u7528\u6b27\u62c9\u7b5b\u51fd\u6570
\n sieve();
\n BigInteger limit1 = BigInteger.valueOf(23333333333333L);
\n BigInteger limit2 = BigInteger.valueOf(2333L);
\n long num = 0;
\n for (int i = 0; i < primes.size(); i++) {
\n BigInteger pp = BigInteger.valueOf(primes.get(i)).pow(2);
\n if (pp.pow(2).compareTo(limit1) > 0) {
\n break;
\n }
\n for (int j = i + 1; j < primes.size(); j++) {
\n BigInteger qq = BigInteger.valueOf(primes.get(j)).pow(2);
\n BigInteger product = pp.multiply(qq);
\n if (product.compareTo(limit1) > 0) {
\n break;
\n }
\n if (product.compareTo(limit2) < 0) {
\n continue;
\n }
\n num++;
\n }
\n }
\n \/\/ \u8f93\u51fa\u6ee1\u8db3\u6761\u4ef6\u7684\u7ec4\u5408\u6570\u91cf
\n System.out.println(num);
\n }
\n} <\/p>\n
\u4e09\u3001\u73ed\u7ea7\u6d3b\u52a8<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u7684\u8001\u5e08\u51c6\u5907\u7ec4\u7ec7\u4e00\u6b21\u73ed\u7ea7\u6d3b\u52a8\u3002\u73ed\u4e0a\u4e00\u5171\u6709\u00a0n\u00a0\u540d (n\u00a0\u4e3a\u5076\u6570) \u540c\u5b66，\u8001\u5e08\u60f3\u628a\u6240\u6709\u7684\u540c\u5b66\u8fdb\u884c\u5206\u7ec4，\u6bcf\u4e24\u540d\u540c\u5b66\u4e00\u7ec4\u3002\u4e3a\u4e86\u516c\u5e73，\u8001\u5e08\u7ed9\u6bcf\u540d\u540c\u5b66\u968f\u673a\u5206\u914d\u4e86\u4e00\u4e2a\u00a0n\u00a0\u4ee5\u5185\u7684\u6b63\u6574\u6570\u4f5c\u4e3a\u00a0id，\u7b2c\u00a0i\u00a0\u540d\u540c\u5b66\u7684\u00a0id\u00a0\u4e3a\u00a0ai\u200b\u3002<\/p>\n
\u8001\u5e08\u5e0c\u671b\u901a\u8fc7\u66f4\u6539\u82e5\u5e72\u540d\u540c\u5b66\u7684\u00a0id\u00a0\u4f7f\u5f97\u5bf9\u4e8e\u4efb\u610f\u4e00\u540d\u540c\u5b66\u00a0i，\u6709\u4e14\u4ec5\u6709\u53e6\u4e00\u540d\u540c\u5b66\u00a0jj\u00a0\u7684\u00a0idid\u00a0\u4e0e\u5176\u76f8\u540c (ai=aj\u200b)\u3002\u8bf7\u95ee\u8001\u5e08\u6700\u5c11\u9700\u8981\u66f4\u6539\u591a\u5c11\u540d\u540c\u5b66\u7684\u00a0id？<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171\u00a02\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6b63\u6574\u6570\u00a0n\u3002<\/p>\n
\u7b2c\u4e8c\u884c\u4e3a\u00a0n\u00a0\u4e2a\u7531\u7a7a\u683c\u9694\u5f00\u7684\u6574\u6570\u00a0a1,a2,…,an\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a01\u00a0\u884c，\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
4
\n1 2 2 3<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
1<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u4ec5\u9700\u8981\u628a\u00a0a1\u200b\u00a0\u6539\u4e3a\u00a03\u00a0\u6216\u8005\u628a\u00a0a3\u200b\u00a0\u6539\u4e3a\u00a01\u00a0\u5373\u53ef\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e 20%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u226410^5<\/p>\n
\/\/ \u2686_\u2686？\u5f53\u6211\u627e\u5230\u54ea\u91cc\u9519\u4e86\u4e4b\u540e，\u6cea\u6d41\u6ee1\u9762 \/\/ \u672c\u9898\u5176\u5b9e\u633a\u7b80\u5355 \/\/ \u8bfb\u9898：\u201c\u6bcf\u540d\u540c\u5b66，\u968f\u673a\u5206\u914dn\u4ee5\u5185\u7684\u6b63\u6574\u6570\u4f5c\u4e3aid\u201d\u00a0 \/\/ \u8fd9\u8bf4\u660e，\u6bcf\u4e2a\u540c\u5b66\u7684id\u6709\u4e24\u79cd\u60c5\u51b5\u3002 \/\/ \u6b64\u65f6\u4e3e\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u5c31OK\u4e86 \/\/ \u50cf\u9898\u76ee\u4e2d\u4e3e\u5f97\u4f8b\u5b50，1 2 2 3 \u4e00\u7ec4（2,2）\u5c31\u80fd\u914d\u5bf9，\u4ec5\u9700\u66f4\u65393\u53d8\u62101（1->3\u4e5f\u884c）\u5c31OK\u4e86，\u53ea\u9700\u4e00\u6b21\u3002 \/\/ \u63a8\u7b97\u6210\u516c\u5f0f，\u4e5f\u5c31\u662f 2\/1=1 -> \u6563\u5217\u7684\u603b\u6570\/2 \/\/ \u8fdb\u9636\u4e00\u70b9，\u5f53id\u4e3a 2 2 2 1\u65f6，\u6b64\u65f6\u4e00\u7ec4（2,2）\u5c31\u80fd\u914d\u5bf9，\u8fd9\u65f6\u4ec5\u9700\u66f4\u6539\u5269\u4e0b\u76842\u53d8\u62101\u5c31OK\u4e86，\u4e5f\u53ea\u9700\u8981\u66f4\u6539\u4e00\u6b21\u3002 \/\/ \u5982\u679c\u662f 2 2 2 2 2 1 \u5462，\u8981\u5148\u53bb\u6389\u4e00\u7ec4（2,2） \/\/ \u6b64\u65f6\u5269\u4e0b 2 2 2 1，\u56e0\u4e3a\u4e0d\u80fd\u4e0e\u5df2\u7ecf\u914d\u5bf9\u7684（2,2）\u91cd\u590d， \/\/ \u6240\u4ee5\u5148\u628a\u5176\u4e2d\u4e00\u4e2a2\u6539\u4e3a1，\u9700\u8981\u4e00\u6b21\u3002 \/\/ \u6b64\u65f6\u5269\u4e0b 2 2，\u53ea\u9700\u5c06\u5b83\u4eec\u6539\u6210\u5176\u4ed6\u6570\u5c31\u884c，\u5982\u6539\u6210（3,3），\u9700\u8981\u4e24\u6b21\u3002 \/\/ \u4e00\u5171\u7528\u4e863\u6b21，\u4e5f\u5c31\u662f2\u7684\u603b\u6570 \u51cf\u53bb2 \u4e5f\u5c31\u662f\u51cf\u53bb（2,2）\u8fd9\u4e2a\u4e0d\u9700\u8981\u6539\u53d8\u7684\u7ec4\u5408\u3002 \/\/ \u4e5f\u5c31\u662f \u5f53\u5df2\u88ab\u5360\u7528\u7684id\u7684\u6570\u91cf，\u5927\u4e8e\u672a\u88ab\u5360\u7528id\u65f6，\u603b\u6570\u7b49\u4e8e \u91cd\u590d id\u7684\u6570\u91cf\u3002<\/p>\n
C++<\/h5>\n
#include <iostream>
\nconst int N = 1e5+5;
\nusing namespace std;
\nint arr[N]; <\/p>\n
int main()
\n{
\n int n;
\n cin>>n;
\n for(int i=0; i<n; ++i){
\n int num;
\n cin>>num;
\n arr[num]++;
\n }<\/p>\n
int num1=0, num2=0;<\/p>\n
for(int i : arr){
\n if(i>2) num1 += i-2; \/\/ \u6c42\u53d6\u6570\u91cf\u76f8\u540c\u7684\u6570\u5728\u51cf2；
\n else if(i==1) num2++;
\n }<\/p>\n
int sum = 0;
\n \/\/ \u5f53\u5df2\u88ab\u5360\u7528\u7684id\u7684\u6570\u91cf，\u5927\u4e8e\u672a\u88ab\u5360\u7528id\u65f6，\u90a3\u4e48sum = num1;
\n if(num1>num2){
\n sum = num1;
\n }else{ \/\/ num2<num1\u7684\u60c5\u51b5
\n sum = num2 + (num1-num2)\/2;
\n }
\n cout<<sum<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.Scanner;<\/p>\n
public class StudentIdAdjustment {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N，\u7528\u4e8e\u6570\u7ec4\u5927\u5c0f
\n static final int N = 100005;<\/p>\n
public static void main(String[] args) {
\n \/\/ \u521b\u5efa Scanner \u5bf9\u8c61\u7528\u4e8e\u8bfb\u53d6\u8f93\u5165
\n Scanner scanner = new Scanner(System.in);
\n \/\/ \u5b9a\u4e49\u4e00\u4e2a\u6570\u7ec4\u6765\u8bb0\u5f55\u6bcf\u4e2a ID \u51fa\u73b0\u7684\u6b21\u6570
\n int[] arr = new int[N];
\n \/\/ \u8bfb\u53d6\u5b66\u751f\u7684\u6570\u91cf
\n int n = scanner.nextInt();<\/p>\n
\/\/ \u5faa\u73af\u8bfb\u53d6\u6bcf\u4e2a\u5b66\u751f\u7684 ID，\u5e76\u7edf\u8ba1\u6bcf\u4e2a ID \u51fa\u73b0\u7684\u6b21\u6570
\n for (int i = 0; i < n; i++) {
\n int num = scanner.nextInt();
\n arr[num]++;
\n }<\/p>\n
\/\/ \u521d\u59cb\u5316\u4e24\u4e2a\u53d8\u91cf，\u7528\u4e8e\u7edf\u8ba1\u9700\u8981\u5904\u7406\u7684\u4e0d\u540c\u60c5\u51b5\u7684\u6570\u91cf
\n int num1 = 0;
\n int num2 = 0;<\/p>\n
\/\/ \u904d\u5386\u6570\u7ec4，\u7edf\u8ba1 num1 \u548c num2 \u7684\u503c
\n for (int i : arr) {
\n \/\/ \u5982\u679c\u67d0\u4e2a ID \u51fa\u73b0\u7684\u6b21\u6570\u5927\u4e8e 2，\u8ba1\u7b97\u8d85\u51fa 2 \u7684\u90e8\u5206\u5e76\u7d2f\u52a0\u5230 num1
\n if (i > 2) {
\n num1 += i – 2;
\n }
\n \/\/ \u5982\u679c\u67d0\u4e2a ID \u53ea\u51fa\u73b0\u4e86 1 \u6b21，\u5c06 num2 \u52a0 1
\n else if (i == 1) {
\n num2++;
\n }
\n }<\/p>\n
\/\/ \u521d\u59cb\u5316\u6700\u7ec8\u7ed3\u679c\u53d8\u91cf
\n int sum = 0;
\n \/\/ \u5f53 num1 \u5927\u4e8e num2 \u65f6，\u8bf4\u660e\u5df2\u88ab\u5360\u7528\u7684 ID \u6570\u91cf\u66f4\u591a，sum \u7b49\u4e8e num1
\n if (num1 > num2) {
\n sum = num1;
\n }
\n \/\/ \u5f53 num2 \u5927\u4e8e\u7b49\u4e8e num1 \u65f6，\u6309\u7167\u76f8\u5e94\u89c4\u5219\u8ba1\u7b97 sum
\n else {
\n sum = num2 + (num1 – num2) \/ 2;
\n }<\/p>\n
\/\/ \u8f93\u51fa\u6700\u7ec8\u7ed3\u679c
\n System.out.println(sum);
\n \/\/ \u5173\u95ed Scanner \u5bf9\u8c61，\u91ca\u653e\u8d44\u6e90
\n scanner.close();
\n }
\n} <\/p>\n
\u56db\u3001\u5408\u5e76\u6570\u5217<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u53d1\u73b0\u6709\u5f88\u591a\u65b9\u6848\u53ef\u4ee5\u628a\u4e00\u4e2a\u5f88\u5927\u7684\u6b63\u6574\u6570\u62c6\u6210\u82e5\u5e72\u6b63\u6574\u6570\u7684\u548c\u3002\u4ed6\u91c7\u53d6\u4e86\u5176\u4e2d\u4e24\u79cd\u65b9\u6848，\u5206\u522b\u5c06\u4ed6\u4eec\u5217\u4e3a\u4e24\u4e2a\u6570\u7ec4\u00a0{a1,a2,…,an}\u548c\u00a0{b1,b2,…,bm}\u3002\u4e24\u4e2a\u6570\u7ec4\u7684\u548c\u76f8\u540c\u3002<\/p>\n
\u5b9a\u4e49\u4e00\u6b21\u5408\u5e76\u64cd\u4f5c\u53ef\u4ee5\u5c06\u67d0\u6570\u7ec4\u5185\u76f8\u90bb\u7684\u4e24\u4e2a\u6570\u5408\u5e76\u4e3a\u4e00\u4e2a\u65b0\u6570，\u65b0\u6570\u7684\u503c\u662f\u539f\u6765\u4e24\u4e2a\u6570\u7684\u548c\u3002\u5c0f\u660e\u60f3\u901a\u8fc7\u82e5\u5e72\u6b21\u5408\u5e76\u64cd\u4f5c\u5c06\u4e24\u4e2a\u6570\u7ec4\u53d8\u6210\u4e00\u6a21\u4e00\u6837，\u5373\u00a0n=m \u4e14\u5bf9\u4e8e\u4efb\u610f\u4e0b\u6807\u00a0i\u00a0\u6ee1\u8db3\u00a0ai=bi\u3002\u8bf7\u8ba1\u7b97\u81f3\u5c11\u9700\u8981\u591a\u5c11\u6b21\u5408\u5e76\u64cd\u4f5c\u53ef\u4ee5\u5b8c\u6210\u5c0f\u660e\u7684\u76ee\u6807\u3002<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171\u00a03\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570\u00a0n,\u00a0m\u3002<\/p>\n
\u7b2c\u4e8c\u884c\u4e3a\u00a0n\u00a0\u4e2a\u7531\u7a7a\u683c\u9694\u5f00\u7684\u6574\u6570\u00a0a1,a2,…,an\u200b\u3002<\/p>\n
\u7b2c\u4e09\u884c\u4e3a\u00a0m\u00a0\u4e2a\u7531\u7a7a\u683c\u9694\u5f00\u7684\u6574\u6570\u00a0b1,b2,…,bm\u200b\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a01\u00a0\u884c，\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
4 3
\n1 2 3 4
\n1 5 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
1<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u53ea\u9700\u8981\u5c06\u00a0a2\u200b\u00a0\u548c\u00a0a3\u00a0\u5408\u5e76，\u6570\u7ec4\u00a0a\u00a0\u53d8\u4e3a\u00a0{1,5,4}，\u5373\u548c\u00a0b\u00a0\u76f8\u540c\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,\u00a0m\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,\u00a0m\u226410^5，0<ai,\u00a0bi\u226410^5\u3002<\/p>\n
\/\/ \u672c\u9898\u539f\u610f：\u201c\u4e24\u4e2a\u6570\u5217，\u901a\u8fc7\u4e0d\u65ad\u5408\u5e76\u76f8\u90bb\u7684\u4e24\u4e2a\u6570，\u4f7f\u4e24\u4e2a\u6570\u5217\u76f8\u540c\u201d \/\/ \u6ce8\u610f-\u201c\u76f8\u90bb\u201d \u201c\u5408\u5e76（\u76f8\u52a0）\u201d，\u4e5f\u5c31\u610f\u5473\u7740\u53ef\u80fd\u8981\u4f7f\u7528\u524d\u7f00\u548c\u3002 \/\/ \u7528\u53cd\u5411\u601d\u7ef4\u6765\u770b，\u4e24\u4e2a\u6570\u5217\u6700\u7ec8\u662f\u76f8\u540c\u7684\u3002 \/\/ \u4e5f\u5c31\u610f\u5473\u7740\u4ece\u4fe9\u6570\u5217，\u7b2c\u4e00\u4e2a\u6570\u5f00\u59cb，\u5c31\u8981\u662f\u76f8\u540c\u7684\u3002 \/\/ \u6211\u4eec\u53ea\u9700\u8981\u4ece\u5934\u5f00\u59cb\u8ba1\u7b97\u524d\u7f00\u548c，\u5982\u679c\u76f8\u540c\u65f6，\u4ee3\u8868\u4fe9\u6570\u5217\u7b2ci\u4f4d\u5df2\u7ecf\u76f8\u540c， \/\/ \u6b64\u65f6\u66f4\u65b0\u4fe9\u524d\u7f00\u548c\u7684\u8ba1\u7b97\u8d77\u59cb\u4f4d\u7f6e\u5373\u53ef\u3002 \/\/ \u6240\u4ee5\u672c\u9898\u662f，\u53cc\u6307\u9488\u4e0e\u524d\u7f00\u548c\u7684\u7ed3\u5408\u3002<\/p>\n
1 2 3 4
\n1 5 4
\n————
\n\u5bf9\u6bd4\u4e24\u4e2a\u6570\u5217\u7684\u7b2c\u4e00\u4f4d，\u76f8\u540c，\u4e0d\u7528\u53d8
\n————
\n3 3 4
\n6 4
\n\u7b2c\u4e00\u4f4d\u4e0d\u540c，\u5408\u5e76\u5c0f\u7684\u524d\u4e24\u4f4d
\n———-
\n6 4
\n6 4
\n…. <\/p>\n
\/\/ \u672c\u9898\u53c8\u8ba9\u6211\u75db\u54ed\u4e0d\u5df2，\u7c7b\u578b\u5f00\u5c0f\u4e86，\u672c\u9898\u6700\u5927\u67091e10\u5de6\u53f3，int\u4e0d\u592a\u884c<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\nusing namespace std;<\/p>\n
int main()
\n{
\n int n,m;
\n cin>>n>>m;
\n vector<int> a(n,0);
\n vector<int> b(m,0);
\n for(int i=0; i<n; ++i) cin>>a[i];
\n for(int i=0; i<m; ++i) cin>>b[i];
\n \/\/ sum_a a\u6570\u5217\u7684\u524d\u7f00\u548c
\n \/\/ sum_b b\u6570\u5217\u7684\u524d\u7f00\u548c
\n \/\/ cnt_a a\u7684\u4f4d\u6570
\n \/\/ cnt_b b\u7684\u4f4d\u6570
\n \/\/ cnt_sum \u603b\u5171\u9700\u8981\u7684\u6b21\u6570
\n long long sum_a=0,sum_b=0,cnt_a=0,cnt_b=0,cnt_sum=0;
\n while(true){
\n if(sum_a==sum_b){
\n sum_a+=a[cnt_a++];
\n sum_b+=b[cnt_b++];
\n }else if(sum_a<sum_b){ \/\/ \u7b2c\u4e00\u4e2a\u503c\u5c0f，\u9700\u8981\u5408\u5e76
\n sum_a+=a[cnt_a++];
\n cnt_sum++;
\n }else if(sum_b<sum_a){ \/\/ \u7b2c\u4e8c\u4e2a\u503c\u5c0f，\u9700\u8981\u5408\u5e76
\n sum_b+=b[cnt_b++];
\n cnt_sum++;
\n }
\n if(cnt_a==n&&cnt_b==m) break;
\n }
\n cout<<cnt_sum;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.Scanner;<\/p>\n
public class MergeArrays {
\n public static void main(String[] args) {
\n Scanner scanner = new Scanner(System.in);<\/p>\n
\/\/ \u8bfb\u53d6\u4e24\u4e2a\u6570\u7ec4\u7684\u957f\u5ea6
\n int n = scanner.nextInt();
\n int m = scanner.nextInt();<\/p>\n
\/\/ \u521d\u59cb\u5316\u4e24\u4e2a\u6570\u7ec4
\n int[] a = new int[n];
\n int[] b = new int[m];<\/p>\n
\/\/ \u8bfb\u53d6\u7b2c\u4e00\u4e2a\u6570\u7ec4\u7684\u5143\u7d20
\n for (int i = 0; i < n; i++) {
\n a[i] = scanner.nextInt();
\n }<\/p>\n
\/\/ \u8bfb\u53d6\u7b2c\u4e8c\u4e2a\u6570\u7ec4\u7684\u5143\u7d20
\n for (int i = 0; i < m; i++) {
\n b[i] = scanner.nextInt();
\n }<\/p>\n
\/\/ \u521d\u59cb\u5316\u524d\u7f00\u548c\u53d8\u91cf\u548c\u6307\u9488
\n long sum_a = 0, sum_b = 0; \/\/ \u4f7f\u7528long\u907f\u514d\u5927\u6570\u6ea2\u51fa
\n int cnt_a = 0, cnt_b = 0; \/\/ \u6570\u7ec4a\u548cb\u7684\u5f53\u524d\u6307\u9488\u4f4d\u7f6e
\n int cnt_sum = 0; \/\/ \u8bb0\u5f55\u5408\u5e76\u6b21\u6570<\/p>\n
\/\/ \u5faa\u73af\u5904\u7406\u76f4\u5230\u4e24\u4e2a\u6570\u7ec4\u90fd\u904d\u5386\u5b8c\u6bd5
\n while (true) {
\n \/\/ \u5f53\u4e24\u4e2a\u524d\u7f00\u548c\u76f8\u7b49\u65f6，\u79fb\u52a8\u5230\u4e0b\u4e00\u4e2a\u5143\u7d20
\n if (sum_a == sum_b) {
\n \/\/ \u6ce8\u610f\u8fb9\u754c\u6761\u4ef6：\u907f\u514d\u6570\u7ec4\u8d8a\u754c
\n if (cnt_a < n) {
\n sum_a += a[cnt_a++]; \/\/ \u79fb\u52a8a\u7684\u6307\u9488\u5e76\u7d2f\u52a0\u503c
\n }
\n if (cnt_b < m) {
\n sum_b += b[cnt_b++]; \/\/ \u79fb\u52a8b\u7684\u6307\u9488\u5e76\u7d2f\u52a0\u503c
\n }
\n } else if (sum_a < sum_b) {
\n \/\/ a\u7684\u524d\u7f00\u548c\u8f83\u5c0f，\u9700\u8981\u5408\u5e76\u4e0b\u4e00\u4e2a\u5143\u7d20
\n sum_a += a[cnt_a++]; \/\/ \u5408\u5e76a\u7684\u4e0b\u4e00\u4e2a\u5143\u7d20
\n cnt_sum++; \/\/ \u5408\u5e76\u6b21\u6570\u52a01
\n } else {
\n \/\/ b\u7684\u524d\u7f00\u548c\u8f83\u5c0f，\u9700\u8981\u5408\u5e76\u4e0b\u4e00\u4e2a\u5143\u7d20
\n sum_b += b[cnt_b++]; \/\/ \u5408\u5e76b\u7684\u4e0b\u4e00\u4e2a\u5143\u7d20
\n cnt_sum++; \/\/ \u5408\u5e76\u6b21\u6570\u52a01
\n }<\/p>\n
\/\/ \u68c0\u67e5\u662f\u5426\u5df2\u7ecf\u904d\u5386\u5b8c\u4e24\u4e2a\u6570\u7ec4\u7684\u6240\u6709\u5143\u7d20
\n if (cnt_a == n && cnt_b == m) {
\n break;
\n }
\n }<\/p>\n
\/\/ \u8f93\u51fa\u6700\u7ec8\u7684\u5408\u5e76\u6b21\u6570
\n System.out.println(cnt_sum);
\n scanner.close();
\n }
\n} <\/p>\n
\u4e94\u3001\u6570\u4e09\u89d2<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u5728\u4e8c\u7ef4\u5750\u6807\u7cfb\u4e2d\u653e\u7f6e\u4e86\u00a0n\u00a0\u4e2a\u70b9，\u4ed6\u60f3\u5728\u5176\u4e2d\u9009\u51fa\u4e00\u4e2a\u5305\u542b\u4e09\u4e2a\u70b9\u7684\u5b50\u96c6，\u8fd9\u4e09\u4e2a\u70b9\u80fd\u7ec4\u6210\u4e09\u89d2\u5f62\u3002\u7136\u800c\u8fd9\u6837\u7684\u65b9\u6848\u592a\u591a\u4e86，\u4ed6\u51b3\u5b9a\u53ea\u9009\u62e9\u90a3\u4e9b\u53ef\u4ee5\u7ec4\u6210\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u65b9\u6848\u3002\u8bf7\u5e2e\u4ed6\u8ba1\u7b97\u51fa\u4e00\u5171\u6709\u591a\u5c11\u79cd\u9009\u6cd5\u53ef\u4ee5\u7ec4\u6210\u7b49\u8170\u4e09\u89d2\u5f62？<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171\u00a0n+1 \u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6b63\u6574\u6570\u00a0n\u3002<\/p>\n
\u540e\u9762\u00a0n\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0xi,\u00a0yi\u8868\u793a\u7b2c\u00a0i\u00a0\u4e2a\u70b9\u7684\u5750\u6807\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171 1\u00a0\u884c，\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
5
\n1 1
\n4 1
\n1 0
\n2 1
\n1 2<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
4<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u4e00\u5171\u6709\u00a04\u00a0\u79cd\u9009\u6cd5:\u00a0{3,4,5}\u3001{1,3,4}\u3001{5,2,3}\u3001{1,4,5}\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u2264200\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u22642000，0\u2264xi,yi\u226410^9\u3002<\/p>\n
\/* \u00a0 \u672c\u9898\u8981\u662f\u76f4\u63a53\u5c42\u66b4\u529b，\u80af\u5b9a\u5bf9，\u4f46\u662f\u53ea\u80fd\u83b7\u53d660%\u7684\u5206！ \u00a0 \u6240\u4ee5\u8981\u7528\u4e0a\u5f88\u591a\u4f18\u5316\u65b9\u5f0f \u00a0 \u5982：\u6839\u636e\u534a\u5f84\u6c42\u89e3，\u53c9\u4e58(\u5728\u672c\u6587\u4e0b\u65b9\u6709\u8bb2\u89e3，\u4e5f\u53ef\u4e0a\u7f51\u641c)\u5224\u662f\u5426\u4e09\u70b9\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a \u00a0 \u901a\u8fc7vector<map<ll,vector<int>>> \u9884\u5904\u7406\u5206\u7ec4\u3002 \u00a0 \u6700\u540e\u7528unordered_map\u5b58\u50a8，O(1)<\/p>\n
\u00a0 \u5176\u5b9e\u6700\u5f00\u59cb，\u6211\u4e5f\u662f\u6709\u7591\u95ee\u7684，\u8fd9\u662f\u600e\u4e48\u5c06O(n^3)\u4f18\u5316\u5230\u63a5\u8fd1O(n^2) \u00a0 \u6bd5\u7adf\u9884\u5904\u7406\u5206\u7ec4\u540e\u4e0b\u65b9\u4ecd\u67094\u5c42\u5faa\u73af\u5462 \u00a0 \u5176\u5b9e\u753b\u4e2a\u56fe\u5c31\u597d\u4e86\u3002 \u00a0 \u6ca1\u4f18\u5316\u4e4b\u524d，\u6bcf\u4e2a\u8282\u70b9\u90fd\u8981\u5224\u65ad(n^2)\u6b21,\u4f18\u5316\u4e4b\u540e，\u6bcf\u4e2a\u8282\u70b9\u4ec5\u9700\u5224\u65ad\u5206\u7ec4\u8fc7\u540e\u7684\u5c31\u884c(\u54ea\u6015\u662f4\u5c42，\u5176\u5b9e\u6709\u6548\u7684\u70b9\u4e0d\u591a，\u53ef\u8fd1\u4f3c\u6210\u7ebf\u6027)\u3002 *\/<\/p>\n
\u00a0C++<\/h5>\n
#include <iostream>
\n#include <vector>
\n#include <unordered_map>
\nusing namespace std;<\/p>\n
#define ll long long \/\/ \u56e0\u4e3a\u4e0d\u53ef\u80fd\u51fa\u73b0\u8d1f\u6570，\u76f4\u63a5\u5f00\u5230\u6700\u5927(unsigned long long)
\nconst ll N = 2e3+5;<\/p>\n
struct point{
\n int x;
\n int y;
\n}p[N]; \/\/ \u5b9a\u4e49\u8282\u70b9-\u9884\u5904\u7406<\/p>\n
ll get_radius(int i, int j){ \/\/ \u534a\u5f84\u7684\u5e73\u65b9
\n return (p[i].x-p[j].x)*(p[i].x-p[j].x) + (p[i].y-p[j].y)*(p[i].y-p[j].y);
\n}<\/p>\n
bool is_parallel(int i, int j, int k){ \/\/ \u7528\u53c9\u4e58\u7684\u65b9\u6cd5，\u5feb\u901f\u5224\u65ad，\u8fd9\u4e00\u6b65\u4e0d\u4f1a\u7684，\u53ef\u4ee5\u4e0a\u7f51\u67e5\u8be2\u53c9\u4e58\u7684\u4f5c\u7528，\u4ee5\u53ca\u7528\u6cd5\u3002
\n ll v = (p[j].x-p[i].x)*(p[k].y-p[i].y)-(p[j].y-p[i].y)*(p[k].x-p[i].x); \/\/ i-j(p[j].x-p[i].x),(p[j].y-p[i].y) \u4e0e i-k(p[k].x-p[i].x),(p[k].y-p[i].y)
\n if(v==0) return true;
\n else return false;
\n}<\/p>\n
int main(){
\n int n;
\n cin>>n;
\n for(int i=0; i<n; ++i) cin>>p[i].x>>p[i].y;
\n vector<unordered_map<ll,vector<int>>> vec(n); \/\/ \u5b58
\n \/\/ \u9884\u5904\u7406，\u53ea\u9700\u8981\u8017\u65f6O(n^2)，\u5373\u53ef\u5206\u5806，\u907f\u514d3\u5c42\u66b4\u529b\u7684\u5927\u91cf\u91cd\u590d\u8ba1\u7b97
\n for(int i=0; i<n; ++i){
\n unordered_map<ll,vector<int>> m; \/\/ \u7528\u534a\u5f84\u7684\u5e73\u65b9\u50a8\u5b58，\u8fd9\u6837\u5c31\u4e0d\u7528\u5f00\u65b9\u4e86
\n for(int j=0; j<n; ++j){
\n if(i==j) continue;
\n ll len = get_radius(i,j);
\n m[len].push_back(j); \/\/ \u628a\u8fd9\u4e2a\u70b9\u5b58\u8fdb\u53bb
\n }
\n vec[i] = m; \/\/ \u628amap\u5b58\u5165
\n }\/\/ \u6700\u5927\u7684\u4f18\u70b9\u5c31\u662f\u907f\u514d\u4e86\u8bb8\u591a\u65e0\u610f\u4e49\u7684\u91cd\u590d\u8ba1\u7b97<\/p>\n
int sum = 0;
\n for(int i=0; i<n; ++i){ \/\/ \u627e\u5230\u8fd9\u4e2a\u70b9，\u5224\u65ad\u5176\u5185\u90e8\u7684\u5b58\u50a8
\n auto m = vec[i]; \/\/ \u8fd9\u4e2a\u7684\u51fa\u6765\u7684\u77e5\u8bc6map\u7ed3\u5408，\u91cc\u9762\u5e7c\u5ae9\u591a
\n for(auto it=m.begin(); it!=m.end(); ++it){
\n vector<int> p_m = it->second;
\n if(p_m.size()<=1) continue; \/\/ \u8fd9\u79cd\u60c5\u51b5\u4e0b，\u8df3\u8fc7
\n for(int j=0; j<p_m.size(); ++j){
\n for(int k=j+1; k<p_m.size(); ++k){
\n if(is_parallel(i,p_m[j],p_m[k])) continue; \/\/ \u5171\u7ebf
\n sum++;
\n }
\n }
\n }
\n }
\n cout<<sum<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.*;
\npublic class Main {
\n public static void main(String[] args) {
\n \/\/\u8f93\u51fa\u90e8\u5206
\n \/\/\u8bfb\u53d6\u8f93\u5165\u7684\u70b9，\u5e76\u7edf\u8ba1\u6bcf\u4e2a\u70b9\u7684\u51fa\u73b0\u6b21\u6570
\n Scanner sc = new Scanner(System.in);
\n int n = sc.nextInt();\/\/\u8f93\u5165\u70b9\u7684\u6570\u91cf
\n int[] x = new int [n + 10];\/\/\u5b58\u50a8\u6bcf\u4e2a\u70b9\u7684x\u5750\u6807
\n int[] y = new int [n + 10];\/\/\u5b58\u50a8\u6bcf\u4e2a\u70b9\u7684y\u5750\u6807
\n HashMap<String, Integer> s = new HashMap<>();\/\/\u7edf\u8ba1\u6bcf\u4e2a\u70b9\u7684\u51fa\u73b0\u6b21\u6570\/\/\u952e\u662f\u70b9\u7684\u5750\u6807，\u5982（"1 2")
\n for(int i = 0; i < n; i++){
\n x[i] = sc.nextInt();\/\/\u8f93\u5165\u7b2ci\u4e2a\u70b9\u7684x\u5750\u6807
\n y[i] = sc.nextInt();\/\/\u8f93\u5165\u7b2ci\u4e2a\u70b9\u7684y\u5750\u6807
\n String t = x[i] + " " + y[i];\/\/\u5c06\u5750\u6807\u62fc\u63a5\u6210\u5b57\u7b26\u4e32\u4f5c\u4e3a\u952e
\n s.put(t, s.getOrDefault(t , 0) + 1);\/\/\u7edf\u8ba1\u8bfb\u70b9\u7684\u51fa\u73b0\u6b21\u6570
\n }
\n \/\/\u8ba1\u7b97\u6838\u5fc3\u90e8\u5206
\n \/\/\u5bf9\u4e8e\u6bcf\u4e2a\u70b9i，\u8ba1\u7b97\u5b83\u4e0e\u5176\u4ed6\u6240\u6709\u70b9j\u7684\u8ddd\u79bb，\u5e76\u5c06\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\u5206\u7ec4
\n long res = 0;\/\/\u6700\u7ec8\u7ed3\u679c
\n for(int i = 0; i < n; i++){
\n HashMap< Long,List<Integer> > map = new HashMap<>();\/\/\u5b58\u50a8\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\u7684\u7d22\u5f15
\n for(int j = 0; j < n; j++){
\n if(i == j) continue;\/\/\u8df3\u8fc7\u81ea\u5df1
\n long d = (long)(Math.pow(x[i] – x[j], 2) + Math.pow(y[i] – y[j] , 2));\/\/\u8ba1\u7b97\u8ddd\u79bb\u7684\u5e73\u65b9
\n List<Integer> list = map.getOrDefault(d, new ArrayList<>());\/\/\u521d\u59cb\u5316\u5217\u8868
\n list.add(j);\/\/\u5c06\u70b9j\u52a0\u5165\u5bf9\u5e94\u7684\u5217\u8868
\n map.put(d,list);\/\/\u66f4\u65b0map
\n }
\n \/\/map\u662f\u4e00\u4e2a\u54c8\u5e0c\u8868，\u952e\u662f\u8ddd\u79bb\u7684\u5e73\u65b9（d）\u503c\u662f\u4e00\u4e2a\u5217\u8868，\u5b58\u50a8\u6240\u6709\u4e0e\u70b9i\u8ddd\u79bb\u4e3ad\u7684\u70b9\u7684\u7d22\u5f15
\n \/\/d\u662f\u70b9i\u548c\u70b9j\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u5e73\u65b9（\u4e3a\u4e86\u8282\u7701\u8ba1\u7b97\u91cf，\u6ca1\u6709\u5f00\u5e73\u65b9）
\n for(long b : map.keySet()){
\n List<Integer>list = map.get(b);\/\/\u83b7\u53d6\u8ddd\u79bb\u4e3ab\u7684\u6240\u6709\u70b9
\n res += (list.size() * (list.size() – 1)) \/2;\/\/\u7edf\u8ba1\u70b9\u7684\u6570\u91cf
\n long c = 0;
\n for(int j : list){
\n long x3 = 2 * x[i] – x[j], y3 = 2 * y[i] – y[j];\/\/\u8ba1\u7b97\u5bf9\u79f0\u5e26\u70b9x\u4e0ey\u7684\u5750\u6807
\n if(s.containsKey(x3 + " " + y3)){\/\/\u62fc\u63a5\u6210\u5b57\u7b26\u4e32
\n c += s.get(x3 + " " + y3);\/\/\u7edf\u8ba1\u5bf9\u79f0\u70b9\u7684\u51fa\u73b0\u6b21\u6570
\n }
\n }
\n res -= c\/2;\/\/\u51cf\u53bb\u91cd\u590d\u7edf\u8ba1\u7684\u70b9\u5bf9
\n }
\n }
\n System.out.println(res);
\n }
\n} <\/p>\n
\u516d\u3001\u5220\u8fb9\u95ee\u9898<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u7ed9\u5b9a\u4e00\u4e2a\u5305\u542b\u00a0N\u00a0\u4e2a\u7ed3\u70b9\u00a0M\u00a0\u6761\u8fb9\u7684\u65e0\u5411\u56fe\u00a0G，\u7ed3\u70b9\u7f16\u53f7\u00a01…N\u3002\u5176\u4e2d\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u6709\u4e00\u4e2a\u70b9\u6743\u00a0Wi\u200b\u3002<\/p>\n
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\u5bf9\u4e8e\u4e00\u79cd\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848，\u6211\u4eec\u5047\u8bbe\u00a02\u00a0\u4e2a\u8fde\u901a\u5206\u91cf\u5305\u542b\u7684\u70b9\u7684\u6743\u503c\u4e4b\u548c\u5206\u522b\u4e3a\u00a0X\u548c\u00a0Y，\u8bf7\u4f60\u627e\u51fa\u4e00\u79cd\u4f7f\u5f97\u00a0X\u4e0e\u00a0Y\u00a0\u7684\u5dee\u503c\u6700\u5c0f\u7684\u65b9\u6848\u3002\u8f93\u51fa\u00a0X\u00a0\u4e0e\u00a0Y\u00a0\u7684\u5dee\u503c\u3002<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570\u00a0N\u00a0\u548c\u00a0M\u3002<\/p>\n
\u7b2c\u4e8c\u884c\u5305\u542b\u00a0N\u4e2a\u6574\u6570，W1,W2,…WN\u200b\u3002<\/p>\n
\u4ee5\u4e0b\u00a0M\u00a0\u884c\u6bcf\u884c\u5305\u542b\u00a02\u00a0\u4e2a\u6574\u6570\u00a0U\u00a0\u548c\u00a0V，\u4ee3\u8868\u7ed3\u70b9\u00a0U\u00a0\u548c\u00a0V\u4e4b\u95f4\u6709\u4e00\u6761\u8fb9\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u4e00\u4e2a\u6574\u6570\u4ee3\u8868\u6700\u5c0f\u7684\u5dee\u503c\u3002\u5982\u679c\u4e0d\u5b58\u5728\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848，\u8f93\u51fa\u00a0\u22121\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
4 4
\n10 20 30 40
\n1 2
\n2 1
\n2 3
\n3 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
20<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u7531\u4e8e\u00a01\u00a0\u548c\u00a02\u00a0\u4e4b\u95f4\u5b9e\u9645\u6709\u00a02\u00a0\u6761\u8fb9，\u6240\u4ee5\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848\u6709\u00a02\u00a0\u79cd，\u5206\u522b\u662f\u5220\u9664\u00a0(2,3)\u00a0\u4e4b\u95f4\u7684\u8fb9\u548c\u5220\u9664 (3,4)\u00a0\u4e4b\u95f4\u7684\u8fb9\u3002<\/p>\n
\u5220\u9664\u00a0(2,3)\u00a0\u4e4b\u95f4\u7684\u8fb9，\u5269\u4e0b\u7684\u56fe\u5305\u542b\u00a022\u00a0\u4e2a\u8fde\u901a\u5206\u91cf:\u00a0{1,2}\u00a0\u548c{3,4}，\u70b9\u6743\u548c\u5206\u522b\u662f\u00a030\u300170，\u5dee\u4e3a\u00a040\u3002<\/p>\n
\u5220\u9664\u00a0(3,4)\u00a0\u4e4b\u95f4\u7684\u8fb9，\u5269\u4e0b\u7684\u56fe\u5305\u542b\u00a022\u00a0\u4e2a\u8fde\u901a\u5206\u91cf: {1,2,3}\u00a0\u548c\u00a0{4}，\u70b9\u6743\u548c\u5206\u522b\u662f\u00a060\u300140，\u5dee\u4e3a\u00a020\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020%\u00a0\u7684\u6570\u636e，1\u2264N,M\u226410000\u3002<\/p>\n
\u5bf9\u4e8e\u53e6\u5916\u00a020%\u7684\u6570\u636e，\u6bcf\u4e2a\u7ed3\u70b9\u7684\u5ea6\u6570\u4e0d\u8d85\u8fc7\u00a02\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，1\u2264N,M\u2264200000，0\u2264Wi\u226410^9，1\u2264U,V\u2264N\u3002<\/p>\n
\/\/ \u672c\u9898\u4e3atarjan\u7b97\u6cd5\u7684\u53d8\u79cd，\u4e0d\u61c2\u7684，\u53ef\u4ee5\u5148\u641c\u4e00\u4e0b\u57fa\u672c\u7528\u6cd5（\u6d89\u53ca\u56fe\u7684\u77e5\u8bc6），\u672c\u6587\u6700\u5e95\u90e8，\u4e5f\u6709\u4f18\u8d28\u89c6\u9891\u7684\u94fe\u63a5 \/* \u00a0 \u5176\u5b9e\u672c\u9898\u4e0d\u96be，\u53ea\u8981\u6709\u56fe\u7684\u57fa\u7840\u5c31\u884c–（\u80fd\u770b\u61c2\u7b54\u6848\u7684\u524d\u63d0） \u00a0 \u8fde\u901a\u5206\u91cf：\u56fe\u7684\u4e00\u4e2a\u5b50\u56fe，\u8fd9\u4e2a\u5b50\u56fe\u4e2d，\u4efb\u610f\u4e24\u70b9\u4e4b\u95f4，\u90fd\u5b58\u5728\u53ef\u8fbe\u8def\u5f84 \u00a0 \u7136\u540e\u5c31\u662f tarjan \u7b97\u6cd5（\u61c2\u5f97\u53ef\u4ee5\u4e0d\u7528\u770b，\u5efa\u8bae\u5148\u770b\u89c6\u9891，\u77e5\u9053tarjan\u662f\u5565） \u00a0 * \u00a0 \u00a0 \u7528dfn（\u53d1\u73b0\u65f6\u95f4\u6233）\u4e0elow（\u6700\u4f4e\u53ef\u8fbe\u7956\u5148\u7684\u53d1\u73b0\u65f6\u95f4\u6233）\u3002\u786e\u5207\u7684\u8bf4，\u4ed6\u4fe9\u90fd\u662f\u4e2a\u7f16\u53f7\u3002 \u00a0 \u00a0 \u7136\u540e\u7528cnt（count）\u8fd9\u4e2a\u8bbe\u7f6e\u65f6\u95f4\u6233\u3002\u6bcf\u6b21++\u3002 \u00a0 \u00a0 –\u4ee5\u4e0a\u662ftarjan\u7b97\u6cd5\u6a21\u7248– \u00a0 \u00a0 \u5efa\u7acb\u4e00\u4e2a\u51fd\u6570tarjan(n,fa) \/\/ n\u662f\u73b0\u8282\u70b9，fa\u662f\u7236\u8282\u70b9，\u907f\u514d\u91cd\u590d\u7528\u7684 \u00a0 \u00a0 \u7136\u540e，\u9012\u5f52\u8c03\u7528\u6bcf\u4e2a\u73b0\u9636\u6bb5\u5b50\u8282\u70b9（\u5927\u81f4\u4f1a\u5148\u5c06\u6240\u6709） \u00a0 \u00a0 \u6b64\u65f6\u6709\u4e09\u79cd\u60c5\u51b5 \u00a0 \u00a0 \u00a0 1\u3001\u662f\u672a\u88ab\u904d\u5386\u8fc7\u7684\u65b0\u8282\u70b9 \u00a0 \u00a0 \u00a0 \u00a0 （\u8fd9\u65f6\u53ef\u4ee5\u7ee7\u7eed\u5411\u4e0b\u641c\u7d22，\u7b49\u56de\u9000\u5230\u8fd9\u91cc\u65f6， \u00a0 \u00a0 \u00a0 \u00a0 （\u66f4\u65b0\u4e00\u4e0blow\u503c，\u82e5\u679c\u73b0\u8282\u70b9\u7684dfn\u5c0f\u4e8e\u5b50\u8282\u70b9\u7684low\u503c(dfn<low)，\u4ee3\u8868\u8fde\u901a\u4e24\u8282\u70b9\u7684\u8fb9\u80fd\u88ab\u5272\u53bb \u00a0 \u00a0 \u00a0 \u00a0 （\u4e3a\u4e86\u8ba1\u6570，\u53ef\u4ee5\u5728\u7ef4\u62a4\u4e00\u4e2aw\u96c6\u5408，\u7528\u4e8e\u50a8\u5b58\u4ee5\u672c\u8282\u70b9\u4e3a\u7ed3\u5c3e\u7684\u603b\u548c \u00a0 \u00a0 \u00a0 2\u3001\u904d\u5386\u5230\u4e86\u7236\u8282\u70b9 \u00a0 \u00a0 \u00a0 \u00a0 （\u53ef\u4ee5\u6beb\u4e0d\u72b9\u8c6b\u7684\u9000\u56de\u4e86） \u00a0 \u00a0 \u00a0 3\u3001\u904d\u5386\u5230\u4e86\u975e\u7236\u8282\u70b9\u7684\u65e7\u8282\u70b9 \u00a0 \u00a0 \u00a0 \u00a0 （\u8fd9\u4e2a\u53ef\u662f\u66f4\u65b0low\u503c\u7684\u597d\u65f6\u5019 \u00a0 \u00a0 \u00a0 \u00a0 （\u662f\u4e3a\u4e86\u7ed9，\u56de\u6eaf\u65f6，\u5224\u65ad\u662f\u5426\u80fd\u6784\u6210\u8054\u901a\u56fe \u00a0 \u00a0\u505a\u51c6\u5907 \u00a0 * \u00a0 \/\/ \u62d3\u5c55-\u4ece\u5272\u8fb9\u95ee\u9898 -> \u5272\u70b9\u95ee\u9898 \u00a0 (\u5272\u70b9\u95ee\u9898\u65f6，\u9700\u8981\u5c06low\u5c0f\u4e8e\u7b49\u4e8edfn(low<=dfn) \u00a0 (\u4e3a\u5565<=\u4e2d，\u591a\u4e86\u4e2a\u7b49\u4e8e？\u56e0\u4e3a\u4e00\u65e6\u5220\u6389\u8fd9\u4e2a\u70b9，\u6574\u4e2a\u94fe\u5b50\u5c31\u4f1a\u65ad\u5f00，Java\u89e3\u6790\u4e0b\u65b9\u6709\u56fe\u89e3 *\/<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <cmath>
\n#include <vector>
\n#define ll long long
\nusing namespace std;
\nconst ll N = 1e6+5;
\nconst ll maxn = 0x3f3f3f3f3f3f3f3f; \/\/ \u5b9a\u4e49\u201c\u4f2a\u6700\u5927\u503c\u201d
\nll n,m,sum_value=0,cnt=0,ans=maxn; \/\/ sum_value\u603b\u548c,cnt\u8ba1\u6570\u5668<\/p>\n
vector<ll> dfn(N,0),low(N,0);
\nvector<int> vec[N]; \/\/ \u5b9a\u4e49\u90bb\u63a5\u8868
\nvector<ll> value(N,0); \/\/ \u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503c
\nvector<ll> node_sum(N,0); \/\/ \u56de\u9000\u56de\u6765\u7684\u8282\u70b9\u603b\u548c<\/p>\n
void tarjan(int u, int fa){ \/\/ \u73b0\u8282\u70b9u\u3001\u7236\u8282\u70b9fa
\n dfn[u]=low[u]=++cnt;
\n for(int v:vec[u]){
\n if(dfn[v]==0){ \/\/ \u6ca1\u904d\u5386\u8fc7
\n tarjan(v,u);
\n low[u] = min(low[v],low[u]);
\n if(dfn[u]<low[v]) ans=min(ans,abs(sum_value-2*value[v]));
\n value[u] += value[v];
\n }else if(v!=fa){
\n low[u]=min(low[u],low[v]);
\n }
\n }
\n}<\/p>\n
void slove(){ \/\/ \u4f5c\u4e3a\u4e2d\u8f6c\u7ad9
\n cin>>n>>m;
\n for(int i=1; i<=n; ++i) cin>>value[i],sum_value+=value[i];
\n for(int i=0; i<m; ++i){ \/\/ \u5c06\u65e0\u5411\u56fe\u5b58\u5165
\n int r1,r2;
\n cin>>r1>>r2;
\n vec[r1].push_back(r2);
\n vec[r2].push_back(r1);
\n }
\n \/\/ \u73b0\u5728\u5565\u90fd\u6709\u4e86
\n tarjan(1,0);
\n if(value[1]!=sum_value) cout<<abs(sum_value-2*value[1])<<endl;
\n else if(ans!=maxn) cout<<ans<<endl;
\n else cout<<-1<<endl;
\n}<\/p>\n
int main(){
\n slove();
\n return 0;
\n}<\/p>\n
Java<\/h5>\n
import java.util.ArrayList;
\nimport java.util.List;
\nimport java.util.Scanner;<\/p>\n
public class Main {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N \u4f5c\u4e3a\u6570\u7ec4\u5927\u5c0f
\n static final long N = (long) (1e6 + 5);
\n \/\/ \u5b9a\u4e49\u201c\u4f2a\u6700\u5927\u503c\u201d
\n static final long maxn = 0x3f3f3f3f3f3f3f3fL;
\n \/\/ \u8282\u70b9\u6570\u91cf n，\u8fb9\u7684\u6570\u91cf m
\n static long n, m;
\n \/\/ \u6240\u6709\u8282\u70b9\u6743\u503c\u603b\u548c
\n static long sum_value = 0;
\n \/\/ \u65f6\u95f4\u6233\u8ba1\u6570\u5668
\n static long cnt = 0;
\n \/\/ \u5b58\u50a8\u6700\u7ec8\u7ed3\u679c
\n static long ans = maxn;
\n \/\/ \u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u7684\u53d1\u73b0\u65f6\u95f4\u6233
\n static List<Long> dfn = new ArrayList<>();
\n \/\/ \u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u80fd\u56de\u6eaf\u5230\u7684\u6700\u65e9\u7956\u5148\u7684\u53d1\u73b0\u65f6\u95f4\u6233
\n static List<Long> low = new ArrayList<>();
\n \/\/ \u90bb\u63a5\u8868，\u5b58\u50a8\u56fe\u7684\u7ed3\u6784
\n static List<List<Integer>> vec = new ArrayList<>();
\n \/\/ \u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503c
\n static List<Long> value = new ArrayList<>();<\/p>\n
\/\/ Tarjan \u7b97\u6cd5\u6838\u5fc3\u51fd\u6570
\n static void tarjan(int u, int fa) {
\n \/\/ \u521d\u59cb\u5316\u5f53\u524d\u8282\u70b9\u7684\u53d1\u73b0\u65f6\u95f4\u6233\u548c\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233
\n dfn.set(u, ++cnt);
\n low.set(u, cnt);
\n \/\/ \u904d\u5386\u5f53\u524d\u8282\u70b9\u7684\u6240\u6709\u90bb\u63a5\u8282\u70b9
\n for (int v : vec.get(u)) {
\n if (dfn.get(v) == 0) { \/\/ \u5982\u679c\u90bb\u63a5\u8282\u70b9\u672a\u88ab\u8bbf\u95ee\u8fc7
\n \/\/ \u9012\u5f52\u8c03\u7528 Tarjan \u7b97\u6cd5\u5904\u7406\u90bb\u63a5\u8282\u70b9
\n tarjan(v, u);
\n \/\/ \u66f4\u65b0\u5f53\u524d\u8282\u70b9\u7684\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233
\n low.set(u, Math.min(low.get(u), low.get(v)));
\n \/\/ \u5982\u679c\u5f53\u524d\u8282\u70b9\u7684\u53d1\u73b0\u65f6\u95f4\u6233\u5c0f\u4e8e\u90bb\u63a5\u8282\u70b9\u7684\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233，\u8bf4\u660e\u8be5\u8fb9\u662f\u5272\u8fb9
\n if (dfn.get(u) < low.get(v)) {
\n ans = Math.min(ans, Math.abs(sum_value – 2 * value.get(v)));
\n }
\n \/\/ \u5c06\u90bb\u63a5\u8282\u70b9\u7684\u6743\u503c\u7d2f\u52a0\u5230\u5f53\u524d\u8282\u70b9
\n value.set(u, value.get(u) + value.get(v));
\n } else if (v != fa) { \/\/ \u5982\u679c\u90bb\u63a5\u8282\u70b9\u5df2\u88ab\u8bbf\u95ee\u4e14\u4e0d\u662f\u7236\u8282\u70b9
\n \/\/ \u66f4\u65b0\u5f53\u524d\u8282\u70b9\u7684\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233
\n low.set(u, Math.min(low.get(u), low.get(v)));
\n }
\n }
\n }<\/p>\n
\/\/ \u4e3b\u5904\u7406\u51fd\u6570
\n static void solve() {
\n Scanner scanner = new Scanner(System.in);
\n \/\/ \u8bfb\u53d6\u8282\u70b9\u6570\u91cf\u548c\u8fb9\u7684\u6570\u91cf
\n n = scanner.nextLong();
\n m = scanner.nextLong();
\n \/\/ \u521d\u59cb\u5316\u5217\u8868
\n for (int i = 0; i <= n; i++) {
\n dfn.add(0L);
\n low.add(0L);
\n value.add(0L);
\n vec.add(new ArrayList<>());
\n }
\n \/\/ \u8bfb\u53d6\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503c\u5e76\u8ba1\u7b97\u603b\u548c
\n for (int i = 1; i <= n; i++) {
\n value.set(i, scanner.nextLong());
\n sum_value += value.get(i);
\n }
\n \/\/ \u8bfb\u53d6\u8fb9\u7684\u4fe1\u606f\u5e76\u6784\u5efa\u90bb\u63a5\u8868
\n for (int i = 0; i < m; i++) {
\n int r1 = scanner.nextInt();
\n int r2 = scanner.nextInt();
\n vec.get(r1).add(r2);
\n vec.get(r2).add(r1);
\n }
\n \/\/ \u4ece\u8282\u70b9 1 \u5f00\u59cb\u8fdb\u884c Tarjan \u7b97\u6cd5
\n tarjan(1, 0);
\n \/\/ \u5982\u679c\u8282\u70b9 1 \u7684\u6743\u503c\u603b\u548c\u4e0d\u7b49\u4e8e\u6240\u6709\u8282\u70b9\u7684\u6743\u503c\u603b\u548c
\n if (value.get(1) != sum_value) {
\n System.out.println(Math.abs(sum_value – 2 * value.get(1)));
\n } else if (ans != maxn) { \/\/ \u5982\u679c\u627e\u5230\u4e86\u5272\u8fb9
\n System.out.println(ans);
\n } else { \/\/ \u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u5272\u8fb9
\n System.out.println(-1);
\n }
\n }<\/p>\n
public static void main(String[] args) {
\n \/\/ \u8c03\u7528\u4e3b\u5904\u7406\u51fd\u6570
\n solve();
\n }
\n} <\/p>\n
\u00a0\u62d3\u5c55（\u5272\u70b9）：<\/p>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115450-68023d8af0fa6.png\")
\u200b<\/p>\n<\/p>\n
\u4e03\u3001AB\u8def\u7ebf<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u62ff\u4e86\u00a0n\u6761\u7ebf\u6bb5\u7ec3\u4e60\u6293\u5a03\u5a03\u3002\u4ed6\u5c06\u6240\u6709\u7ebf\u6bb5\u94fa\u5728\u6570\u8f74\u4e0a，\u7b2c\u00a0i\u00a0\u6761\u7ebf\u6bb5\u7684\u5de6\u7aef\u70b9\u5728\u00a0li\u200b，\u53f3\u7aef\u70b9\u5728\u00a0ri\u200b\u3002\u5c0f\u660e\u7528\u00a0m\u00a0\u4e2a\u533a\u95f4\u53bb\u6846\u8fd9\u4e9b\u7ebf\u6bb5，\u7b2c\u00a0i\u00a0\u4e2a\u533a\u95f4\u7684\u8303\u56f4\u662f [Li\u200b,\u00a0Ri\u200b]\u3002\u5982\u679c\u4e00\u4e2a\u7ebf\u6bb5\u6709\u00a0\u81f3\u5c11\u4e00\u534a\u00a0\u7684\u957f\u5ea6\u88ab\u5305\u542b\u5728\u67d0\u4e2a\u533a\u95f4\u5185，\u5219\u5c06\u5176\u89c6\u4e3a\u88ab\u8fd9\u4e2a\u533a\u95f4\u6846\u4f4f\u3002\u8bf7\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u533a\u95f4\u6846\u4f4f\u4e86\u591a\u5c11\u4e2a\u7ebf\u6bb5?<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171 n+m+1\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570\u00a0n,\u00a0m\u3002<\/p>\n
\u540e\u9762\u00a0n\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0li\u200b,\u00a0ri\u200b\u3002<\/p>\n
\u540e\u9762\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0Li\u200b,\u00a0Ri\u200b\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
3 2
\n1 2
\n1 3
\n3 4
\n1 4
\n2 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
3
\n2<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1 n,m\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e 100%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,m\u226410^5，li\u200b<ri\u200b，0<li,ri,Li,Ri\u226410^6，max{ri\u200b\u2212li\u200b}\u2264min{Ri\u200b\u2212Li\u200b}.<\/p>\n
\/* \u00a0 \u00a0\u5ba1\u9898 \u201c\u5c0f\u84dd\u6700\u5c11\u8981\u8d70\u591a\u5c11\u6b65？\u201d，\u201c\u6700\u5c11\u201d \u00a0 \u00a0BFS\u5c31\u662f\u89e3\u51b3\u56fe-\u6700\u77ed\u8def\u5f84\u7684\u7279\u6548\u836f， \u00a0 \u00a0DFS\u6df1\u641c\u4e5f\u80fd\u641c\u5230，\u4f46\u4e0d\u4e00\u5b9a\u662f\u6700\u77ed\u7684，\u6df1\u641c\u66f4\u503e\u5411\u4e8e\u6392\u5217\u7ec4\u5408\u3001\u89e3\u6570\u72ec\u3001\u516b\u7687\u540e，\u8fd9\u79cd\u5c1d\u8bd5\u6027\u7684\u7b97\u6cd5\u3002 \u00a0 \u00a0\u597d\u4e86，\u786e\u5b9a\u672c\u9898\u7684\u57fa\u8c03，\u5c31\u662f\u5e7f\u641c<\/p>\n
\u00a0 \u00a0\u5728\u5f00\u59cb\u4e4b\u524d，\u8fd8\u9700\u8003\u8651\u4e00\u4e2a\u95ee\u9898，\u5c31\u662f\u66b4\u529b\u641c\u7d22\u5fc5\u7136\u4f1a\u8d85\u65f6，\u56e0\u6b64，\u679d\u51cf\u64cd\u4f5c，\u5fc5\u4e0d\u53ef\u5c11\u3002\u4e5f\u5c31\u662f\u8981\u5f15\u5165\u8bb0\u5fc6\u5316\u641c\u7d22\u3002 \u00a0 \u00a0\u8fd9\u4e2a\u65f6\u5019，\u5c31\u8981\u601d\u8003，\u7528\u4ec0\u4e48\u5b58\u50a8\u8bb0\u5fc6\u5316\u641c\u7d22 \u00a0 \u00a0\u6ce8\u610f\u672c\u9898 "\u683c\u5b50\u6570，\u8981\u662fK\u7684\u500d\u6570，\u6240\u4ee5\u8fd9\u91cc\u6d89\u53ca\u5230\u4e86k" \u00a0 \u00a0-used[i][j][k]; \u5176\u4e2dk\u6765\u50a8\u5b58\u8d70\u5230\u8fd9\u4e2a\u683c\u5f0f，\u8fde\u7eed\u8d70\u7684\u6b65\u6570\u3002 \u00a0 \u00a0\u6b65\u6570\u76f8\u540c\u65f6，\u4ee3\u8868\u8be5\u5730\u5740\u5df2\u7ecf\u88ab\u8d70\u8fc7\u3002\u76f8\u540c\u7684\u7b26\u53f7，\u76f8\u540c\u7684\u6b65\u6570，\u6240\u4ee5\u53ef\u4ee5\u76f4\u63a5\u8df3\u8fc7\u3002 \u00a0 \u00a0（\u6ce8\u610f，\u8fd9\u91cc\u4e0d\u7528\u4e09\u7ef4\u6570\u7ec4\u6807\u8bb0，\u662f\u4f1a\u8d85\u65f6\u7684）\u3002<\/p>\n
\u00a0 \u00a0\u6240\u4ee5\u672c\u9898\u7528queue\u5e7f\u641c\u3001used[i][j][k]\u8bb0\u5fc6\u5316\u641c\u7d22\u3001res[i][j][k]\u6807\u8bb0\u8d70\u7684\u8fd9\u4e2a\u4f4d\u7f6e，\u7528\u4e86\u591a\u5c11\u6b65\u3002 *\/<\/p>\n
C++\u00a0<\/h5>\n
#include <iostream>
\n#include <queue>
\nusing namespace std;<\/p>\n
const int N = 1e3+5;
\nconst int step = 1e1+5;
\nstruct node{
\n int x;
\n int y;
\n int step;
\n};
\nint n,m,k;
\nqueue<node> q; \/\/ \u7528\u961f\u5217，\u5b9e\u73b0\u5e7f\u641c
\nbool used[N][N][step]; \/\/ \u9884\u5904\u7406
\nint res[N][N][step]; \/\/ \u8868\u793a，\u6bcf\u4e2a\u8282\u70b9，\u90fd\u5728\u90a3\u4e2a\u72b6\u6001\u8d70\u8fc7
\nchar grid[N][N];<\/p>\n
int xf[]={1,-1,0,0}; \/\/ \u7528\u6765\u8bb0\u5f55\u65b9\u5411\u7684\u6539\u53d8
\nint yf[]={0,0,1,-1};<\/p>\n
int BFS(){
\n q.push({0,0,0}); \/\/ \u5c06\u7b2c\u4e00\u4e2a\u8282\u70b9\u5b58\u5165<\/p>\n
while(!q.empty()){
\n node u = q.front(); q.pop(); \/\/ \u53d6\u51fa\u8be5\u8282\u70b9
\n if(u.x==n-1 && u.y==m-1) return res[u.x][u.y][u.step];<\/p>\n
for(int i=0; i<4; ++i){
\n int X = u.x+xf[i], Y = u.y+yf[i], st = u.step+1;
\n if(X<0||X>=n||Y<0||Y>=m) continue; \/\/ \u51fa\u8fb9\u754c
\n if(st<k&&grid[X][Y]!=grid[u.x][u.y]) continue;
\n if(st==k&&grid[X][Y]==grid[u.x][u.y]) continue;
\n st = st%k; \/\/ \u65f6\u523b\u66f4\u65b0\u7740
\n if(used[X][Y][st]) continue; \/\/ \u90fd\u662f\u66f4\u65b0\u4e4b\u540e，\u5728\u904d\u5386\u7684
\n used[X][Y][st]=true; \/\/ \u8868\u793a\u904d\u5386\u8fc7
\n res[X][Y][st]=res[u.x][u.y][u.step]+1; \/\/ \u591a\u8d70\u4e86\u4e00\u6b65
\n q.push({X,Y,st});
\n }
\n }
\n return -1; \/\/ \u6b64\u65f6\u8fd8\u6ca1\u6709\u89e3\u91ca，\u53ea\u80fd\u8bf4\u660e\u4e00\u4ef6\u4e8b，\u904d\u5386\u5230\u5934\u4e86，\u6ca1\u6709\u7ed3\u679c\u3002
\n}<\/p>\n
int main(){
\n \/\/ \u57fa\u672c\u5904\u7406
\n cin>>n>>m>>k;
\n string str;
\n for(int i=0; i<n; ++i){
\n cin>>str;
\n for(int j=0; j<m; ++j) grid[i][j]=str[j];
\n }
\n cout<<BFS();
\n return 0;
\n}<\/p>\n
Java<\/h5>\n
import java.math.BigInteger;
\nimport java.util.*;<\/p>\n
public class Main {<\/p>\n
static long INF = (long) 1e18;<\/p>\n
public static void main(String[] args) {
\n Scanner sc = new Scanner(System.in);
\n int n = sc.nextInt();
\n int m = sc.nextInt();
\n int k = sc.nextInt();
\n sc.nextLine();
\n char[][] mg = new char[n][m];
\n for (int i = 0; i < n; i++) {
\n mg[i] = sc.nextLine().toCharArray();
\n }
\n LinkedList<Pair> qu = new LinkedList<Pair>();
\n qu.add(new Pair(0, 0, 1));
\n int[][] d = new int[][] {{0,1},{1,0},{0,-1},{-1,0}};
\n boolean[][][] visited = new boolean[n][m][2 * k];
\n for (int step = 0; !qu.isEmpty(); step++) {
\n int num = qu.size();
\n for (int i = 0; i < num; i++) {
\n Pair pair = qu.pollFirst();
\n int px = pair.x, py = pair.y, pf = pair.flag;
\n if (visited[px][py][pf]) {
\n continue;
\n }
\n visited[px][py][pf] = true;
\n if (pair.x == n – 1 && pair.y == m – 1) {
\n System.out.print(step);
\n return;
\n }
\n for (int j = 0; j < 4; j++) {
\n int x = px + d[j][0];
\n int y = py + d[j][1];
\n int f = (pf + 1) % (2 * k);
\n if (x >= 0 && x < n && y >= 0 && y < m) {
\n if (visited[x][y][f]) {
\n continue;
\n }
\n if (pf < k && mg[x][y] == 'A' || pf >= k && mg[x][y] == 'B') {
\n qu.addLast(new Pair(x, y, f));
\n }
\n }
\n }
\n }
\n }
\n System.out.print(-1);
\n }
\n}<\/p>\n
class Pair {
\n int x, y, flag;<\/p>\n
public Pair(int x, int y, int flag) {
\n super();
\n this.x = x;
\n this.y = y;
\n this.flag = flag;
\n }
\n} <\/p>\n
\u516b\u3001\u6293\u5a03\u5a03<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u62ff\u4e86\u00a0n\u00a0\u6761\u7ebf\u6bb5\u7ec3\u4e60\u6293\u5a03\u5a03\u3002\u4ed6\u5c06\u6240\u6709\u7ebf\u6bb5\u94fa\u5728\u6570\u8f74\u4e0a，\u7b2c\u00a0i\u00a0\u6761\u7ebf\u6bb5\u7684\u5de6\u7aef\u70b9\u5728\u00a0li\u200b，\u53f3\u7aef\u70b9\u5728\u00a0ri\u3002\u5c0f\u660e\u7528\u00a0m\u00a0\u4e2a\u533a\u95f4\u53bb\u6846\u8fd9\u4e9b\u7ebf\u6bb5，\u7b2c\u00a0i\u00a0\u4e2a\u533a\u95f4\u7684\u8303\u56f4\u662f [Li\u200b,\u00a0Ri\u200b]\u3002\u5982\u679c\u4e00\u4e2a\u7ebf\u6bb5\u6709\u00a0\u81f3\u5c11\u4e00\u534a\u00a0\u7684\u957f\u5ea6\u88ab\u5305\u542b\u5728\u67d0\u4e2a\u533a\u95f4\u5185，\u5219\u5c06\u5176\u89c6\u4e3a\u88ab\u8fd9\u4e2a\u533a\u95f4\u6846\u4f4f\u3002\u8bf7\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u533a\u95f4\u6846\u4f4f\u4e86\u591a\u5c11\u4e2a\u7ebf\u6bb5?<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171 n+m+1\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570\u00a0n,\u00a0m\u3002<\/p>\n
\u540e\u9762\u00a0n\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0li\u200b,\u00a0ri\u200b\u3002<\/p>\n
\u540e\u9762\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0Li\u200b,\u00a0Ri\u200b\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
3 2
\n1 2
\n1 3
\n3 4
\n1 4
\n2 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
3
\n2<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,m\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,m\u226410^5，li\u200b<ri\u200b，0<li,ri,Li,Ri\u226410^6，max{ri\u200b\u2212li\u200b}\u2264min{Ri\u200b\u2212Li\u200b}.<\/p>\n
\/\/ \u806a\u660e\u7684\u4f60，\u4e00\u5b9a\u7528\u7684\u66b4\u529b，\u806a\u660e\u7684\u4f60，\u4e00\u5b9a\u8d85\u65f6o(*￣\u25bd￣*)\u30d6\u00a0 \/\/ \u672c\u9898，\u7528\u5dee\u5206+\u524d\u7f00\u548c，\u5c31\u80fd\u975e\u5e38\u5b8c\u7f8e\u7684\u89e3\u51b3\u95ee\u9898 \/\/ \u6b64\u5916，\u672c\u9898\u9884\u5904\u7406\u5316\u7684\u65f6\u5019，\u4e00\u5b9a\u8981\u770b\u6e05\u695a！ \/\/ \u4e0d\u8981\u5904\u7406\u62102e5+5\u4e86，\u8981\u5f00r\u3001l\u3001R\u3001L\u3002\u800c\u4e0d\u662fn,m;<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\nconst int N = 2e6+5;
\nusing namespace std;<\/p>\n
int main()
\n{
\n int n,m;
\n cin>>n>>m;
\n vector<int> res(N,0);
\n for(int i=0,r,l; i<n; ++i) cin>>l>>r,res[r+l]++;
\n for(int i=1; i<N; ++i) res[i]+=res[i-1];
\n for(int i=1,L,R; i<=m; ++i){
\n cin>>L>>R;
\n L*=2,R*=2;
\n if(L==0) cout<<res[R]<<endl;
\n else cout<<res[R]-res[L-1]<<endl;
\n }
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.Scanner;<\/p>\n
public class SegmentQuery {
\n public static void main(String[] args) {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N，\u7528\u4e8e\u6570\u7ec4\u5927\u5c0f
\n final int N = 2000005;
\n Scanner scanner = new Scanner(System.in);
\n \/\/ \u8bfb\u53d6 n \u548c m \u7684\u503c
\n int n = scanner.nextInt();
\n int m = scanner.nextInt();
\n \/\/ \u521b\u5efa\u957f\u5ea6\u4e3a N \u7684\u6570\u7ec4 res \u5e76\u521d\u59cb\u5316\u4e3a 0
\n int[] res = new int[N];
\n \/\/ \u8bfb\u53d6 n \u6761\u7ebf\u6bb5\u7684\u5de6\u53f3\u7aef\u70b9\u4fe1\u606f
\n for (int i = 0; i < n; i++) {
\n int l = scanner.nextInt();
\n int r = scanner.nextInt();
\n \/\/ \u5bf9\u7ebf\u6bb5\u4e2d\u70b9\u5bf9\u5e94\u7684\u6570\u7ec4\u5143\u7d20\u52a0 1
\n res[l + r]++;
\n }
\n \/\/ \u6784\u5efa\u524d\u7f00\u548c\u6570\u7ec4
\n for (int i = 1; i < N; i++) {
\n res[i] += res[i – 1];
\n }
\n \/\/ \u5904\u7406 m \u4e2a\u67e5\u8be2\u533a\u95f4
\n for (int i = 1; i <= m; i++) {
\n int L = scanner.nextInt();
\n int R = scanner.nextInt();
\n \/\/ \u5c06\u67e5\u8be2\u533a\u95f4\u7684\u5de6\u53f3\u7aef\u70b9\u4e58\u4ee5 2
\n L *= 2;
\n R *= 2;
\n int result;
\n \/\/ \u5904\u7406\u5de6\u7aef\u70b9\u4e3a 0 \u7684\u8fb9\u754c\u60c5\u51b5
\n if (L == 0) {
\n result = res[R];
\n } else {
\n result = res[R] – res[L – 1];
\n }
\n \/\/ \u8f93\u51fa\u7ed3\u679c
\n System.out.println(result);
\n }
\n scanner.close();
\n }
\n} <\/p>\n
\u540e\u9762\u7684\u4e24\u9053\u9898，\u54b1\u65f6\u95f4\u6709\u9650，\u5c31\u5148\u8df3\u8fc7\u5566(～￣\u25bd￣)～<\/p>\n
\u7b49\u540e\u7eed\u6253\u56fd\u8d5b\u65f6，\u5728\u62d0\u56de\u6765\u5199\u5199\u3002<\/p>\n
\u5f53\u7136\u5927\u5bb6\u6709\u597d\u7684\u4ee3\u7801\u3001\u89e3\u6790，\u4e5f\u53ef\u4ee5\u53d1\u7ed9\u6211，\u8ba9\u6211\u7785\u7785\u3002( \u2022\u0300 \u03c9 \u2022\u0301 )\u2727，\u6211\u8d34\u4e0a\u53bb\u3002<\/p>\n<\/p>\n
\u77e5\u8bc6\u70b9：<\/span><\/h4>\n\u4e00\u3001\u5411\u91cf\u3001\u70b9\u4e58\u3001\u53c9\u4e58<\/span><\/h5>\n（AI\u6574\u7406）<\/span><\/p>\n1\u3001\u5411\u91cf：<\/span><\/h6>\n\u7531\u6765：<\/span><\/h6>\n\u65e9\u5728\u53e4\u5e0c\u814a\u65f6\u671f，\u6570\u5b66\u5bb6\u4e0e\u7269\u7406\u5b66\u5bb6\u5df2\u7ecf\u610f\u8bc6\u5230\u67d0\u4e9b\u91cf（\u5982\u529b\u3001\u901f\u5ea6）\u517c\u5177\u5927\u5c0f\u548c\u65b9\u5411\u3002\u6b64\u65f6 \u5df2\u7ecf\u8574\u542b\u4e86\u5411\u91cf，\u4f46\u6b64\u65f6\u5e76\u672a\u5f62\u6210\u660e\u786e\u7684\u6982\u5ff5\u4e0e\u7406\u8bba\u3002<\/p>\n
17\u4e16\u7eaa\u7b1b\u5361\u5c14\u521b\u5efa\u89e3\u6790\u51e0\u4f55\u540e，\u70b9\u7684\u4f4d\u7f6e\u53ef\u7528\u5750\u6807\u6765\u8868\u793a，\u7ebf\u6bb5\u7684\u957f\u5ea6\u548c\u65b9\u5411\u53ef\u901a\u8fc7\u5750\u6807\u5dee\u91cf\u5316\u3002 \u8fd9\u4e3a\u5411\u91cf\u7684\u4ee3\u6570\u8868\u8fbe，\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/p>\n
\u540e\u6765\u7ecf\u8fc7\u8d1f\u6570\u3001\u56db\u5143\u6570\u7684\u542f\u53d1\u3001\u7ebf\u6027\u6269\u5f20\u8bba…\u7b49\u51e0\u4ee3\u4eba\u52aa\u529b\u4e0e\u77e5\u8bc6\u7684\u8fed\u4ee3，\u5411\u91cf\u624d\u6700\u7ec8\u522b\u786e\u5b9a\u4e0b\u6765\u3002<\/p>\n
\u5b9a\u4e49：<\/span><\/h6>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8b666ef.png\")
\u200b<\/p>\n
\u57fa\u672c\u5c5e\u6027：<\/span><\/h6>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8b7477c.png\")
\u200b<\/p>\n
\u5e38\u89c1\u8fd0\u7b97：<\/span><\/h6>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8b82b7b.png\")
\u200b<\/p>\n
2\u3001\u70b9\u4e58：<\/span><\/h6>\n\u4e0d\u8981\u95ee，\u4e3a\u5565\u53eb\u70b9\u4e58，\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u53ef\u7231\u7684\u95ee\u9898 –> \u56e0\u4e3a\u4e24\u5411\u91cf\u4e4b\u95f4\u7528 \u201c\u70b9\u53f7\u201d \u76f8\u4e58\u3002<\/p>\n
\u5b9a\u4e49：<\/span><\/h6>\n\u4e24\u5411\u91cf\u4e4b\u95f4\u76f8\u4e58，\u7ed3\u679c\u4e3a\u6807\u91cf\u3002<\/p>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8b9355f.png\")
\u200b<\/p>\n
\u5e94\u7528：<\/span><\/h6>\n\n- \u5224\u65ad\u4e24\u6761\u8fb9\u4e4b\u95f4，\u662f\u949d\u89d2（\u8d1f\u6570）\u3001\u76f4\u89d2（0）\u3001\u8fd8\u662f\u9510\u89d2（\u6b63\u6570）<\/li>\n
- \u4e00\u6761\u8fb9\u5728\u53e6\u4e00\u6761\u8fb9\u4e0a\u6620\u5c04\u7684\u957f\u5ea6\u3002<\/li>\n
- \u8ba1\u7b97\u529b\u7684\u505a\u529f\u3002<\/li>\n<\/ul>\n
3\u3001\u53c9\u4e58：<\/span><\/h6>\n\u4e5f\u4e0d\u8981\u95ee，\u4e3a\u5565\u53eb\u53c9\u4e58，\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u53ef\u7231\u7684\u95ee\u9898 –> \u56e0\u4e3a\u4e24\u5411\u91cf\u4e4b\u95f4\u7528 \u201c\u53c9\u53f7\u201d \u76f8\u4e58\u3002<\/p>\n
\u4e8c\u7ef4：<\/span><\/h6>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8ba1012.png\")
\u200b<\/p>\n
\u4e09\u7ef4：<\/span><\/h6>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8bc232a.png\")
\u200b\u5e94\u7528：<\/span><\/h6>\n\u5207\u8bb0，\u5224\u65ad\u70b9\u65f6，\u53c9\u4e58\u8fb9\u7684\u65b9\u5411\u5f88\u91cd\u8981\u3002\u70b9\u7684\u90a3\u6761\u8fb9，\u653e\u5728\u7b2c\u4e8c\u4e2a\u3002<\/span><\/p>\n\u6c42\u5e73\u884c\u56db\u8fb9\u5f62\u4e0e\u4e09\u89d2\u5f62\u7684\u9762\u79ef：<\/p>\n
\u4e8c\u7ef4 \u4e24\u5411\u91cf\u53c9\u4e58，\u6c42\u7684\u662f\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u9762\u79ef\u3002\u9664\u4e8e2，\u6c42\u7684\u662f\u4e09\u89d2\u5f62\u3002<\/p>\n
\u70b9\u4e0e\u76f4\u7ebf\u7684\u5173\u7cfb：<\/p>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115451-68023d8be4243.png\")
\u200b<\/p>\n
\u7ebf\u6bb5\u76f8\u4ea4\u7684\u68c0\u6d4b：<\/p>\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115452-68023d8c08bf1.png\")
\u200b<\/p>\n
\u70b9\u4e0e\u76f4\u7ebf\u5173\u7cfb，\u8be6\u89e3！！![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115452-68023d8c1ab1d.png\")
\u200b<\/p>\n<\/p>\n
\u4e8c\u3001\u6d6e\u70b9\u6570\u6bd4\u8f83<\/span><\/h4>\n\u5728\u7f16\u7a0b\u4e2d，\u901a\u5e38\u4e0d\u7528==\u53f7，\u6765\u8fdb\u884c\u6d6e\u70b9\u6570\u6bd4\u8f83\u3002\u56e0\u4e3a\u4f1a\u51fa\u73b0\u7cbe\u5ea6\u8bef\u5dee\u3002\u5373\u4fbf\u5728\u6570\u5b66\u4e2d\u76f8\u7b49，\u5728\u8ba1\u7b97\u673a\u4e2d\u4e5f\u4e0d\u4e00\u5b9a\u76f8\u7b49\u3002<\/p>\n
abs(a-b)<1e-6 <\/p>\n
\u901a\u5e38\u7528\u5c0f\u4e8e1e-6\u6765\u6d4b\u8bd5\u5dee\u503c\u3002<\/p>\n
1e-6\u5728\u901a\u5e38\u60c5\u51b5\u4e0b\u662f\u591f\u7528\u7684， \u5b83\u65e2\u4e0d\u662f\u90a3\u4e48\u4e25\u683c（\u628a\u672c\u5e94\u8be5\u76f8\u540c\u7684\u6570，\u5224\u4e3a\u4e0d\u540c） \u5b83\u4e5f\u4e0d\u662f\u90a3\u4e48\u5bbd\u677e（\u628a\u672c\u4e0d\u540c\u7684\u6570，\u5224\u4e3a\u76f8\u540c）<\/p>\n<\/p>\n
\u4e09\u3001map\u4e0eunordered_map<\/span><\/h4>\nmap\u5e95\u5c42\u4e3a\u7ea2\u9ed1\u6811，unordered_map\u5e95\u5c42\u4e3a\u54c8\u5e0c\u8868<\/p>\n
\u5b58or\u53d6，map(O(logN))\u7684\u6548\u7387\u7686\u4f4e\u4e8eunordered_map(O(1))\u3002<\/p>\n<\/p>\n
\u56db\u3001\u6781\u5927\u503c（32\u4f4d\u300164\u4f4d\u300116\u8fdb\u5236）<\/span><\/h4>\n\n- INT32_MAX\u00a0\u662f 32 \u4f4d\u6709\u7b26\u53f7\u6574\u6570\u7684\u6700\u5927\u503c，\u4e3a\u00a02,147,483,647\u3002（2.15 \u00d7 10\u2079）<\/li>\n
- 0x3f3f3f3f3f3f3f3f：\u8f6c\u6362\u4e3a\u5341\u8fdb\u5236\u4e3a：1,082,367,756,170,655,743\u3002（\u7ea6 1.08 \u00d7 10\u00b9\u2078）<\/li>\n
- INT64_MAX：\u7ea6 9.22 \u00d7 10\u00b9\u2078\u3002<\/li>\n<\/ul>\n
INT32_MAX\u662f32\u4f4d，\u6807\u51c6\u6700\u5927\u503c\u3002 INT64_MAX\u662f64\u4f4d\u4e0b，\u6807\u51c6\u6700\u5927\u503c\u3002 0x3f3f3f3f3f3f3f3f，\u5e38\u5e38\u88ab\u5f52\u7eb3\u4e8e\u201c\u4f2a\u6700\u5927\u503c\u201d，\u5b83\u5373\u8d77\u5230\u6700\u5927\u503c\u7684\u4f5c\u7528，\u53c8\u80fd\u9002\u5f53\u7684\u76f8\u52a0\u3002\u5728\u56fe\u3001\u6811\u4e2d，\u5e38\u88ab\u8d4b\u4e88\u6743\u503c，\u8868\u793a\u4e0d\u53ef\u62b5\u8fbe\u7684\u70b9\u3002<\/p>\n<\/p>\n
\u4e94\u3001\u5e7f\u641c(BFS)\u4e0e\u6df1\u641c(DFS)<\/span><\/h4>\n\u5e7f\u641c：<\/h5>\n
（\u961f\u5217）<\/p>\n
\n- \u6700\u77ed\u8def\u5f84\u95ee\u9898，\u5e38\u7528\u4e8e\u5224\u65ad\u6700\u77ed\u8def\u5f84\u95ee\u9898\u3002<\/li>\n
- \u56fe\u6216\u6811\u7684\u5c42\u5e8f\u904d\u5386\u95ee\u9898\u3002<\/li>\n
- \u5224\u65ad\u8fde\u901a\u6027\u3002<\/li>\n<\/ul>\n
\u6df1\u641c：<\/h5>\n
（\u9012\u5f52\u3001\u6808）<\/p>\n
\n- \u8def\u5f84\u95ee\u9898，\u5bfb\u627e\u67d0\u4e00\u4e2a\u70b9\u5230\u53e6\u4e00\u4e2a\u70b9\u7684\u8def\u5f84，\u53ef\u80fd\u4e0d\u662f\u6700\u77ed\u8def\u5f84\u3002<\/li>\n
- \u56de\u6eaf\u95ee\u9898，\u53ef\u7528\u4e8e\u67d0\u4e9b\u9700\u8981\u8bd5\u9519\u7684\u7b97\u6cd5（\u89e3\u6570\u72ec\u3001\u516b\u7687\u540e）<\/li>\n
- \u6c42\u89e3\u7ec4\u5408\u95ee\u9898（\u5168\u6392\u5217\u3001\u7ec4\u5408\u7b49\u95ee\u9898）DFS\u53ef\u4ee5\u904d\u5386\u6240\u6709\u6709\u89e3\u7a7a\u95f4\u3002<\/li>\n
- \u62d3\u6251\u6392\u5e8f，\u6682\u65f6\u8fd8\u4e0d\u719f\u6089<\/li>\n<\/ul>\n
\u516d\u3001vector\u7684\u6bd4\u8f83\u65b9\u6848-map<\/span><\/h4>\n\u5728C++\u4e2d，\u4e24\u4e2avector\u6bd4\u8f83，\u662f\u901a\u8fc7operate==，\u8fdb\u884c\u6bd4\u8f83\u7684\u3002<\/p>\n
\u5148\u6bd4\u8f83\u6570\u7ec4\u5927\u5c0f，\u5728\u4f9d\u6b21\u3001\u9010\u4e2a\u6bd4\u8f83\u5177\u4f53\u5185\u5bb9\u3002<\/p>\n
map\u53ef\u4ee5\u4ee5vector\u4e3a\u952e<\/h5>\n
std::map \u57fa\u4e8e\u7ea2\u9ed1\u6811（\u4e00\u79cd\u81ea\u5e73\u8861\u7684\u4e8c\u53c9\u641c\u7d22\u6811）\u3002\u4f1a\u901a\u8fc7\u6392\u5e8f\u786e\u5b9a\u4f4d\u7f6e\u3002（operate<）<\/p>\n
\u4e14vector\u5df2\u7ecf\u91cd\u8f7d\u8fc7(operate <) \u4e86，\u6bd4\u8f83\u65f6，\u81ea\u52a8\u6309\u7167\u5b57\u5178\u5e8f\u6bd4\u8f83\u3002<\/p>\n
unordered_map\u4e0d\u53ef\u4ee5\u4ee5vector\u4e3a\u952e<\/h5>\n
\u952e\u7684\u8981\u6c42\u662f<\/p>\n
1\u3001\u80fd\u6ee1\u8db3 \u54c8\u5e0c\u51fd\u6570 \u8f6c\u5316\u4e3a \u54c8\u5e0c\u503c\u3002<\/p>\n
2\u3001\u80fd\u901a\u8fc7operate== \u8fdb\u884c\u6bd4\u8f83<\/p>\n
\u867d\u7136vector\u4e2d\u5b9a\u4e49\u4e86operate==，\u4f46\u662f\u6ca1\u6709\u5b9a\u4e49，\u54c8\u5e0c\u51fd\u6570\u3002<\/p>\n
（\u603b\u7ed3：map\u90fd\u5177\u5907，unordered_map\u4e0d\u80fd\u5c06vector\u8f6c\u5316\u4e3a\u54c8\u5e0c\u51fd\u6570）<\/p>\n
\n\u501f\u9274\u89c6\u9891\u3001\u535a\u5ba2：<\/p>\n
1\u3001[\u7b97\u6cd5]\u8f7b\u677e\u638c\u63e1tarjan\u5f3a\u8fde\u901a\u5206\u91cf\u00a0– \u56fe<\/p>\n
\n","protected":false},"excerpt":{"rendered":"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb1.7w\u6b21\uff0c\u70b9\u8d5e235\u6b21\uff0c\u6536\u85cf421\u6b21\u3002\u8bb0\u5f55\u5237\u9898\u7684\u8fc7\u7a0b\u3001\u611f\u609f\u3001\u9898\u89e3\u3002\u200b\u200b\u200b\u200b\u200b\u200b\u200b\u5e0c\u671b\u80fd\u5e2e\u5230\uff0c\u90a3\u4e9b\u4e0e\u6211\u4e00\u540c\u524d\u884c\u7684\uff0c\u6765\u81ea\u8fdc\u65b9\u7684\u670b\u53cb\ud83d\ude09_2023\u5e74\u84dd\u6865\u676f\u771f\u9898c\u8bed\u8a00b\u7ec4<\/p>\n","protected":false},"author":2,"featured_media":12768,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[55,174,99,427,729],"topic":[],"class_list":{"0":"post-12779","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","6":"hentry","7":"category-server","8":"tag-c","10":"tag-java","11":"tag-427","12":"tag-729"},"yoast_head":"\n
2023\u7b2c\u5341\u56db\u5c4a\u84dd\u6865\u676f\u5927\u8d5b\u8f6f\u4ef6\u8d5b\u56fd\u8d5bC\/C++ \u5927\u5b66 B \u7ec4(\u771f\u9898&\u9898\u89e3)\uff08C++\/Java\u9898\u89e3\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/12779.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2023\u7b2c\u5341\u56db\u5c4a\u84dd\u6865\u676f\u5927\u8d5b\u8f6f\u4ef6\u8d5b\u56fd\u8d5bC\/C++ \u5927\u5b66 B \u7ec4(\u771f\u9898&\u9898\u89e3)\uff08C++\/Java\u9898\u89e3\uff09 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb1.7w\u6b21\uff0c\u70b9\u8d5e235\u6b21\uff0c\u6536\u85cf421\u6b21\u3002\u8bb0\u5f55\u5237\u9898\u7684\u8fc7\u7a0b\u3001\u611f\u609f\u3001\u9898\u89e3\u3002\u200b\u200b\u200b\u200b\u200b\u200b\u200b\u5e0c\u671b\u80fd\u5e2e\u5230\uff0c\u90a3\u4e9b\u4e0e\u6211\u4e00\u540c\u524d\u884c\u7684\uff0c\u6765\u81ea\u8fdc\u65b9\u7684\u670b\u53cb\ud83d\ude09_2023\u5e74\u84dd\u6865\u676f\u771f\u9898c\u8bed\u8a00b\u7ec4\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/12779.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2025-04-18T11:54:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418115450-68023d8af0fa6.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"19 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/12779.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/12779.html\",\"name\":\"2023\u7b2c\u5341\u56db\u5c4a\u84dd\u6865\u676f\u5927\u8d5b\u8f6f\u4ef6\u8d5b\u56fd\u8d5bC\/C++ \u5927\u5b66 B \u7ec4(\u771f\u9898&\u9898\u89e3)\uff08C++\/Java\u9898\u89e3\uff09 - 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\u672c\u9898\u89e3\u6cd5，\u8bf4\u6210\u662f\u72b6\u6001\u89c4\u5212，\u53ef\u80fd\u4f1a\u5f15\u8d77\u6050\u60e7，\u5176\u5b9e\u5b83\u5c31\u662f\u4e00\u9053\u7b80\u5355\u7684\u72b6\u6001\u63a8\u5bfc\u9898( \u2022\u0300 \u03c9 \u2022\u0301 )\u2727<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\nusing namespace std;
\n\/\/ \u662f\u4e2a\u7b80\u5355\u7684\u52a8\u6001\u89c4\u5212\u5c31\u7b97\u4e86
\n\/\/ \u600e\u4e48\u53c8\u662f\u4e00\u9053\u8d8a\u754c\u9898\u76ee
\n\/\/ \u4ee5\u540e\u7edf\u4e00\u4e0d\u7528long long\u6539\u7528 unsigned long long\u3002\u66f4\u5927\u3002
\nint main(){
\n vector<unsigned long long> dp(4,0);
\n string str="";
\n for(int i=1; i<=2023; ++i) str+=to_string(i);
\n \/\/ \u672c\u9898\u7684\u89e3\u6cd5\u662f\u52a8\u6001\u89c4\u5212
\n for(char c : str){
\n if(c=='2'){
\n dp[0]++;
\n dp[2]+=dp[1];
\n }
\n if(c=='0') dp[1]+=dp[0];
\n if(c=='3') dp[3]+=dp[2];
\n }
\n cout<<dp[3]<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
public class DpProblem {
\n public static void main(String[] args) {
\n \/\/ \u521b\u5efa\u4e00\u4e2a\u957f\u5ea6\u4e3a 4 \u7684 long \u7c7b\u578b\u6570\u7ec4 dp \u5e76\u521d\u59cb\u5316\u4e3a 0
\n long[] dp = new long[4];<\/p>\n
\/\/ \u62fc\u63a5\u5b57\u7b26\u4e32
\n StringBuilder str = new StringBuilder();
\n for (int i = 1; i <= 2023; i++) {
\n str.append(i);
\n }<\/p>\n
\/\/ \u52a8\u6001\u89c4\u5212\u8fc7\u7a0b
\n for (int i = 0; i < str.length(); i++) {
\n char c = str.charAt(i);
\n if (c == '2') {
\n dp[0]++;
\n dp[2] += dp[1];
\n }
\n if (c == '0') {
\n dp[1] += dp[0];
\n }
\n if (c == '3') {
\n dp[3] += dp[2];
\n }
\n }<\/p>\n
\/\/ \u8f93\u51fa\u7ed3\u679c
\n System.out.println(dp[3]);
\n }
\n} <\/p>\n
\u4e8c\u3001\u53cc\u5b50\u6570<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u82e5\u4e00\u4e2a\u6b63\u6574\u6570\u00a0x\u00a0\u53ef\u4ee5\u88ab\u8868\u793a\u4e3a\u00a0p2\u00d7q2，\u5176\u4e2d\u00a0p\u3001q\u00a0\u4e3a\u8d28\u6570\u4e14\u00a0p\u2260q，\u5219\u00a0x\u00a0\u662f\u4e00\u4e2a\u53cc\u5b50\u6570\u3002\u8bf7\u8ba1\u7b97\u533a\u95f4\u00a0[2333,\u202d23333333333333\u202c] \u5185\u6709\u591a\u5c11\u4e2a\u53cc\u5b50\u6570？<\/p>\n
\u7b54\u6848\u63d0\u4ea4<\/p>\n
\u8fd9\u662f\u4e00\u9053\u7ed3\u679c\u586b\u7a7a\u7684\u9898，\u4f60\u53ea\u9700\u8981\u7b97\u51fa\u7ed3\u679c\u540e\u63d0\u4ea4\u5373\u53ef\u3002\u672c\u9898\u7684\u7ed3\u679c\u4e3a\u4e00\u4e2a\u6574\u6570，\u5728\u63d0\u4ea4\u7b54\u6848\u65f6\u53ea\u586b\u5199\u8fd9\u4e2a\u6574\u6570，\u586b\u5199\u591a\u4f59\u7684\u5185\u5bb9\u5c06\u65e0\u6cd5\u5f97\u5206\u3002<\/p>\n
\/\/ \u6211\u672c\u4ee5\u4e3a，\u672c\u9898\u6700\u96be\u7684\u662f\u6b27\u62c9\u7b5b，\u4e5f\u5c31\u662f\u7ebf\u6027\u7b5b \/\/ \u540e\u6765\u6211\u53d1\u73b0，\u6211\u9519\u4e86，\u800c\u4e14\u9519\u7684\u79bb\u8c31 \/\/ \u6b27\u62c9\u7b5b，\u80fd\u7528\u57c3\u6c0f\u7b5b\u4ee3\u66ff，\u80fd\u7528\u6734\u7d20\u4e5f\u5c31\u662f\u66b4\u529b\u6cd5\u4ee3\u66ff\u3002 \/\/ \u800c\u672c\u9898\u6700\u5927\u7684\u96be\u70b9\u662f\u7b26\u53f7\u4f4d，\u5982\u679c\u4f60\u5f00\u5230(long long)，\u7b54\u6848\u4f1a\u59cb\u7ec8\u591a10，\u8ba9\u4f60\u75db\u4e0d\u6b32\u751f\u3002 \/\/ \u672c\u9898\u8981\u5f00\u5230，unsigned long long \/\/ int->1e9 , long long->1e18, unsigned long long\u662flonglong\u7684\u4e24\u500d<\/p>\n
\/\/ \u5207\u8bb0，\u4e0d\u4f1a\u6b27\u62c9\u7b5b\u7684，\u53ef\u4ee5\u7528\u7ebf\u6027\u7b5b\u4ee3\u66ff，\u6216\u8005\u76f4\u63a5\u66b4\u529b（\u4f1a\u6162\u4e00\u4e9b）:: \u56db\u79cd\u7b5b\u6cd5 ::<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\n#define ll long long
\nusing namespace std;<\/p>\n
const int N = 1e7 + 10;
\nvector<bool> vec(N, true); \/\/ \u5047\u8bbe\u90fd\u662f\u8d28\u6570
\nvector<ll> res;
\nvoid sieve(){ \/\/ \u6b27\u62c9\u7b5b
\n vec[0]=vec[1]= false;
\n for(int i=2; i<vec.size(); ++i){
\n if(vec[i]) res.push_back((ll)i);
\n for(ll num:res){
\n if(num*i>vec.size()) break; \/\/ \u8d85\u51fa\u6700\u5927\u8303\u56f4
\n vec[i*num] = false;
\n if(i%num==0) break; \/\/ \u786e\u4fdd\u6bcf\u4e2a\u5408\u6570，\u53ea\u88ab\u6700\u5c0f\u56e0\u5b50\u9664\u53bb\u3002
\n }
\n }
\n}
\n\/\/\u5929\u5450，\u4f60\u8981\u8fd9\u6837\u73a9？\u8fd8\u548b\u73a9？？
\nint main(){
\n sieve();
\n ll num = 0;
\n for(ll i=0;i<res.size();i++){
\n unsigned ll pp = res[i]*res[i];
\n if(pp * pp >23333333333333) break;\/\/\u4e00\u70b9\u5c0f\u4f18\u5316
\n for(ll j=i+1;j<res.size();j++){
\n ll qq = res[j]*res[j];
\n if(pp*qq>23333333333333) break;
\n if(pp*qq<2333) continue;
\n num++;
\n }
\n }
\n cout<<num<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.math.BigInteger;
\nimport java.util.ArrayList;
\nimport java.util.List;<\/p>\n
public class PrimeNumberCombination {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N，\u7528\u4e8e\u7b5b\u6cd5\u8303\u56f4
\n static final int N = 10000010;
\n \/\/ \u6807\u8bb0\u6bcf\u4e2a\u6570\u662f\u5426\u4e3a\u8d28\u6570\u7684\u5e03\u5c14\u6570\u7ec4
\n static boolean[] isPrime = new boolean[N];
\n \/\/ \u5b58\u50a8\u8d28\u6570\u7684\u5217\u8868
\n static List<Integer> primes = new ArrayList<>();<\/p>\n
\/\/ \u6b27\u62c9\u7b5b\u51fd\u6570，\u7b5b\u9009\u51fa\u6240\u6709\u8d28\u6570
\n public static void sieve() {
\n \/\/ \u521d\u59cb\u5316\u6240\u6709\u6570\u4e3a\u8d28\u6570
\n for (int i = 0; i < N; i++) {
\n isPrime[i] = true;
\n }
\n \/\/ 0 \u548c 1 \u4e0d\u662f\u8d28\u6570
\n isPrime[0] = isPrime[1] = false;
\n for (int i = 2; i < N; i++) {
\n if (isPrime[i]) {
\n primes.add(i);
\n }
\n for (int prime : primes) {
\n if (prime * i >= N) {
\n break;
\n }
\n isPrime[prime * i] = false;
\n if (i % prime == 0) {
\n break;
\n }
\n }
\n }
\n }<\/p>\n
public static void main(String[] args) {
\n \/\/ \u8c03\u7528\u6b27\u62c9\u7b5b\u51fd\u6570
\n sieve();
\n BigInteger limit1 = BigInteger.valueOf(23333333333333L);
\n BigInteger limit2 = BigInteger.valueOf(2333L);
\n long num = 0;
\n for (int i = 0; i < primes.size(); i++) {
\n BigInteger pp = BigInteger.valueOf(primes.get(i)).pow(2);
\n if (pp.pow(2).compareTo(limit1) > 0) {
\n break;
\n }
\n for (int j = i + 1; j < primes.size(); j++) {
\n BigInteger qq = BigInteger.valueOf(primes.get(j)).pow(2);
\n BigInteger product = pp.multiply(qq);
\n if (product.compareTo(limit1) > 0) {
\n break;
\n }
\n if (product.compareTo(limit2) < 0) {
\n continue;
\n }
\n num++;
\n }
\n }
\n \/\/ \u8f93\u51fa\u6ee1\u8db3\u6761\u4ef6\u7684\u7ec4\u5408\u6570\u91cf
\n System.out.println(num);
\n }
\n} <\/p>\n
\u4e09\u3001\u73ed\u7ea7\u6d3b\u52a8<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u7684\u8001\u5e08\u51c6\u5907\u7ec4\u7ec7\u4e00\u6b21\u73ed\u7ea7\u6d3b\u52a8\u3002\u73ed\u4e0a\u4e00\u5171\u6709\u00a0n\u00a0\u540d (n\u00a0\u4e3a\u5076\u6570) \u540c\u5b66，\u8001\u5e08\u60f3\u628a\u6240\u6709\u7684\u540c\u5b66\u8fdb\u884c\u5206\u7ec4，\u6bcf\u4e24\u540d\u540c\u5b66\u4e00\u7ec4\u3002\u4e3a\u4e86\u516c\u5e73，\u8001\u5e08\u7ed9\u6bcf\u540d\u540c\u5b66\u968f\u673a\u5206\u914d\u4e86\u4e00\u4e2a\u00a0n\u00a0\u4ee5\u5185\u7684\u6b63\u6574\u6570\u4f5c\u4e3a\u00a0id，\u7b2c\u00a0i\u00a0\u540d\u540c\u5b66\u7684\u00a0id\u00a0\u4e3a\u00a0ai\u200b\u3002<\/p>\n
\u8001\u5e08\u5e0c\u671b\u901a\u8fc7\u66f4\u6539\u82e5\u5e72\u540d\u540c\u5b66\u7684\u00a0id\u00a0\u4f7f\u5f97\u5bf9\u4e8e\u4efb\u610f\u4e00\u540d\u540c\u5b66\u00a0i，\u6709\u4e14\u4ec5\u6709\u53e6\u4e00\u540d\u540c\u5b66\u00a0jj\u00a0\u7684\u00a0idid\u00a0\u4e0e\u5176\u76f8\u540c (ai=aj\u200b)\u3002\u8bf7\u95ee\u8001\u5e08\u6700\u5c11\u9700\u8981\u66f4\u6539\u591a\u5c11\u540d\u540c\u5b66\u7684\u00a0id？<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171\u00a02\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6b63\u6574\u6570\u00a0n\u3002<\/p>\n
\u7b2c\u4e8c\u884c\u4e3a\u00a0n\u00a0\u4e2a\u7531\u7a7a\u683c\u9694\u5f00\u7684\u6574\u6570\u00a0a1,a2,…,an\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a01\u00a0\u884c，\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
4
\n1 2 2 3<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
1<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u4ec5\u9700\u8981\u628a\u00a0a1\u200b\u00a0\u6539\u4e3a\u00a03\u00a0\u6216\u8005\u628a\u00a0a3\u200b\u00a0\u6539\u4e3a\u00a01\u00a0\u5373\u53ef\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e 20%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u226410^5<\/p>\n
\/\/ \u2686_\u2686？\u5f53\u6211\u627e\u5230\u54ea\u91cc\u9519\u4e86\u4e4b\u540e，\u6cea\u6d41\u6ee1\u9762 \/\/ \u672c\u9898\u5176\u5b9e\u633a\u7b80\u5355 \/\/ \u8bfb\u9898：\u201c\u6bcf\u540d\u540c\u5b66，\u968f\u673a\u5206\u914dn\u4ee5\u5185\u7684\u6b63\u6574\u6570\u4f5c\u4e3aid\u201d\u00a0 \/\/ \u8fd9\u8bf4\u660e，\u6bcf\u4e2a\u540c\u5b66\u7684id\u6709\u4e24\u79cd\u60c5\u51b5\u3002 \/\/ \u6b64\u65f6\u4e3e\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u5c31OK\u4e86 \/\/ \u50cf\u9898\u76ee\u4e2d\u4e3e\u5f97\u4f8b\u5b50，1 2 2 3 \u4e00\u7ec4（2,2）\u5c31\u80fd\u914d\u5bf9，\u4ec5\u9700\u66f4\u65393\u53d8\u62101（1->3\u4e5f\u884c）\u5c31OK\u4e86，\u53ea\u9700\u4e00\u6b21\u3002 \/\/ \u63a8\u7b97\u6210\u516c\u5f0f，\u4e5f\u5c31\u662f 2\/1=1 -> \u6563\u5217\u7684\u603b\u6570\/2 \/\/ \u8fdb\u9636\u4e00\u70b9，\u5f53id\u4e3a 2 2 2 1\u65f6，\u6b64\u65f6\u4e00\u7ec4（2,2）\u5c31\u80fd\u914d\u5bf9，\u8fd9\u65f6\u4ec5\u9700\u66f4\u6539\u5269\u4e0b\u76842\u53d8\u62101\u5c31OK\u4e86，\u4e5f\u53ea\u9700\u8981\u66f4\u6539\u4e00\u6b21\u3002 \/\/ \u5982\u679c\u662f 2 2 2 2 2 1 \u5462，\u8981\u5148\u53bb\u6389\u4e00\u7ec4（2,2） \/\/ \u6b64\u65f6\u5269\u4e0b 2 2 2 1，\u56e0\u4e3a\u4e0d\u80fd\u4e0e\u5df2\u7ecf\u914d\u5bf9\u7684（2,2）\u91cd\u590d， \/\/ \u6240\u4ee5\u5148\u628a\u5176\u4e2d\u4e00\u4e2a2\u6539\u4e3a1，\u9700\u8981\u4e00\u6b21\u3002 \/\/ \u6b64\u65f6\u5269\u4e0b 2 2，\u53ea\u9700\u5c06\u5b83\u4eec\u6539\u6210\u5176\u4ed6\u6570\u5c31\u884c，\u5982\u6539\u6210（3,3），\u9700\u8981\u4e24\u6b21\u3002 \/\/ \u4e00\u5171\u7528\u4e863\u6b21，\u4e5f\u5c31\u662f2\u7684\u603b\u6570 \u51cf\u53bb2 \u4e5f\u5c31\u662f\u51cf\u53bb（2,2）\u8fd9\u4e2a\u4e0d\u9700\u8981\u6539\u53d8\u7684\u7ec4\u5408\u3002 \/\/ \u4e5f\u5c31\u662f \u5f53\u5df2\u88ab\u5360\u7528\u7684id\u7684\u6570\u91cf，\u5927\u4e8e\u672a\u88ab\u5360\u7528id\u65f6，\u603b\u6570\u7b49\u4e8e \u91cd\u590d id\u7684\u6570\u91cf\u3002<\/p>\n
C++<\/h5>\n
#include <iostream>
\nconst int N = 1e5+5;
\nusing namespace std;
\nint arr[N]; <\/p>\n
int main()
\n{
\n int n;
\n cin>>n;
\n for(int i=0; i<n; ++i){
\n int num;
\n cin>>num;
\n arr[num]++;
\n }<\/p>\n
int num1=0, num2=0;<\/p>\n
for(int i : arr){
\n if(i>2) num1 += i-2; \/\/ \u6c42\u53d6\u6570\u91cf\u76f8\u540c\u7684\u6570\u5728\u51cf2；
\n else if(i==1) num2++;
\n }<\/p>\n
int sum = 0;
\n \/\/ \u5f53\u5df2\u88ab\u5360\u7528\u7684id\u7684\u6570\u91cf，\u5927\u4e8e\u672a\u88ab\u5360\u7528id\u65f6，\u90a3\u4e48sum = num1;
\n if(num1>num2){
\n sum = num1;
\n }else{ \/\/ num2<num1\u7684\u60c5\u51b5
\n sum = num2 + (num1-num2)\/2;
\n }
\n cout<<sum<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.Scanner;<\/p>\n
public class StudentIdAdjustment {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N，\u7528\u4e8e\u6570\u7ec4\u5927\u5c0f
\n static final int N = 100005;<\/p>\n
public static void main(String[] args) {
\n \/\/ \u521b\u5efa Scanner \u5bf9\u8c61\u7528\u4e8e\u8bfb\u53d6\u8f93\u5165
\n Scanner scanner = new Scanner(System.in);
\n \/\/ \u5b9a\u4e49\u4e00\u4e2a\u6570\u7ec4\u6765\u8bb0\u5f55\u6bcf\u4e2a ID \u51fa\u73b0\u7684\u6b21\u6570
\n int[] arr = new int[N];
\n \/\/ \u8bfb\u53d6\u5b66\u751f\u7684\u6570\u91cf
\n int n = scanner.nextInt();<\/p>\n
\/\/ \u5faa\u73af\u8bfb\u53d6\u6bcf\u4e2a\u5b66\u751f\u7684 ID，\u5e76\u7edf\u8ba1\u6bcf\u4e2a ID \u51fa\u73b0\u7684\u6b21\u6570
\n for (int i = 0; i < n; i++) {
\n int num = scanner.nextInt();
\n arr[num]++;
\n }<\/p>\n
\/\/ \u521d\u59cb\u5316\u4e24\u4e2a\u53d8\u91cf，\u7528\u4e8e\u7edf\u8ba1\u9700\u8981\u5904\u7406\u7684\u4e0d\u540c\u60c5\u51b5\u7684\u6570\u91cf
\n int num1 = 0;
\n int num2 = 0;<\/p>\n
\/\/ \u904d\u5386\u6570\u7ec4，\u7edf\u8ba1 num1 \u548c num2 \u7684\u503c
\n for (int i : arr) {
\n \/\/ \u5982\u679c\u67d0\u4e2a ID \u51fa\u73b0\u7684\u6b21\u6570\u5927\u4e8e 2，\u8ba1\u7b97\u8d85\u51fa 2 \u7684\u90e8\u5206\u5e76\u7d2f\u52a0\u5230 num1
\n if (i > 2) {
\n num1 += i – 2;
\n }
\n \/\/ \u5982\u679c\u67d0\u4e2a ID \u53ea\u51fa\u73b0\u4e86 1 \u6b21，\u5c06 num2 \u52a0 1
\n else if (i == 1) {
\n num2++;
\n }
\n }<\/p>\n
\/\/ \u521d\u59cb\u5316\u6700\u7ec8\u7ed3\u679c\u53d8\u91cf
\n int sum = 0;
\n \/\/ \u5f53 num1 \u5927\u4e8e num2 \u65f6，\u8bf4\u660e\u5df2\u88ab\u5360\u7528\u7684 ID \u6570\u91cf\u66f4\u591a，sum \u7b49\u4e8e num1
\n if (num1 > num2) {
\n sum = num1;
\n }
\n \/\/ \u5f53 num2 \u5927\u4e8e\u7b49\u4e8e num1 \u65f6，\u6309\u7167\u76f8\u5e94\u89c4\u5219\u8ba1\u7b97 sum
\n else {
\n sum = num2 + (num1 – num2) \/ 2;
\n }<\/p>\n
\/\/ \u8f93\u51fa\u6700\u7ec8\u7ed3\u679c
\n System.out.println(sum);
\n \/\/ \u5173\u95ed Scanner \u5bf9\u8c61，\u91ca\u653e\u8d44\u6e90
\n scanner.close();
\n }
\n} <\/p>\n
\u56db\u3001\u5408\u5e76\u6570\u5217<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u53d1\u73b0\u6709\u5f88\u591a\u65b9\u6848\u53ef\u4ee5\u628a\u4e00\u4e2a\u5f88\u5927\u7684\u6b63\u6574\u6570\u62c6\u6210\u82e5\u5e72\u6b63\u6574\u6570\u7684\u548c\u3002\u4ed6\u91c7\u53d6\u4e86\u5176\u4e2d\u4e24\u79cd\u65b9\u6848，\u5206\u522b\u5c06\u4ed6\u4eec\u5217\u4e3a\u4e24\u4e2a\u6570\u7ec4\u00a0{a1,a2,…,an}\u548c\u00a0{b1,b2,…,bm}\u3002\u4e24\u4e2a\u6570\u7ec4\u7684\u548c\u76f8\u540c\u3002<\/p>\n
\u5b9a\u4e49\u4e00\u6b21\u5408\u5e76\u64cd\u4f5c\u53ef\u4ee5\u5c06\u67d0\u6570\u7ec4\u5185\u76f8\u90bb\u7684\u4e24\u4e2a\u6570\u5408\u5e76\u4e3a\u4e00\u4e2a\u65b0\u6570，\u65b0\u6570\u7684\u503c\u662f\u539f\u6765\u4e24\u4e2a\u6570\u7684\u548c\u3002\u5c0f\u660e\u60f3\u901a\u8fc7\u82e5\u5e72\u6b21\u5408\u5e76\u64cd\u4f5c\u5c06\u4e24\u4e2a\u6570\u7ec4\u53d8\u6210\u4e00\u6a21\u4e00\u6837，\u5373\u00a0n=m \u4e14\u5bf9\u4e8e\u4efb\u610f\u4e0b\u6807\u00a0i\u00a0\u6ee1\u8db3\u00a0ai=bi\u3002\u8bf7\u8ba1\u7b97\u81f3\u5c11\u9700\u8981\u591a\u5c11\u6b21\u5408\u5e76\u64cd\u4f5c\u53ef\u4ee5\u5b8c\u6210\u5c0f\u660e\u7684\u76ee\u6807\u3002<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171\u00a03\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570\u00a0n,\u00a0m\u3002<\/p>\n
\u7b2c\u4e8c\u884c\u4e3a\u00a0n\u00a0\u4e2a\u7531\u7a7a\u683c\u9694\u5f00\u7684\u6574\u6570\u00a0a1,a2,…,an\u200b\u3002<\/p>\n
\u7b2c\u4e09\u884c\u4e3a\u00a0m\u00a0\u4e2a\u7531\u7a7a\u683c\u9694\u5f00\u7684\u6574\u6570\u00a0b1,b2,…,bm\u200b\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a01\u00a0\u884c，\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
4 3
\n1 2 3 4
\n1 5 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
1<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u53ea\u9700\u8981\u5c06\u00a0a2\u200b\u00a0\u548c\u00a0a3\u00a0\u5408\u5e76，\u6570\u7ec4\u00a0a\u00a0\u53d8\u4e3a\u00a0{1,5,4}，\u5373\u548c\u00a0b\u00a0\u76f8\u540c\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,\u00a0m\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,\u00a0m\u226410^5，0<ai,\u00a0bi\u226410^5\u3002<\/p>\n
\/\/ \u672c\u9898\u539f\u610f：\u201c\u4e24\u4e2a\u6570\u5217，\u901a\u8fc7\u4e0d\u65ad\u5408\u5e76\u76f8\u90bb\u7684\u4e24\u4e2a\u6570，\u4f7f\u4e24\u4e2a\u6570\u5217\u76f8\u540c\u201d \/\/ \u6ce8\u610f-\u201c\u76f8\u90bb\u201d \u201c\u5408\u5e76（\u76f8\u52a0）\u201d，\u4e5f\u5c31\u610f\u5473\u7740\u53ef\u80fd\u8981\u4f7f\u7528\u524d\u7f00\u548c\u3002 \/\/ \u7528\u53cd\u5411\u601d\u7ef4\u6765\u770b，\u4e24\u4e2a\u6570\u5217\u6700\u7ec8\u662f\u76f8\u540c\u7684\u3002 \/\/ \u4e5f\u5c31\u610f\u5473\u7740\u4ece\u4fe9\u6570\u5217，\u7b2c\u4e00\u4e2a\u6570\u5f00\u59cb，\u5c31\u8981\u662f\u76f8\u540c\u7684\u3002 \/\/ \u6211\u4eec\u53ea\u9700\u8981\u4ece\u5934\u5f00\u59cb\u8ba1\u7b97\u524d\u7f00\u548c，\u5982\u679c\u76f8\u540c\u65f6，\u4ee3\u8868\u4fe9\u6570\u5217\u7b2ci\u4f4d\u5df2\u7ecf\u76f8\u540c， \/\/ \u6b64\u65f6\u66f4\u65b0\u4fe9\u524d\u7f00\u548c\u7684\u8ba1\u7b97\u8d77\u59cb\u4f4d\u7f6e\u5373\u53ef\u3002 \/\/ \u6240\u4ee5\u672c\u9898\u662f，\u53cc\u6307\u9488\u4e0e\u524d\u7f00\u548c\u7684\u7ed3\u5408\u3002<\/p>\n
1 2 3 4
\n1 5 4
\n————
\n\u5bf9\u6bd4\u4e24\u4e2a\u6570\u5217\u7684\u7b2c\u4e00\u4f4d，\u76f8\u540c，\u4e0d\u7528\u53d8
\n————
\n3 3 4
\n6 4
\n\u7b2c\u4e00\u4f4d\u4e0d\u540c，\u5408\u5e76\u5c0f\u7684\u524d\u4e24\u4f4d
\n———-
\n6 4
\n6 4
\n…. <\/p>\n
\/\/ \u672c\u9898\u53c8\u8ba9\u6211\u75db\u54ed\u4e0d\u5df2，\u7c7b\u578b\u5f00\u5c0f\u4e86，\u672c\u9898\u6700\u5927\u67091e10\u5de6\u53f3，int\u4e0d\u592a\u884c<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\nusing namespace std;<\/p>\n
int main()
\n{
\n int n,m;
\n cin>>n>>m;
\n vector<int> a(n,0);
\n vector<int> b(m,0);
\n for(int i=0; i<n; ++i) cin>>a[i];
\n for(int i=0; i<m; ++i) cin>>b[i];
\n \/\/ sum_a a\u6570\u5217\u7684\u524d\u7f00\u548c
\n \/\/ sum_b b\u6570\u5217\u7684\u524d\u7f00\u548c
\n \/\/ cnt_a a\u7684\u4f4d\u6570
\n \/\/ cnt_b b\u7684\u4f4d\u6570
\n \/\/ cnt_sum \u603b\u5171\u9700\u8981\u7684\u6b21\u6570
\n long long sum_a=0,sum_b=0,cnt_a=0,cnt_b=0,cnt_sum=0;
\n while(true){
\n if(sum_a==sum_b){
\n sum_a+=a[cnt_a++];
\n sum_b+=b[cnt_b++];
\n }else if(sum_a<sum_b){ \/\/ \u7b2c\u4e00\u4e2a\u503c\u5c0f，\u9700\u8981\u5408\u5e76
\n sum_a+=a[cnt_a++];
\n cnt_sum++;
\n }else if(sum_b<sum_a){ \/\/ \u7b2c\u4e8c\u4e2a\u503c\u5c0f，\u9700\u8981\u5408\u5e76
\n sum_b+=b[cnt_b++];
\n cnt_sum++;
\n }
\n if(cnt_a==n&&cnt_b==m) break;
\n }
\n cout<<cnt_sum;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.Scanner;<\/p>\n
public class MergeArrays {
\n public static void main(String[] args) {
\n Scanner scanner = new Scanner(System.in);<\/p>\n
\/\/ \u8bfb\u53d6\u4e24\u4e2a\u6570\u7ec4\u7684\u957f\u5ea6
\n int n = scanner.nextInt();
\n int m = scanner.nextInt();<\/p>\n
\/\/ \u521d\u59cb\u5316\u4e24\u4e2a\u6570\u7ec4
\n int[] a = new int[n];
\n int[] b = new int[m];<\/p>\n
\/\/ \u8bfb\u53d6\u7b2c\u4e00\u4e2a\u6570\u7ec4\u7684\u5143\u7d20
\n for (int i = 0; i < n; i++) {
\n a[i] = scanner.nextInt();
\n }<\/p>\n
\/\/ \u8bfb\u53d6\u7b2c\u4e8c\u4e2a\u6570\u7ec4\u7684\u5143\u7d20
\n for (int i = 0; i < m; i++) {
\n b[i] = scanner.nextInt();
\n }<\/p>\n
\/\/ \u521d\u59cb\u5316\u524d\u7f00\u548c\u53d8\u91cf\u548c\u6307\u9488
\n long sum_a = 0, sum_b = 0; \/\/ \u4f7f\u7528long\u907f\u514d\u5927\u6570\u6ea2\u51fa
\n int cnt_a = 0, cnt_b = 0; \/\/ \u6570\u7ec4a\u548cb\u7684\u5f53\u524d\u6307\u9488\u4f4d\u7f6e
\n int cnt_sum = 0; \/\/ \u8bb0\u5f55\u5408\u5e76\u6b21\u6570<\/p>\n
\/\/ \u5faa\u73af\u5904\u7406\u76f4\u5230\u4e24\u4e2a\u6570\u7ec4\u90fd\u904d\u5386\u5b8c\u6bd5
\n while (true) {
\n \/\/ \u5f53\u4e24\u4e2a\u524d\u7f00\u548c\u76f8\u7b49\u65f6，\u79fb\u52a8\u5230\u4e0b\u4e00\u4e2a\u5143\u7d20
\n if (sum_a == sum_b) {
\n \/\/ \u6ce8\u610f\u8fb9\u754c\u6761\u4ef6：\u907f\u514d\u6570\u7ec4\u8d8a\u754c
\n if (cnt_a < n) {
\n sum_a += a[cnt_a++]; \/\/ \u79fb\u52a8a\u7684\u6307\u9488\u5e76\u7d2f\u52a0\u503c
\n }
\n if (cnt_b < m) {
\n sum_b += b[cnt_b++]; \/\/ \u79fb\u52a8b\u7684\u6307\u9488\u5e76\u7d2f\u52a0\u503c
\n }
\n } else if (sum_a < sum_b) {
\n \/\/ a\u7684\u524d\u7f00\u548c\u8f83\u5c0f，\u9700\u8981\u5408\u5e76\u4e0b\u4e00\u4e2a\u5143\u7d20
\n sum_a += a[cnt_a++]; \/\/ \u5408\u5e76a\u7684\u4e0b\u4e00\u4e2a\u5143\u7d20
\n cnt_sum++; \/\/ \u5408\u5e76\u6b21\u6570\u52a01
\n } else {
\n \/\/ b\u7684\u524d\u7f00\u548c\u8f83\u5c0f，\u9700\u8981\u5408\u5e76\u4e0b\u4e00\u4e2a\u5143\u7d20
\n sum_b += b[cnt_b++]; \/\/ \u5408\u5e76b\u7684\u4e0b\u4e00\u4e2a\u5143\u7d20
\n cnt_sum++; \/\/ \u5408\u5e76\u6b21\u6570\u52a01
\n }<\/p>\n
\/\/ \u68c0\u67e5\u662f\u5426\u5df2\u7ecf\u904d\u5386\u5b8c\u4e24\u4e2a\u6570\u7ec4\u7684\u6240\u6709\u5143\u7d20
\n if (cnt_a == n && cnt_b == m) {
\n break;
\n }
\n }<\/p>\n
\/\/ \u8f93\u51fa\u6700\u7ec8\u7684\u5408\u5e76\u6b21\u6570
\n System.out.println(cnt_sum);
\n scanner.close();
\n }
\n} <\/p>\n
\u4e94\u3001\u6570\u4e09\u89d2<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u5728\u4e8c\u7ef4\u5750\u6807\u7cfb\u4e2d\u653e\u7f6e\u4e86\u00a0n\u00a0\u4e2a\u70b9，\u4ed6\u60f3\u5728\u5176\u4e2d\u9009\u51fa\u4e00\u4e2a\u5305\u542b\u4e09\u4e2a\u70b9\u7684\u5b50\u96c6，\u8fd9\u4e09\u4e2a\u70b9\u80fd\u7ec4\u6210\u4e09\u89d2\u5f62\u3002\u7136\u800c\u8fd9\u6837\u7684\u65b9\u6848\u592a\u591a\u4e86，\u4ed6\u51b3\u5b9a\u53ea\u9009\u62e9\u90a3\u4e9b\u53ef\u4ee5\u7ec4\u6210\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u65b9\u6848\u3002\u8bf7\u5e2e\u4ed6\u8ba1\u7b97\u51fa\u4e00\u5171\u6709\u591a\u5c11\u79cd\u9009\u6cd5\u53ef\u4ee5\u7ec4\u6210\u7b49\u8170\u4e09\u89d2\u5f62？<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171\u00a0n+1 \u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e00\u4e2a\u6b63\u6574\u6570\u00a0n\u3002<\/p>\n
\u540e\u9762\u00a0n\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0xi,\u00a0yi\u8868\u793a\u7b2c\u00a0i\u00a0\u4e2a\u70b9\u7684\u5750\u6807\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171 1\u00a0\u884c，\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
5
\n1 1
\n4 1
\n1 0
\n2 1
\n1 2<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
4<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u4e00\u5171\u6709\u00a04\u00a0\u79cd\u9009\u6cd5:\u00a0{3,4,5}\u3001{1,3,4}\u3001{5,2,3}\u3001{1,4,5}\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u2264200\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n\u22642000，0\u2264xi,yi\u226410^9\u3002<\/p>\n
\/* \u00a0 \u672c\u9898\u8981\u662f\u76f4\u63a53\u5c42\u66b4\u529b，\u80af\u5b9a\u5bf9，\u4f46\u662f\u53ea\u80fd\u83b7\u53d660%\u7684\u5206！ \u00a0 \u6240\u4ee5\u8981\u7528\u4e0a\u5f88\u591a\u4f18\u5316\u65b9\u5f0f \u00a0 \u5982：\u6839\u636e\u534a\u5f84\u6c42\u89e3，\u53c9\u4e58(\u5728\u672c\u6587\u4e0b\u65b9\u6709\u8bb2\u89e3，\u4e5f\u53ef\u4e0a\u7f51\u641c)\u5224\u662f\u5426\u4e09\u70b9\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a \u00a0 \u901a\u8fc7vector<map<ll,vector<int>>> \u9884\u5904\u7406\u5206\u7ec4\u3002 \u00a0 \u6700\u540e\u7528unordered_map\u5b58\u50a8，O(1)<\/p>\n
\u00a0 \u5176\u5b9e\u6700\u5f00\u59cb，\u6211\u4e5f\u662f\u6709\u7591\u95ee\u7684，\u8fd9\u662f\u600e\u4e48\u5c06O(n^3)\u4f18\u5316\u5230\u63a5\u8fd1O(n^2) \u00a0 \u6bd5\u7adf\u9884\u5904\u7406\u5206\u7ec4\u540e\u4e0b\u65b9\u4ecd\u67094\u5c42\u5faa\u73af\u5462 \u00a0 \u5176\u5b9e\u753b\u4e2a\u56fe\u5c31\u597d\u4e86\u3002 \u00a0 \u6ca1\u4f18\u5316\u4e4b\u524d，\u6bcf\u4e2a\u8282\u70b9\u90fd\u8981\u5224\u65ad(n^2)\u6b21,\u4f18\u5316\u4e4b\u540e，\u6bcf\u4e2a\u8282\u70b9\u4ec5\u9700\u5224\u65ad\u5206\u7ec4\u8fc7\u540e\u7684\u5c31\u884c(\u54ea\u6015\u662f4\u5c42，\u5176\u5b9e\u6709\u6548\u7684\u70b9\u4e0d\u591a，\u53ef\u8fd1\u4f3c\u6210\u7ebf\u6027)\u3002 *\/<\/p>\n
\u00a0C++<\/h5>\n
#include <iostream>
\n#include <vector>
\n#include <unordered_map>
\nusing namespace std;<\/p>\n
#define ll long long \/\/ \u56e0\u4e3a\u4e0d\u53ef\u80fd\u51fa\u73b0\u8d1f\u6570，\u76f4\u63a5\u5f00\u5230\u6700\u5927(unsigned long long)
\nconst ll N = 2e3+5;<\/p>\n
struct point{
\n int x;
\n int y;
\n}p[N]; \/\/ \u5b9a\u4e49\u8282\u70b9-\u9884\u5904\u7406<\/p>\n
ll get_radius(int i, int j){ \/\/ \u534a\u5f84\u7684\u5e73\u65b9
\n return (p[i].x-p[j].x)*(p[i].x-p[j].x) + (p[i].y-p[j].y)*(p[i].y-p[j].y);
\n}<\/p>\n
bool is_parallel(int i, int j, int k){ \/\/ \u7528\u53c9\u4e58\u7684\u65b9\u6cd5，\u5feb\u901f\u5224\u65ad，\u8fd9\u4e00\u6b65\u4e0d\u4f1a\u7684，\u53ef\u4ee5\u4e0a\u7f51\u67e5\u8be2\u53c9\u4e58\u7684\u4f5c\u7528，\u4ee5\u53ca\u7528\u6cd5\u3002
\n ll v = (p[j].x-p[i].x)*(p[k].y-p[i].y)-(p[j].y-p[i].y)*(p[k].x-p[i].x); \/\/ i-j(p[j].x-p[i].x),(p[j].y-p[i].y) \u4e0e i-k(p[k].x-p[i].x),(p[k].y-p[i].y)
\n if(v==0) return true;
\n else return false;
\n}<\/p>\n
int main(){
\n int n;
\n cin>>n;
\n for(int i=0; i<n; ++i) cin>>p[i].x>>p[i].y;
\n vector<unordered_map<ll,vector<int>>> vec(n); \/\/ \u5b58
\n \/\/ \u9884\u5904\u7406，\u53ea\u9700\u8981\u8017\u65f6O(n^2)，\u5373\u53ef\u5206\u5806，\u907f\u514d3\u5c42\u66b4\u529b\u7684\u5927\u91cf\u91cd\u590d\u8ba1\u7b97
\n for(int i=0; i<n; ++i){
\n unordered_map<ll,vector<int>> m; \/\/ \u7528\u534a\u5f84\u7684\u5e73\u65b9\u50a8\u5b58，\u8fd9\u6837\u5c31\u4e0d\u7528\u5f00\u65b9\u4e86
\n for(int j=0; j<n; ++j){
\n if(i==j) continue;
\n ll len = get_radius(i,j);
\n m[len].push_back(j); \/\/ \u628a\u8fd9\u4e2a\u70b9\u5b58\u8fdb\u53bb
\n }
\n vec[i] = m; \/\/ \u628amap\u5b58\u5165
\n }\/\/ \u6700\u5927\u7684\u4f18\u70b9\u5c31\u662f\u907f\u514d\u4e86\u8bb8\u591a\u65e0\u610f\u4e49\u7684\u91cd\u590d\u8ba1\u7b97<\/p>\n
int sum = 0;
\n for(int i=0; i<n; ++i){ \/\/ \u627e\u5230\u8fd9\u4e2a\u70b9，\u5224\u65ad\u5176\u5185\u90e8\u7684\u5b58\u50a8
\n auto m = vec[i]; \/\/ \u8fd9\u4e2a\u7684\u51fa\u6765\u7684\u77e5\u8bc6map\u7ed3\u5408，\u91cc\u9762\u5e7c\u5ae9\u591a
\n for(auto it=m.begin(); it!=m.end(); ++it){
\n vector<int> p_m = it->second;
\n if(p_m.size()<=1) continue; \/\/ \u8fd9\u79cd\u60c5\u51b5\u4e0b，\u8df3\u8fc7
\n for(int j=0; j<p_m.size(); ++j){
\n for(int k=j+1; k<p_m.size(); ++k){
\n if(is_parallel(i,p_m[j],p_m[k])) continue; \/\/ \u5171\u7ebf
\n sum++;
\n }
\n }
\n }
\n }
\n cout<<sum<<endl;
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.*;
\npublic class Main {
\n public static void main(String[] args) {
\n \/\/\u8f93\u51fa\u90e8\u5206
\n \/\/\u8bfb\u53d6\u8f93\u5165\u7684\u70b9，\u5e76\u7edf\u8ba1\u6bcf\u4e2a\u70b9\u7684\u51fa\u73b0\u6b21\u6570
\n Scanner sc = new Scanner(System.in);
\n int n = sc.nextInt();\/\/\u8f93\u5165\u70b9\u7684\u6570\u91cf
\n int[] x = new int [n + 10];\/\/\u5b58\u50a8\u6bcf\u4e2a\u70b9\u7684x\u5750\u6807
\n int[] y = new int [n + 10];\/\/\u5b58\u50a8\u6bcf\u4e2a\u70b9\u7684y\u5750\u6807
\n HashMap<String, Integer> s = new HashMap<>();\/\/\u7edf\u8ba1\u6bcf\u4e2a\u70b9\u7684\u51fa\u73b0\u6b21\u6570\/\/\u952e\u662f\u70b9\u7684\u5750\u6807，\u5982（"1 2")
\n for(int i = 0; i < n; i++){
\n x[i] = sc.nextInt();\/\/\u8f93\u5165\u7b2ci\u4e2a\u70b9\u7684x\u5750\u6807
\n y[i] = sc.nextInt();\/\/\u8f93\u5165\u7b2ci\u4e2a\u70b9\u7684y\u5750\u6807
\n String t = x[i] + " " + y[i];\/\/\u5c06\u5750\u6807\u62fc\u63a5\u6210\u5b57\u7b26\u4e32\u4f5c\u4e3a\u952e
\n s.put(t, s.getOrDefault(t , 0) + 1);\/\/\u7edf\u8ba1\u8bfb\u70b9\u7684\u51fa\u73b0\u6b21\u6570
\n }
\n \/\/\u8ba1\u7b97\u6838\u5fc3\u90e8\u5206
\n \/\/\u5bf9\u4e8e\u6bcf\u4e2a\u70b9i，\u8ba1\u7b97\u5b83\u4e0e\u5176\u4ed6\u6240\u6709\u70b9j\u7684\u8ddd\u79bb，\u5e76\u5c06\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\u5206\u7ec4
\n long res = 0;\/\/\u6700\u7ec8\u7ed3\u679c
\n for(int i = 0; i < n; i++){
\n HashMap< Long,List<Integer> > map = new HashMap<>();\/\/\u5b58\u50a8\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\u7684\u7d22\u5f15
\n for(int j = 0; j < n; j++){
\n if(i == j) continue;\/\/\u8df3\u8fc7\u81ea\u5df1
\n long d = (long)(Math.pow(x[i] – x[j], 2) + Math.pow(y[i] – y[j] , 2));\/\/\u8ba1\u7b97\u8ddd\u79bb\u7684\u5e73\u65b9
\n List<Integer> list = map.getOrDefault(d, new ArrayList<>());\/\/\u521d\u59cb\u5316\u5217\u8868
\n list.add(j);\/\/\u5c06\u70b9j\u52a0\u5165\u5bf9\u5e94\u7684\u5217\u8868
\n map.put(d,list);\/\/\u66f4\u65b0map
\n }
\n \/\/map\u662f\u4e00\u4e2a\u54c8\u5e0c\u8868，\u952e\u662f\u8ddd\u79bb\u7684\u5e73\u65b9（d）\u503c\u662f\u4e00\u4e2a\u5217\u8868，\u5b58\u50a8\u6240\u6709\u4e0e\u70b9i\u8ddd\u79bb\u4e3ad\u7684\u70b9\u7684\u7d22\u5f15
\n \/\/d\u662f\u70b9i\u548c\u70b9j\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u5e73\u65b9（\u4e3a\u4e86\u8282\u7701\u8ba1\u7b97\u91cf，\u6ca1\u6709\u5f00\u5e73\u65b9）
\n for(long b : map.keySet()){
\n List<Integer>list = map.get(b);\/\/\u83b7\u53d6\u8ddd\u79bb\u4e3ab\u7684\u6240\u6709\u70b9
\n res += (list.size() * (list.size() – 1)) \/2;\/\/\u7edf\u8ba1\u70b9\u7684\u6570\u91cf
\n long c = 0;
\n for(int j : list){
\n long x3 = 2 * x[i] – x[j], y3 = 2 * y[i] – y[j];\/\/\u8ba1\u7b97\u5bf9\u79f0\u5e26\u70b9x\u4e0ey\u7684\u5750\u6807
\n if(s.containsKey(x3 + " " + y3)){\/\/\u62fc\u63a5\u6210\u5b57\u7b26\u4e32
\n c += s.get(x3 + " " + y3);\/\/\u7edf\u8ba1\u5bf9\u79f0\u70b9\u7684\u51fa\u73b0\u6b21\u6570
\n }
\n }
\n res -= c\/2;\/\/\u51cf\u53bb\u91cd\u590d\u7edf\u8ba1\u7684\u70b9\u5bf9
\n }
\n }
\n System.out.println(res);
\n }
\n} <\/p>\n
\u516d\u3001\u5220\u8fb9\u95ee\u9898<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u7ed9\u5b9a\u4e00\u4e2a\u5305\u542b\u00a0N\u00a0\u4e2a\u7ed3\u70b9\u00a0M\u00a0\u6761\u8fb9\u7684\u65e0\u5411\u56fe\u00a0G，\u7ed3\u70b9\u7f16\u53f7\u00a01…N\u3002\u5176\u4e2d\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u6709\u4e00\u4e2a\u70b9\u6743\u00a0Wi\u200b\u3002<\/p>\n
\u4f60\u53ef\u4ee5\u4ece\u00a0M\u00a0\u6761\u8fb9\u4e2d\u4efb\u9009\u6070\u597d\u4e00\u6761\u8fb9\u5220\u9664，\u5982\u679c\u5269\u4e0b\u7684\u56fe\u6070\u597d\u5305\u542b\u00a02\u00a0\u4e2a\u8fde\u901a\u5206\u91cf，\u5c31\u79f0\u8fd9\u662f\u4e00\u79cd\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848\u3002<\/p>\n
\u5bf9\u4e8e\u4e00\u79cd\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848，\u6211\u4eec\u5047\u8bbe\u00a02\u00a0\u4e2a\u8fde\u901a\u5206\u91cf\u5305\u542b\u7684\u70b9\u7684\u6743\u503c\u4e4b\u548c\u5206\u522b\u4e3a\u00a0X\u548c\u00a0Y，\u8bf7\u4f60\u627e\u51fa\u4e00\u79cd\u4f7f\u5f97\u00a0X\u4e0e\u00a0Y\u00a0\u7684\u5dee\u503c\u6700\u5c0f\u7684\u65b9\u6848\u3002\u8f93\u51fa\u00a0X\u00a0\u4e0e\u00a0Y\u00a0\u7684\u5dee\u503c\u3002<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570\u00a0N\u00a0\u548c\u00a0M\u3002<\/p>\n
\u7b2c\u4e8c\u884c\u5305\u542b\u00a0N\u4e2a\u6574\u6570，W1,W2,…WN\u200b\u3002<\/p>\n
\u4ee5\u4e0b\u00a0M\u00a0\u884c\u6bcf\u884c\u5305\u542b\u00a02\u00a0\u4e2a\u6574\u6570\u00a0U\u00a0\u548c\u00a0V，\u4ee3\u8868\u7ed3\u70b9\u00a0U\u00a0\u548c\u00a0V\u4e4b\u95f4\u6709\u4e00\u6761\u8fb9\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u4e00\u4e2a\u6574\u6570\u4ee3\u8868\u6700\u5c0f\u7684\u5dee\u503c\u3002\u5982\u679c\u4e0d\u5b58\u5728\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848，\u8f93\u51fa\u00a0\u22121\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
4 4
\n10 20 30 40
\n1 2
\n2 1
\n2 3
\n3 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
20<\/p>\n
\u6837\u4f8b\u8bf4\u660e<\/p>\n
\u7531\u4e8e\u00a01\u00a0\u548c\u00a02\u00a0\u4e4b\u95f4\u5b9e\u9645\u6709\u00a02\u00a0\u6761\u8fb9，\u6240\u4ee5\u5408\u6cd5\u7684\u5220\u9664\u65b9\u6848\u6709\u00a02\u00a0\u79cd，\u5206\u522b\u662f\u5220\u9664\u00a0(2,3)\u00a0\u4e4b\u95f4\u7684\u8fb9\u548c\u5220\u9664 (3,4)\u00a0\u4e4b\u95f4\u7684\u8fb9\u3002<\/p>\n
\u5220\u9664\u00a0(2,3)\u00a0\u4e4b\u95f4\u7684\u8fb9，\u5269\u4e0b\u7684\u56fe\u5305\u542b\u00a022\u00a0\u4e2a\u8fde\u901a\u5206\u91cf:\u00a0{1,2}\u00a0\u548c{3,4}，\u70b9\u6743\u548c\u5206\u522b\u662f\u00a030\u300170，\u5dee\u4e3a\u00a040\u3002<\/p>\n
\u5220\u9664\u00a0(3,4)\u00a0\u4e4b\u95f4\u7684\u8fb9，\u5269\u4e0b\u7684\u56fe\u5305\u542b\u00a022\u00a0\u4e2a\u8fde\u901a\u5206\u91cf: {1,2,3}\u00a0\u548c\u00a0{4}，\u70b9\u6743\u548c\u5206\u522b\u662f\u00a060\u300140，\u5dee\u4e3a\u00a020\u3002<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020%\u00a0\u7684\u6570\u636e，1\u2264N,M\u226410000\u3002<\/p>\n
\u5bf9\u4e8e\u53e6\u5916\u00a020%\u7684\u6570\u636e，\u6bcf\u4e2a\u7ed3\u70b9\u7684\u5ea6\u6570\u4e0d\u8d85\u8fc7\u00a02\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100% \u7684\u6570\u636e，1\u2264N,M\u2264200000，0\u2264Wi\u226410^9，1\u2264U,V\u2264N\u3002<\/p>\n
\/\/ \u672c\u9898\u4e3atarjan\u7b97\u6cd5\u7684\u53d8\u79cd，\u4e0d\u61c2\u7684，\u53ef\u4ee5\u5148\u641c\u4e00\u4e0b\u57fa\u672c\u7528\u6cd5（\u6d89\u53ca\u56fe\u7684\u77e5\u8bc6），\u672c\u6587\u6700\u5e95\u90e8，\u4e5f\u6709\u4f18\u8d28\u89c6\u9891\u7684\u94fe\u63a5 \/* \u00a0 \u5176\u5b9e\u672c\u9898\u4e0d\u96be，\u53ea\u8981\u6709\u56fe\u7684\u57fa\u7840\u5c31\u884c–（\u80fd\u770b\u61c2\u7b54\u6848\u7684\u524d\u63d0） \u00a0 \u8fde\u901a\u5206\u91cf：\u56fe\u7684\u4e00\u4e2a\u5b50\u56fe，\u8fd9\u4e2a\u5b50\u56fe\u4e2d，\u4efb\u610f\u4e24\u70b9\u4e4b\u95f4，\u90fd\u5b58\u5728\u53ef\u8fbe\u8def\u5f84 \u00a0 \u7136\u540e\u5c31\u662f tarjan \u7b97\u6cd5（\u61c2\u5f97\u53ef\u4ee5\u4e0d\u7528\u770b，\u5efa\u8bae\u5148\u770b\u89c6\u9891，\u77e5\u9053tarjan\u662f\u5565） \u00a0 * \u00a0 \u00a0 \u7528dfn（\u53d1\u73b0\u65f6\u95f4\u6233）\u4e0elow（\u6700\u4f4e\u53ef\u8fbe\u7956\u5148\u7684\u53d1\u73b0\u65f6\u95f4\u6233）\u3002\u786e\u5207\u7684\u8bf4，\u4ed6\u4fe9\u90fd\u662f\u4e2a\u7f16\u53f7\u3002 \u00a0 \u00a0 \u7136\u540e\u7528cnt（count）\u8fd9\u4e2a\u8bbe\u7f6e\u65f6\u95f4\u6233\u3002\u6bcf\u6b21++\u3002 \u00a0 \u00a0 –\u4ee5\u4e0a\u662ftarjan\u7b97\u6cd5\u6a21\u7248– \u00a0 \u00a0 \u5efa\u7acb\u4e00\u4e2a\u51fd\u6570tarjan(n,fa) \/\/ n\u662f\u73b0\u8282\u70b9，fa\u662f\u7236\u8282\u70b9，\u907f\u514d\u91cd\u590d\u7528\u7684 \u00a0 \u00a0 \u7136\u540e，\u9012\u5f52\u8c03\u7528\u6bcf\u4e2a\u73b0\u9636\u6bb5\u5b50\u8282\u70b9（\u5927\u81f4\u4f1a\u5148\u5c06\u6240\u6709） \u00a0 \u00a0 \u6b64\u65f6\u6709\u4e09\u79cd\u60c5\u51b5 \u00a0 \u00a0 \u00a0 1\u3001\u662f\u672a\u88ab\u904d\u5386\u8fc7\u7684\u65b0\u8282\u70b9 \u00a0 \u00a0 \u00a0 \u00a0 （\u8fd9\u65f6\u53ef\u4ee5\u7ee7\u7eed\u5411\u4e0b\u641c\u7d22，\u7b49\u56de\u9000\u5230\u8fd9\u91cc\u65f6， \u00a0 \u00a0 \u00a0 \u00a0 （\u66f4\u65b0\u4e00\u4e0blow\u503c，\u82e5\u679c\u73b0\u8282\u70b9\u7684dfn\u5c0f\u4e8e\u5b50\u8282\u70b9\u7684low\u503c(dfn<low)，\u4ee3\u8868\u8fde\u901a\u4e24\u8282\u70b9\u7684\u8fb9\u80fd\u88ab\u5272\u53bb \u00a0 \u00a0 \u00a0 \u00a0 （\u4e3a\u4e86\u8ba1\u6570，\u53ef\u4ee5\u5728\u7ef4\u62a4\u4e00\u4e2aw\u96c6\u5408，\u7528\u4e8e\u50a8\u5b58\u4ee5\u672c\u8282\u70b9\u4e3a\u7ed3\u5c3e\u7684\u603b\u548c \u00a0 \u00a0 \u00a0 2\u3001\u904d\u5386\u5230\u4e86\u7236\u8282\u70b9 \u00a0 \u00a0 \u00a0 \u00a0 （\u53ef\u4ee5\u6beb\u4e0d\u72b9\u8c6b\u7684\u9000\u56de\u4e86） \u00a0 \u00a0 \u00a0 3\u3001\u904d\u5386\u5230\u4e86\u975e\u7236\u8282\u70b9\u7684\u65e7\u8282\u70b9 \u00a0 \u00a0 \u00a0 \u00a0 （\u8fd9\u4e2a\u53ef\u662f\u66f4\u65b0low\u503c\u7684\u597d\u65f6\u5019 \u00a0 \u00a0 \u00a0 \u00a0 （\u662f\u4e3a\u4e86\u7ed9，\u56de\u6eaf\u65f6，\u5224\u65ad\u662f\u5426\u80fd\u6784\u6210\u8054\u901a\u56fe \u00a0 \u00a0\u505a\u51c6\u5907 \u00a0 * \u00a0 \/\/ \u62d3\u5c55-\u4ece\u5272\u8fb9\u95ee\u9898 -> \u5272\u70b9\u95ee\u9898 \u00a0 (\u5272\u70b9\u95ee\u9898\u65f6，\u9700\u8981\u5c06low\u5c0f\u4e8e\u7b49\u4e8edfn(low<=dfn) \u00a0 (\u4e3a\u5565<=\u4e2d，\u591a\u4e86\u4e2a\u7b49\u4e8e？\u56e0\u4e3a\u4e00\u65e6\u5220\u6389\u8fd9\u4e2a\u70b9，\u6574\u4e2a\u94fe\u5b50\u5c31\u4f1a\u65ad\u5f00，Java\u89e3\u6790\u4e0b\u65b9\u6709\u56fe\u89e3 *\/<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <cmath>
\n#include <vector>
\n#define ll long long
\nusing namespace std;
\nconst ll N = 1e6+5;
\nconst ll maxn = 0x3f3f3f3f3f3f3f3f; \/\/ \u5b9a\u4e49\u201c\u4f2a\u6700\u5927\u503c\u201d
\nll n,m,sum_value=0,cnt=0,ans=maxn; \/\/ sum_value\u603b\u548c,cnt\u8ba1\u6570\u5668<\/p>\n
vector<ll> dfn(N,0),low(N,0);
\nvector<int> vec[N]; \/\/ \u5b9a\u4e49\u90bb\u63a5\u8868
\nvector<ll> value(N,0); \/\/ \u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503c
\nvector<ll> node_sum(N,0); \/\/ \u56de\u9000\u56de\u6765\u7684\u8282\u70b9\u603b\u548c<\/p>\n
void tarjan(int u, int fa){ \/\/ \u73b0\u8282\u70b9u\u3001\u7236\u8282\u70b9fa
\n dfn[u]=low[u]=++cnt;
\n for(int v:vec[u]){
\n if(dfn[v]==0){ \/\/ \u6ca1\u904d\u5386\u8fc7
\n tarjan(v,u);
\n low[u] = min(low[v],low[u]);
\n if(dfn[u]<low[v]) ans=min(ans,abs(sum_value-2*value[v]));
\n value[u] += value[v];
\n }else if(v!=fa){
\n low[u]=min(low[u],low[v]);
\n }
\n }
\n}<\/p>\n
void slove(){ \/\/ \u4f5c\u4e3a\u4e2d\u8f6c\u7ad9
\n cin>>n>>m;
\n for(int i=1; i<=n; ++i) cin>>value[i],sum_value+=value[i];
\n for(int i=0; i<m; ++i){ \/\/ \u5c06\u65e0\u5411\u56fe\u5b58\u5165
\n int r1,r2;
\n cin>>r1>>r2;
\n vec[r1].push_back(r2);
\n vec[r2].push_back(r1);
\n }
\n \/\/ \u73b0\u5728\u5565\u90fd\u6709\u4e86
\n tarjan(1,0);
\n if(value[1]!=sum_value) cout<<abs(sum_value-2*value[1])<<endl;
\n else if(ans!=maxn) cout<<ans<<endl;
\n else cout<<-1<<endl;
\n}<\/p>\n
int main(){
\n slove();
\n return 0;
\n}<\/p>\n
Java<\/h5>\n
import java.util.ArrayList;
\nimport java.util.List;
\nimport java.util.Scanner;<\/p>\n
public class Main {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N \u4f5c\u4e3a\u6570\u7ec4\u5927\u5c0f
\n static final long N = (long) (1e6 + 5);
\n \/\/ \u5b9a\u4e49\u201c\u4f2a\u6700\u5927\u503c\u201d
\n static final long maxn = 0x3f3f3f3f3f3f3f3fL;
\n \/\/ \u8282\u70b9\u6570\u91cf n，\u8fb9\u7684\u6570\u91cf m
\n static long n, m;
\n \/\/ \u6240\u6709\u8282\u70b9\u6743\u503c\u603b\u548c
\n static long sum_value = 0;
\n \/\/ \u65f6\u95f4\u6233\u8ba1\u6570\u5668
\n static long cnt = 0;
\n \/\/ \u5b58\u50a8\u6700\u7ec8\u7ed3\u679c
\n static long ans = maxn;
\n \/\/ \u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u7684\u53d1\u73b0\u65f6\u95f4\u6233
\n static List<Long> dfn = new ArrayList<>();
\n \/\/ \u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u80fd\u56de\u6eaf\u5230\u7684\u6700\u65e9\u7956\u5148\u7684\u53d1\u73b0\u65f6\u95f4\u6233
\n static List<Long> low = new ArrayList<>();
\n \/\/ \u90bb\u63a5\u8868，\u5b58\u50a8\u56fe\u7684\u7ed3\u6784
\n static List<List<Integer>> vec = new ArrayList<>();
\n \/\/ \u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503c
\n static List<Long> value = new ArrayList<>();<\/p>\n
\/\/ Tarjan \u7b97\u6cd5\u6838\u5fc3\u51fd\u6570
\n static void tarjan(int u, int fa) {
\n \/\/ \u521d\u59cb\u5316\u5f53\u524d\u8282\u70b9\u7684\u53d1\u73b0\u65f6\u95f4\u6233\u548c\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233
\n dfn.set(u, ++cnt);
\n low.set(u, cnt);
\n \/\/ \u904d\u5386\u5f53\u524d\u8282\u70b9\u7684\u6240\u6709\u90bb\u63a5\u8282\u70b9
\n for (int v : vec.get(u)) {
\n if (dfn.get(v) == 0) { \/\/ \u5982\u679c\u90bb\u63a5\u8282\u70b9\u672a\u88ab\u8bbf\u95ee\u8fc7
\n \/\/ \u9012\u5f52\u8c03\u7528 Tarjan \u7b97\u6cd5\u5904\u7406\u90bb\u63a5\u8282\u70b9
\n tarjan(v, u);
\n \/\/ \u66f4\u65b0\u5f53\u524d\u8282\u70b9\u7684\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233
\n low.set(u, Math.min(low.get(u), low.get(v)));
\n \/\/ \u5982\u679c\u5f53\u524d\u8282\u70b9\u7684\u53d1\u73b0\u65f6\u95f4\u6233\u5c0f\u4e8e\u90bb\u63a5\u8282\u70b9\u7684\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233，\u8bf4\u660e\u8be5\u8fb9\u662f\u5272\u8fb9
\n if (dfn.get(u) < low.get(v)) {
\n ans = Math.min(ans, Math.abs(sum_value – 2 * value.get(v)));
\n }
\n \/\/ \u5c06\u90bb\u63a5\u8282\u70b9\u7684\u6743\u503c\u7d2f\u52a0\u5230\u5f53\u524d\u8282\u70b9
\n value.set(u, value.get(u) + value.get(v));
\n } else if (v != fa) { \/\/ \u5982\u679c\u90bb\u63a5\u8282\u70b9\u5df2\u88ab\u8bbf\u95ee\u4e14\u4e0d\u662f\u7236\u8282\u70b9
\n \/\/ \u66f4\u65b0\u5f53\u524d\u8282\u70b9\u7684\u6700\u65e9\u7956\u5148\u65f6\u95f4\u6233
\n low.set(u, Math.min(low.get(u), low.get(v)));
\n }
\n }
\n }<\/p>\n
\/\/ \u4e3b\u5904\u7406\u51fd\u6570
\n static void solve() {
\n Scanner scanner = new Scanner(System.in);
\n \/\/ \u8bfb\u53d6\u8282\u70b9\u6570\u91cf\u548c\u8fb9\u7684\u6570\u91cf
\n n = scanner.nextLong();
\n m = scanner.nextLong();
\n \/\/ \u521d\u59cb\u5316\u5217\u8868
\n for (int i = 0; i <= n; i++) {
\n dfn.add(0L);
\n low.add(0L);
\n value.add(0L);
\n vec.add(new ArrayList<>());
\n }
\n \/\/ \u8bfb\u53d6\u6bcf\u4e2a\u8282\u70b9\u7684\u6743\u503c\u5e76\u8ba1\u7b97\u603b\u548c
\n for (int i = 1; i <= n; i++) {
\n value.set(i, scanner.nextLong());
\n sum_value += value.get(i);
\n }
\n \/\/ \u8bfb\u53d6\u8fb9\u7684\u4fe1\u606f\u5e76\u6784\u5efa\u90bb\u63a5\u8868
\n for (int i = 0; i < m; i++) {
\n int r1 = scanner.nextInt();
\n int r2 = scanner.nextInt();
\n vec.get(r1).add(r2);
\n vec.get(r2).add(r1);
\n }
\n \/\/ \u4ece\u8282\u70b9 1 \u5f00\u59cb\u8fdb\u884c Tarjan \u7b97\u6cd5
\n tarjan(1, 0);
\n \/\/ \u5982\u679c\u8282\u70b9 1 \u7684\u6743\u503c\u603b\u548c\u4e0d\u7b49\u4e8e\u6240\u6709\u8282\u70b9\u7684\u6743\u503c\u603b\u548c
\n if (value.get(1) != sum_value) {
\n System.out.println(Math.abs(sum_value – 2 * value.get(1)));
\n } else if (ans != maxn) { \/\/ \u5982\u679c\u627e\u5230\u4e86\u5272\u8fb9
\n System.out.println(ans);
\n } else { \/\/ \u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u5272\u8fb9
\n System.out.println(-1);
\n }
\n }<\/p>\n
public static void main(String[] args) {
\n \/\/ \u8c03\u7528\u4e3b\u5904\u7406\u51fd\u6570
\n solve();
\n }
\n} <\/p>\n
\u00a0\u62d3\u5c55（\u5272\u70b9）：<\/p>\n
\u200b<\/p>\n<\/p>\n
\u4e03\u3001AB\u8def\u7ebf<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u62ff\u4e86\u00a0n\u6761\u7ebf\u6bb5\u7ec3\u4e60\u6293\u5a03\u5a03\u3002\u4ed6\u5c06\u6240\u6709\u7ebf\u6bb5\u94fa\u5728\u6570\u8f74\u4e0a，\u7b2c\u00a0i\u00a0\u6761\u7ebf\u6bb5\u7684\u5de6\u7aef\u70b9\u5728\u00a0li\u200b，\u53f3\u7aef\u70b9\u5728\u00a0ri\u200b\u3002\u5c0f\u660e\u7528\u00a0m\u00a0\u4e2a\u533a\u95f4\u53bb\u6846\u8fd9\u4e9b\u7ebf\u6bb5，\u7b2c\u00a0i\u00a0\u4e2a\u533a\u95f4\u7684\u8303\u56f4\u662f [Li\u200b,\u00a0Ri\u200b]\u3002\u5982\u679c\u4e00\u4e2a\u7ebf\u6bb5\u6709\u00a0\u81f3\u5c11\u4e00\u534a\u00a0\u7684\u957f\u5ea6\u88ab\u5305\u542b\u5728\u67d0\u4e2a\u533a\u95f4\u5185，\u5219\u5c06\u5176\u89c6\u4e3a\u88ab\u8fd9\u4e2a\u533a\u95f4\u6846\u4f4f\u3002\u8bf7\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u533a\u95f4\u6846\u4f4f\u4e86\u591a\u5c11\u4e2a\u7ebf\u6bb5?<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171 n+m+1\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570\u00a0n,\u00a0m\u3002<\/p>\n
\u540e\u9762\u00a0n\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0li\u200b,\u00a0ri\u200b\u3002<\/p>\n
\u540e\u9762\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0Li\u200b,\u00a0Ri\u200b\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
3 2
\n1 2
\n1 3
\n3 4
\n1 4
\n2 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
3
\n2<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1 n,m\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e 100%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,m\u226410^5，li\u200b<ri\u200b，0<li,ri,Li,Ri\u226410^6，max{ri\u200b\u2212li\u200b}\u2264min{Ri\u200b\u2212Li\u200b}.<\/p>\n
\/* \u00a0 \u00a0\u5ba1\u9898 \u201c\u5c0f\u84dd\u6700\u5c11\u8981\u8d70\u591a\u5c11\u6b65？\u201d，\u201c\u6700\u5c11\u201d \u00a0 \u00a0BFS\u5c31\u662f\u89e3\u51b3\u56fe-\u6700\u77ed\u8def\u5f84\u7684\u7279\u6548\u836f， \u00a0 \u00a0DFS\u6df1\u641c\u4e5f\u80fd\u641c\u5230，\u4f46\u4e0d\u4e00\u5b9a\u662f\u6700\u77ed\u7684，\u6df1\u641c\u66f4\u503e\u5411\u4e8e\u6392\u5217\u7ec4\u5408\u3001\u89e3\u6570\u72ec\u3001\u516b\u7687\u540e，\u8fd9\u79cd\u5c1d\u8bd5\u6027\u7684\u7b97\u6cd5\u3002 \u00a0 \u00a0\u597d\u4e86，\u786e\u5b9a\u672c\u9898\u7684\u57fa\u8c03，\u5c31\u662f\u5e7f\u641c<\/p>\n
\u00a0 \u00a0\u5728\u5f00\u59cb\u4e4b\u524d，\u8fd8\u9700\u8003\u8651\u4e00\u4e2a\u95ee\u9898，\u5c31\u662f\u66b4\u529b\u641c\u7d22\u5fc5\u7136\u4f1a\u8d85\u65f6，\u56e0\u6b64，\u679d\u51cf\u64cd\u4f5c，\u5fc5\u4e0d\u53ef\u5c11\u3002\u4e5f\u5c31\u662f\u8981\u5f15\u5165\u8bb0\u5fc6\u5316\u641c\u7d22\u3002 \u00a0 \u00a0\u8fd9\u4e2a\u65f6\u5019，\u5c31\u8981\u601d\u8003，\u7528\u4ec0\u4e48\u5b58\u50a8\u8bb0\u5fc6\u5316\u641c\u7d22 \u00a0 \u00a0\u6ce8\u610f\u672c\u9898 "\u683c\u5b50\u6570，\u8981\u662fK\u7684\u500d\u6570，\u6240\u4ee5\u8fd9\u91cc\u6d89\u53ca\u5230\u4e86k" \u00a0 \u00a0-used[i][j][k]; \u5176\u4e2dk\u6765\u50a8\u5b58\u8d70\u5230\u8fd9\u4e2a\u683c\u5f0f，\u8fde\u7eed\u8d70\u7684\u6b65\u6570\u3002 \u00a0 \u00a0\u6b65\u6570\u76f8\u540c\u65f6，\u4ee3\u8868\u8be5\u5730\u5740\u5df2\u7ecf\u88ab\u8d70\u8fc7\u3002\u76f8\u540c\u7684\u7b26\u53f7，\u76f8\u540c\u7684\u6b65\u6570，\u6240\u4ee5\u53ef\u4ee5\u76f4\u63a5\u8df3\u8fc7\u3002 \u00a0 \u00a0（\u6ce8\u610f，\u8fd9\u91cc\u4e0d\u7528\u4e09\u7ef4\u6570\u7ec4\u6807\u8bb0，\u662f\u4f1a\u8d85\u65f6\u7684）\u3002<\/p>\n
\u00a0 \u00a0\u6240\u4ee5\u672c\u9898\u7528queue\u5e7f\u641c\u3001used[i][j][k]\u8bb0\u5fc6\u5316\u641c\u7d22\u3001res[i][j][k]\u6807\u8bb0\u8d70\u7684\u8fd9\u4e2a\u4f4d\u7f6e，\u7528\u4e86\u591a\u5c11\u6b65\u3002 *\/<\/p>\n
C++\u00a0<\/h5>\n
#include <iostream>
\n#include <queue>
\nusing namespace std;<\/p>\n
const int N = 1e3+5;
\nconst int step = 1e1+5;
\nstruct node{
\n int x;
\n int y;
\n int step;
\n};
\nint n,m,k;
\nqueue<node> q; \/\/ \u7528\u961f\u5217，\u5b9e\u73b0\u5e7f\u641c
\nbool used[N][N][step]; \/\/ \u9884\u5904\u7406
\nint res[N][N][step]; \/\/ \u8868\u793a，\u6bcf\u4e2a\u8282\u70b9，\u90fd\u5728\u90a3\u4e2a\u72b6\u6001\u8d70\u8fc7
\nchar grid[N][N];<\/p>\n
int xf[]={1,-1,0,0}; \/\/ \u7528\u6765\u8bb0\u5f55\u65b9\u5411\u7684\u6539\u53d8
\nint yf[]={0,0,1,-1};<\/p>\n
int BFS(){
\n q.push({0,0,0}); \/\/ \u5c06\u7b2c\u4e00\u4e2a\u8282\u70b9\u5b58\u5165<\/p>\n
while(!q.empty()){
\n node u = q.front(); q.pop(); \/\/ \u53d6\u51fa\u8be5\u8282\u70b9
\n if(u.x==n-1 && u.y==m-1) return res[u.x][u.y][u.step];<\/p>\n
for(int i=0; i<4; ++i){
\n int X = u.x+xf[i], Y = u.y+yf[i], st = u.step+1;
\n if(X<0||X>=n||Y<0||Y>=m) continue; \/\/ \u51fa\u8fb9\u754c
\n if(st<k&&grid[X][Y]!=grid[u.x][u.y]) continue;
\n if(st==k&&grid[X][Y]==grid[u.x][u.y]) continue;
\n st = st%k; \/\/ \u65f6\u523b\u66f4\u65b0\u7740
\n if(used[X][Y][st]) continue; \/\/ \u90fd\u662f\u66f4\u65b0\u4e4b\u540e，\u5728\u904d\u5386\u7684
\n used[X][Y][st]=true; \/\/ \u8868\u793a\u904d\u5386\u8fc7
\n res[X][Y][st]=res[u.x][u.y][u.step]+1; \/\/ \u591a\u8d70\u4e86\u4e00\u6b65
\n q.push({X,Y,st});
\n }
\n }
\n return -1; \/\/ \u6b64\u65f6\u8fd8\u6ca1\u6709\u89e3\u91ca，\u53ea\u80fd\u8bf4\u660e\u4e00\u4ef6\u4e8b，\u904d\u5386\u5230\u5934\u4e86，\u6ca1\u6709\u7ed3\u679c\u3002
\n}<\/p>\n
int main(){
\n \/\/ \u57fa\u672c\u5904\u7406
\n cin>>n>>m>>k;
\n string str;
\n for(int i=0; i<n; ++i){
\n cin>>str;
\n for(int j=0; j<m; ++j) grid[i][j]=str[j];
\n }
\n cout<<BFS();
\n return 0;
\n}<\/p>\n
Java<\/h5>\n
import java.math.BigInteger;
\nimport java.util.*;<\/p>\n
public class Main {<\/p>\n
static long INF = (long) 1e18;<\/p>\n
public static void main(String[] args) {
\n Scanner sc = new Scanner(System.in);
\n int n = sc.nextInt();
\n int m = sc.nextInt();
\n int k = sc.nextInt();
\n sc.nextLine();
\n char[][] mg = new char[n][m];
\n for (int i = 0; i < n; i++) {
\n mg[i] = sc.nextLine().toCharArray();
\n }
\n LinkedList<Pair> qu = new LinkedList<Pair>();
\n qu.add(new Pair(0, 0, 1));
\n int[][] d = new int[][] {{0,1},{1,0},{0,-1},{-1,0}};
\n boolean[][][] visited = new boolean[n][m][2 * k];
\n for (int step = 0; !qu.isEmpty(); step++) {
\n int num = qu.size();
\n for (int i = 0; i < num; i++) {
\n Pair pair = qu.pollFirst();
\n int px = pair.x, py = pair.y, pf = pair.flag;
\n if (visited[px][py][pf]) {
\n continue;
\n }
\n visited[px][py][pf] = true;
\n if (pair.x == n – 1 && pair.y == m – 1) {
\n System.out.print(step);
\n return;
\n }
\n for (int j = 0; j < 4; j++) {
\n int x = px + d[j][0];
\n int y = py + d[j][1];
\n int f = (pf + 1) % (2 * k);
\n if (x >= 0 && x < n && y >= 0 && y < m) {
\n if (visited[x][y][f]) {
\n continue;
\n }
\n if (pf < k && mg[x][y] == 'A' || pf >= k && mg[x][y] == 'B') {
\n qu.addLast(new Pair(x, y, f));
\n }
\n }
\n }
\n }
\n }
\n System.out.print(-1);
\n }
\n}<\/p>\n
class Pair {
\n int x, y, flag;<\/p>\n
public Pair(int x, int y, int flag) {
\n super();
\n this.x = x;
\n this.y = y;
\n this.flag = flag;
\n }
\n} <\/p>\n
\u516b\u3001\u6293\u5a03\u5a03<\/h4>\n
\u95ee\u9898\u63cf\u8ff0<\/p>\n
\u5c0f\u660e\u62ff\u4e86\u00a0n\u00a0\u6761\u7ebf\u6bb5\u7ec3\u4e60\u6293\u5a03\u5a03\u3002\u4ed6\u5c06\u6240\u6709\u7ebf\u6bb5\u94fa\u5728\u6570\u8f74\u4e0a，\u7b2c\u00a0i\u00a0\u6761\u7ebf\u6bb5\u7684\u5de6\u7aef\u70b9\u5728\u00a0li\u200b，\u53f3\u7aef\u70b9\u5728\u00a0ri\u3002\u5c0f\u660e\u7528\u00a0m\u00a0\u4e2a\u533a\u95f4\u53bb\u6846\u8fd9\u4e9b\u7ebf\u6bb5，\u7b2c\u00a0i\u00a0\u4e2a\u533a\u95f4\u7684\u8303\u56f4\u662f [Li\u200b,\u00a0Ri\u200b]\u3002\u5982\u679c\u4e00\u4e2a\u7ebf\u6bb5\u6709\u00a0\u81f3\u5c11\u4e00\u534a\u00a0\u7684\u957f\u5ea6\u88ab\u5305\u542b\u5728\u67d0\u4e2a\u533a\u95f4\u5185，\u5219\u5c06\u5176\u89c6\u4e3a\u88ab\u8fd9\u4e2a\u533a\u95f4\u6846\u4f4f\u3002\u8bf7\u8ba1\u7b97\u51fa\u6bcf\u4e2a\u533a\u95f4\u6846\u4f4f\u4e86\u591a\u5c11\u4e2a\u7ebf\u6bb5?<\/p>\n
\u8f93\u5165\u683c\u5f0f<\/p>\n
\u8f93\u5165\u5171 n+m+1\u00a0\u884c\u3002<\/p>\n
\u7b2c\u4e00\u884c\u4e3a\u4e24\u4e2a\u6b63\u6574\u6570\u00a0n,\u00a0m\u3002<\/p>\n
\u540e\u9762\u00a0n\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0li\u200b,\u00a0ri\u200b\u3002<\/p>\n
\u540e\u9762\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e24\u4e2a\u6574\u6570\u00a0Li\u200b,\u00a0Ri\u200b\u3002<\/p>\n
\u8f93\u51fa\u683c\u5f0f<\/p>\n
\u8f93\u51fa\u5171\u00a0m\u00a0\u884c，\u6bcf\u884c\u4e00\u4e2a\u6574\u6570\u3002<\/p>\n
\u6837\u4f8b\u8f93\u5165<\/p>\n
3 2
\n1 2
\n1 3
\n3 4
\n1 4
\n2 4<\/p>\n
\u6837\u4f8b\u8f93\u51fa<\/p>\n
3
\n2<\/p>\n
\u8bc4\u6d4b\u7528\u4f8b\u89c4\u6a21\u4e0e\u7ea6\u5b9a<\/p>\n
\u5bf9\u4e8e\u00a020%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,m\u226410^3\u3002<\/p>\n
\u5bf9\u4e8e\u00a0100%\u00a0\u7684\u6570\u636e，\u4fdd\u8bc1\u00a0n,m\u226410^5，li\u200b<ri\u200b，0<li,ri,Li,Ri\u226410^6，max{ri\u200b\u2212li\u200b}\u2264min{Ri\u200b\u2212Li\u200b}.<\/p>\n
\/\/ \u806a\u660e\u7684\u4f60，\u4e00\u5b9a\u7528\u7684\u66b4\u529b，\u806a\u660e\u7684\u4f60，\u4e00\u5b9a\u8d85\u65f6o(*￣\u25bd￣*)\u30d6\u00a0 \/\/ \u672c\u9898，\u7528\u5dee\u5206+\u524d\u7f00\u548c，\u5c31\u80fd\u975e\u5e38\u5b8c\u7f8e\u7684\u89e3\u51b3\u95ee\u9898 \/\/ \u6b64\u5916，\u672c\u9898\u9884\u5904\u7406\u5316\u7684\u65f6\u5019，\u4e00\u5b9a\u8981\u770b\u6e05\u695a！ \/\/ \u4e0d\u8981\u5904\u7406\u62102e5+5\u4e86，\u8981\u5f00r\u3001l\u3001R\u3001L\u3002\u800c\u4e0d\u662fn,m;<\/p>\n
C++<\/h5>\n
#include <iostream>
\n#include <vector>
\nconst int N = 2e6+5;
\nusing namespace std;<\/p>\n
int main()
\n{
\n int n,m;
\n cin>>n>>m;
\n vector<int> res(N,0);
\n for(int i=0,r,l; i<n; ++i) cin>>l>>r,res[r+l]++;
\n for(int i=1; i<N; ++i) res[i]+=res[i-1];
\n for(int i=1,L,R; i<=m; ++i){
\n cin>>L>>R;
\n L*=2,R*=2;
\n if(L==0) cout<<res[R]<<endl;
\n else cout<<res[R]-res[L-1]<<endl;
\n }
\n return 0;
\n} <\/p>\n
Java<\/h5>\n
import java.util.Scanner;<\/p>\n
public class SegmentQuery {
\n public static void main(String[] args) {
\n \/\/ \u5b9a\u4e49\u5e38\u91cf N，\u7528\u4e8e\u6570\u7ec4\u5927\u5c0f
\n final int N = 2000005;
\n Scanner scanner = new Scanner(System.in);
\n \/\/ \u8bfb\u53d6 n \u548c m \u7684\u503c
\n int n = scanner.nextInt();
\n int m = scanner.nextInt();
\n \/\/ \u521b\u5efa\u957f\u5ea6\u4e3a N \u7684\u6570\u7ec4 res \u5e76\u521d\u59cb\u5316\u4e3a 0
\n int[] res = new int[N];
\n \/\/ \u8bfb\u53d6 n \u6761\u7ebf\u6bb5\u7684\u5de6\u53f3\u7aef\u70b9\u4fe1\u606f
\n for (int i = 0; i < n; i++) {
\n int l = scanner.nextInt();
\n int r = scanner.nextInt();
\n \/\/ \u5bf9\u7ebf\u6bb5\u4e2d\u70b9\u5bf9\u5e94\u7684\u6570\u7ec4\u5143\u7d20\u52a0 1
\n res[l + r]++;
\n }
\n \/\/ \u6784\u5efa\u524d\u7f00\u548c\u6570\u7ec4
\n for (int i = 1; i < N; i++) {
\n res[i] += res[i – 1];
\n }
\n \/\/ \u5904\u7406 m \u4e2a\u67e5\u8be2\u533a\u95f4
\n for (int i = 1; i <= m; i++) {
\n int L = scanner.nextInt();
\n int R = scanner.nextInt();
\n \/\/ \u5c06\u67e5\u8be2\u533a\u95f4\u7684\u5de6\u53f3\u7aef\u70b9\u4e58\u4ee5 2
\n L *= 2;
\n R *= 2;
\n int result;
\n \/\/ \u5904\u7406\u5de6\u7aef\u70b9\u4e3a 0 \u7684\u8fb9\u754c\u60c5\u51b5
\n if (L == 0) {
\n result = res[R];
\n } else {
\n result = res[R] – res[L – 1];
\n }
\n \/\/ \u8f93\u51fa\u7ed3\u679c
\n System.out.println(result);
\n }
\n scanner.close();
\n }
\n} <\/p>\n
\u540e\u9762\u7684\u4e24\u9053\u9898，\u54b1\u65f6\u95f4\u6709\u9650，\u5c31\u5148\u8df3\u8fc7\u5566(～￣\u25bd￣)～<\/p>\n
\u7b49\u540e\u7eed\u6253\u56fd\u8d5b\u65f6，\u5728\u62d0\u56de\u6765\u5199\u5199\u3002<\/p>\n
\u5f53\u7136\u5927\u5bb6\u6709\u597d\u7684\u4ee3\u7801\u3001\u89e3\u6790，\u4e5f\u53ef\u4ee5\u53d1\u7ed9\u6211，\u8ba9\u6211\u7785\u7785\u3002( \u2022\u0300 \u03c9 \u2022\u0301 )\u2727，\u6211\u8d34\u4e0a\u53bb\u3002<\/p>\n<\/p>\n
\u77e5\u8bc6\u70b9：<\/span><\/h4>\n\u4e00\u3001\u5411\u91cf\u3001\u70b9\u4e58\u3001\u53c9\u4e58<\/span><\/h5>\n（AI\u6574\u7406）<\/span><\/p>\n1\u3001\u5411\u91cf：<\/span><\/h6>\n\u7531\u6765：<\/span><\/h6>\n\u65e9\u5728\u53e4\u5e0c\u814a\u65f6\u671f，\u6570\u5b66\u5bb6\u4e0e\u7269\u7406\u5b66\u5bb6\u5df2\u7ecf\u610f\u8bc6\u5230\u67d0\u4e9b\u91cf（\u5982\u529b\u3001\u901f\u5ea6）\u517c\u5177\u5927\u5c0f\u548c\u65b9\u5411\u3002\u6b64\u65f6 \u5df2\u7ecf\u8574\u542b\u4e86\u5411\u91cf，\u4f46\u6b64\u65f6\u5e76\u672a\u5f62\u6210\u660e\u786e\u7684\u6982\u5ff5\u4e0e\u7406\u8bba\u3002<\/p>\n
17\u4e16\u7eaa\u7b1b\u5361\u5c14\u521b\u5efa\u89e3\u6790\u51e0\u4f55\u540e，\u70b9\u7684\u4f4d\u7f6e\u53ef\u7528\u5750\u6807\u6765\u8868\u793a，\u7ebf\u6bb5\u7684\u957f\u5ea6\u548c\u65b9\u5411\u53ef\u901a\u8fc7\u5750\u6807\u5dee\u91cf\u5316\u3002 \u8fd9\u4e3a\u5411\u91cf\u7684\u4ee3\u6570\u8868\u8fbe，\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/p>\n
\u540e\u6765\u7ecf\u8fc7\u8d1f\u6570\u3001\u56db\u5143\u6570\u7684\u542f\u53d1\u3001\u7ebf\u6027\u6269\u5f20\u8bba…\u7b49\u51e0\u4ee3\u4eba\u52aa\u529b\u4e0e\u77e5\u8bc6\u7684\u8fed\u4ee3，\u5411\u91cf\u624d\u6700\u7ec8\u522b\u786e\u5b9a\u4e0b\u6765\u3002<\/p>\n
\u5b9a\u4e49：<\/span><\/h6>\n\u200b<\/p>\n
\u57fa\u672c\u5c5e\u6027：<\/span><\/h6>\n\u200b<\/p>\n
\u5e38\u89c1\u8fd0\u7b97：<\/span><\/h6>\n\u200b<\/p>\n
2\u3001\u70b9\u4e58：<\/span><\/h6>\n\u4e0d\u8981\u95ee，\u4e3a\u5565\u53eb\u70b9\u4e58，\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u53ef\u7231\u7684\u95ee\u9898 –> \u56e0\u4e3a\u4e24\u5411\u91cf\u4e4b\u95f4\u7528 \u201c\u70b9\u53f7\u201d \u76f8\u4e58\u3002<\/p>\n
\u5b9a\u4e49：<\/span><\/h6>\n\u4e24\u5411\u91cf\u4e4b\u95f4\u76f8\u4e58，\u7ed3\u679c\u4e3a\u6807\u91cf\u3002<\/p>\n
\u200b<\/p>\n
\u5e94\u7528：<\/span><\/h6>\n\n- \u5224\u65ad\u4e24\u6761\u8fb9\u4e4b\u95f4，\u662f\u949d\u89d2（\u8d1f\u6570）\u3001\u76f4\u89d2（0）\u3001\u8fd8\u662f\u9510\u89d2（\u6b63\u6570）<\/li>\n
- \u4e00\u6761\u8fb9\u5728\u53e6\u4e00\u6761\u8fb9\u4e0a\u6620\u5c04\u7684\u957f\u5ea6\u3002<\/li>\n
- \u8ba1\u7b97\u529b\u7684\u505a\u529f\u3002<\/li>\n<\/ul>\n
3\u3001\u53c9\u4e58：<\/span><\/h6>\n\u4e5f\u4e0d\u8981\u95ee，\u4e3a\u5565\u53eb\u53c9\u4e58，\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u53ef\u7231\u7684\u95ee\u9898 –> \u56e0\u4e3a\u4e24\u5411\u91cf\u4e4b\u95f4\u7528 \u201c\u53c9\u53f7\u201d \u76f8\u4e58\u3002<\/p>\n
\u4e8c\u7ef4：<\/span><\/h6>\n\u200b<\/p>\n
\u4e09\u7ef4：<\/span><\/h6>\n\u200b\u5e94\u7528：<\/span><\/h6>\n\u5207\u8bb0，\u5224\u65ad\u70b9\u65f6，\u53c9\u4e58\u8fb9\u7684\u65b9\u5411\u5f88\u91cd\u8981\u3002\u70b9\u7684\u90a3\u6761\u8fb9，\u653e\u5728\u7b2c\u4e8c\u4e2a\u3002<\/span><\/p>\n\u6c42\u5e73\u884c\u56db\u8fb9\u5f62\u4e0e\u4e09\u89d2\u5f62\u7684\u9762\u79ef：<\/p>\n
\u4e8c\u7ef4 \u4e24\u5411\u91cf\u53c9\u4e58，\u6c42\u7684\u662f\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u9762\u79ef\u3002\u9664\u4e8e2，\u6c42\u7684\u662f\u4e09\u89d2\u5f62\u3002<\/p>\n
\u70b9\u4e0e\u76f4\u7ebf\u7684\u5173\u7cfb：<\/p>\n
\u200b<\/p>\n
\u7ebf\u6bb5\u76f8\u4ea4\u7684\u68c0\u6d4b：<\/p>\n
\u200b<\/p>\n
\u70b9\u4e0e\u76f4\u7ebf\u5173\u7cfb，\u8be6\u89e3！！\u200b<\/p>\n<\/p>\n
\u4e8c\u3001\u6d6e\u70b9\u6570\u6bd4\u8f83<\/span><\/h4>\n\u5728\u7f16\u7a0b\u4e2d，\u901a\u5e38\u4e0d\u7528==\u53f7，\u6765\u8fdb\u884c\u6d6e\u70b9\u6570\u6bd4\u8f83\u3002\u56e0\u4e3a\u4f1a\u51fa\u73b0\u7cbe\u5ea6\u8bef\u5dee\u3002\u5373\u4fbf\u5728\u6570\u5b66\u4e2d\u76f8\u7b49，\u5728\u8ba1\u7b97\u673a\u4e2d\u4e5f\u4e0d\u4e00\u5b9a\u76f8\u7b49\u3002<\/p>\n
abs(a-b)<1e-6 <\/p>\n
\u901a\u5e38\u7528\u5c0f\u4e8e1e-6\u6765\u6d4b\u8bd5\u5dee\u503c\u3002<\/p>\n
1e-6\u5728\u901a\u5e38\u60c5\u51b5\u4e0b\u662f\u591f\u7528\u7684， \u5b83\u65e2\u4e0d\u662f\u90a3\u4e48\u4e25\u683c（\u628a\u672c\u5e94\u8be5\u76f8\u540c\u7684\u6570，\u5224\u4e3a\u4e0d\u540c） \u5b83\u4e5f\u4e0d\u662f\u90a3\u4e48\u5bbd\u677e（\u628a\u672c\u4e0d\u540c\u7684\u6570，\u5224\u4e3a\u76f8\u540c）<\/p>\n<\/p>\n
\u4e09\u3001map\u4e0eunordered_map<\/span><\/h4>\nmap\u5e95\u5c42\u4e3a\u7ea2\u9ed1\u6811，unordered_map\u5e95\u5c42\u4e3a\u54c8\u5e0c\u8868<\/p>\n
\u5b58or\u53d6，map(O(logN))\u7684\u6548\u7387\u7686\u4f4e\u4e8eunordered_map(O(1))\u3002<\/p>\n<\/p>\n
\u56db\u3001\u6781\u5927\u503c（32\u4f4d\u300164\u4f4d\u300116\u8fdb\u5236）<\/span><\/h4>\n\n- INT32_MAX\u00a0\u662f 32 \u4f4d\u6709\u7b26\u53f7\u6574\u6570\u7684\u6700\u5927\u503c，\u4e3a\u00a02,147,483,647\u3002（2.15 \u00d7 10\u2079）<\/li>\n
- 0x3f3f3f3f3f3f3f3f：\u8f6c\u6362\u4e3a\u5341\u8fdb\u5236\u4e3a：1,082,367,756,170,655,743\u3002（\u7ea6 1.08 \u00d7 10\u00b9\u2078）<\/li>\n
- INT64_MAX：\u7ea6 9.22 \u00d7 10\u00b9\u2078\u3002<\/li>\n<\/ul>\n
INT32_MAX\u662f32\u4f4d，\u6807\u51c6\u6700\u5927\u503c\u3002 INT64_MAX\u662f64\u4f4d\u4e0b，\u6807\u51c6\u6700\u5927\u503c\u3002 0x3f3f3f3f3f3f3f3f，\u5e38\u5e38\u88ab\u5f52\u7eb3\u4e8e\u201c\u4f2a\u6700\u5927\u503c\u201d，\u5b83\u5373\u8d77\u5230\u6700\u5927\u503c\u7684\u4f5c\u7528，\u53c8\u80fd\u9002\u5f53\u7684\u76f8\u52a0\u3002\u5728\u56fe\u3001\u6811\u4e2d，\u5e38\u88ab\u8d4b\u4e88\u6743\u503c，\u8868\u793a\u4e0d\u53ef\u62b5\u8fbe\u7684\u70b9\u3002<\/p>\n<\/p>\n
\u4e94\u3001\u5e7f\u641c(BFS)\u4e0e\u6df1\u641c(DFS)<\/span><\/h4>\n\u5e7f\u641c：<\/h5>\n
（\u961f\u5217）<\/p>\n
\n- \u6700\u77ed\u8def\u5f84\u95ee\u9898，\u5e38\u7528\u4e8e\u5224\u65ad\u6700\u77ed\u8def\u5f84\u95ee\u9898\u3002<\/li>\n
- \u56fe\u6216\u6811\u7684\u5c42\u5e8f\u904d\u5386\u95ee\u9898\u3002<\/li>\n
- \u5224\u65ad\u8fde\u901a\u6027\u3002<\/li>\n<\/ul>\n
\u6df1\u641c：<\/h5>\n
（\u9012\u5f52\u3001\u6808）<\/p>\n
\n- \u8def\u5f84\u95ee\u9898，\u5bfb\u627e\u67d0\u4e00\u4e2a\u70b9\u5230\u53e6\u4e00\u4e2a\u70b9\u7684\u8def\u5f84，\u53ef\u80fd\u4e0d\u662f\u6700\u77ed\u8def\u5f84\u3002<\/li>\n
- \u56de\u6eaf\u95ee\u9898，\u53ef\u7528\u4e8e\u67d0\u4e9b\u9700\u8981\u8bd5\u9519\u7684\u7b97\u6cd5（\u89e3\u6570\u72ec\u3001\u516b\u7687\u540e）<\/li>\n
- \u6c42\u89e3\u7ec4\u5408\u95ee\u9898（\u5168\u6392\u5217\u3001\u7ec4\u5408\u7b49\u95ee\u9898）DFS\u53ef\u4ee5\u904d\u5386\u6240\u6709\u6709\u89e3\u7a7a\u95f4\u3002<\/li>\n
- \u62d3\u6251\u6392\u5e8f，\u6682\u65f6\u8fd8\u4e0d\u719f\u6089<\/li>\n<\/ul>\n
\u516d\u3001vector\u7684\u6bd4\u8f83\u65b9\u6848-map<\/span><\/h4>\n\u5728C++\u4e2d，\u4e24\u4e2avector\u6bd4\u8f83，\u662f\u901a\u8fc7operate==，\u8fdb\u884c\u6bd4\u8f83\u7684\u3002<\/p>\n
\u5148\u6bd4\u8f83\u6570\u7ec4\u5927\u5c0f，\u5728\u4f9d\u6b21\u3001\u9010\u4e2a\u6bd4\u8f83\u5177\u4f53\u5185\u5bb9\u3002<\/p>\n
map\u53ef\u4ee5\u4ee5vector\u4e3a\u952e<\/h5>\n
std::map \u57fa\u4e8e\u7ea2\u9ed1\u6811（\u4e00\u79cd\u81ea\u5e73\u8861\u7684\u4e8c\u53c9\u641c\u7d22\u6811）\u3002\u4f1a\u901a\u8fc7\u6392\u5e8f\u786e\u5b9a\u4f4d\u7f6e\u3002（operate<）<\/p>\n
\u4e14vector\u5df2\u7ecf\u91cd\u8f7d\u8fc7(operate <) \u4e86，\u6bd4\u8f83\u65f6，\u81ea\u52a8\u6309\u7167\u5b57\u5178\u5e8f\u6bd4\u8f83\u3002<\/p>\n
unordered_map\u4e0d\u53ef\u4ee5\u4ee5vector\u4e3a\u952e<\/h5>\n
\u952e\u7684\u8981\u6c42\u662f<\/p>\n
1\u3001\u80fd\u6ee1\u8db3 \u54c8\u5e0c\u51fd\u6570 \u8f6c\u5316\u4e3a \u54c8\u5e0c\u503c\u3002<\/p>\n
2\u3001\u80fd\u901a\u8fc7operate== \u8fdb\u884c\u6bd4\u8f83<\/p>\n
\u867d\u7136vector\u4e2d\u5b9a\u4e49\u4e86operate==，\u4f46\u662f\u6ca1\u6709\u5b9a\u4e49，\u54c8\u5e0c\u51fd\u6570\u3002<\/p>\n
（\u603b\u7ed3：map\u90fd\u5177\u5907，unordered_map\u4e0d\u80fd\u5c06vector\u8f6c\u5316\u4e3a\u54c8\u5e0c\u51fd\u6570）<\/p>\n
\n\u501f\u9274\u89c6\u9891\u3001\u535a\u5ba2：<\/p>\n
1\u3001[\u7b97\u6cd5]\u8f7b\u677e\u638c\u63e1tarjan\u5f3a\u8fde\u901a\u5206\u91cf\u00a0– \u56fe<\/p>\n
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\u5b83\u65e2\u4e0d\u662f\u90a3\u4e48\u4e25\u683c（\u628a\u672c\u5e94\u8be5\u76f8\u540c\u7684\u6570，\u5224\u4e3a\u4e0d\u540c） \u5b83\u4e5f\u4e0d\u662f\u90a3\u4e48\u5bbd\u677e（\u628a\u672c\u4e0d\u540c\u7684\u6570，\u5224\u4e3a\u76f8\u540c）<\/p>\n<\/p>\n map\u5e95\u5c42\u4e3a\u7ea2\u9ed1\u6811，unordered_map\u5e95\u5c42\u4e3a\u54c8\u5e0c\u8868<\/p>\n \u5b58or\u53d6，map(O(logN))\u7684\u6548\u7387\u7686\u4f4e\u4e8eunordered_map(O(1))\u3002<\/p>\n<\/p>\n INT32_MAX\u662f32\u4f4d，\u6807\u51c6\u6700\u5927\u503c\u3002 INT64_MAX\u662f64\u4f4d\u4e0b，\u6807\u51c6\u6700\u5927\u503c\u3002 0x3f3f3f3f3f3f3f3f，\u5e38\u5e38\u88ab\u5f52\u7eb3\u4e8e\u201c\u4f2a\u6700\u5927\u503c\u201d，\u5b83\u5373\u8d77\u5230\u6700\u5927\u503c\u7684\u4f5c\u7528，\u53c8\u80fd\u9002\u5f53\u7684\u76f8\u52a0\u3002\u5728\u56fe\u3001\u6811\u4e2d，\u5e38\u88ab\u8d4b\u4e88\u6743\u503c，\u8868\u793a\u4e0d\u53ef\u62b5\u8fbe\u7684\u70b9\u3002<\/p>\n<\/p>\n （\u961f\u5217）<\/p>\n （\u9012\u5f52\u3001\u6808）<\/p>\n \u5728C++\u4e2d，\u4e24\u4e2avector\u6bd4\u8f83，\u662f\u901a\u8fc7operate==，\u8fdb\u884c\u6bd4\u8f83\u7684\u3002<\/p>\n \u5148\u6bd4\u8f83\u6570\u7ec4\u5927\u5c0f，\u5728\u4f9d\u6b21\u3001\u9010\u4e2a\u6bd4\u8f83\u5177\u4f53\u5185\u5bb9\u3002<\/p>\n std::map \u57fa\u4e8e\u7ea2\u9ed1\u6811（\u4e00\u79cd\u81ea\u5e73\u8861\u7684\u4e8c\u53c9\u641c\u7d22\u6811）\u3002\u4f1a\u901a\u8fc7\u6392\u5e8f\u786e\u5b9a\u4f4d\u7f6e\u3002（operate<）<\/p>\n \u4e14vector\u5df2\u7ecf\u91cd\u8f7d\u8fc7(operate <) \u4e86，\u6bd4\u8f83\u65f6，\u81ea\u52a8\u6309\u7167\u5b57\u5178\u5e8f\u6bd4\u8f83\u3002<\/p>\n \u952e\u7684\u8981\u6c42\u662f<\/p>\n 1\u3001\u80fd\u6ee1\u8db3 \u54c8\u5e0c\u51fd\u6570 \u8f6c\u5316\u4e3a \u54c8\u5e0c\u503c\u3002<\/p>\n 2\u3001\u80fd\u901a\u8fc7operate== \u8fdb\u884c\u6bd4\u8f83<\/p>\n \u867d\u7136vector\u4e2d\u5b9a\u4e49\u4e86operate==，\u4f46\u662f\u6ca1\u6709\u5b9a\u4e49，\u54c8\u5e0c\u51fd\u6570\u3002<\/p>\n （\u603b\u7ed3：map\u90fd\u5177\u5907，unordered_map\u4e0d\u80fd\u5c06vector\u8f6c\u5316\u4e3a\u54c8\u5e0c\u51fd\u6570）<\/p>\n \u501f\u9274\u89c6\u9891\u3001\u535a\u5ba2：<\/p>\n 1\u3001[\u7b97\u6cd5]\u8f7b\u677e\u638c\u63e1tarjan\u5f3a\u8fde\u901a\u5206\u91cf\u00a0– \u56fe<\/p>\n \u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb1.7w\u6b21\uff0c\u70b9\u8d5e235\u6b21\uff0c\u6536\u85cf421\u6b21\u3002\u8bb0\u5f55\u5237\u9898\u7684\u8fc7\u7a0b\u3001\u611f\u609f\u3001\u9898\u89e3\u3002\u200b\u200b\u200b\u200b\u200b\u200b\u200b\u5e0c\u671b\u80fd\u5e2e\u5230\uff0c\u90a3\u4e9b\u4e0e\u6211\u4e00\u540c\u524d\u884c\u7684\uff0c\u6765\u81ea\u8fdc\u65b9\u7684\u670b\u53cb\ud83d\ude09_2023\u5e74\u84dd\u6865\u676f\u771f\u9898c\u8bed\u8a00b\u7ec4<\/p>\n","protected":false},"author":2,"featured_media":12768,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[55,174,99,427,729],"topic":[],"class_list":{"0":"post-12779","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","6":"hentry","7":"category-server","8":"tag-c","10":"tag-java","11":"tag-427","12":"tag-729"},"yoast_head":"\n1\u3001\u5411\u91cf：<\/span><\/h6>\n
\u7531\u6765：<\/span><\/h6>\n
\u5b9a\u4e49：<\/span><\/h6>\n
\u200b<\/p>\n\u57fa\u672c\u5c5e\u6027：<\/span><\/h6>\n
\u200b<\/p>\n\u5e38\u89c1\u8fd0\u7b97：<\/span><\/h6>\n
\u200b<\/p>\n2\u3001\u70b9\u4e58：<\/span><\/h6>\n
\u5b9a\u4e49：<\/span><\/h6>\n
\u200b<\/p>\n\u5e94\u7528：<\/span><\/h6>\n
\n
3\u3001\u53c9\u4e58：<\/span><\/h6>\n
\u4e8c\u7ef4：<\/span><\/h6>\n
\u200b<\/p>\n\u4e09\u7ef4：<\/span><\/h6>\n
\u200b\u5e94\u7528：<\/span><\/h6>\n\u200b<\/p>\n\u200b<\/p>\n\u200b<\/p>\n<\/p>\n\u4e8c\u3001\u6d6e\u70b9\u6570\u6bd4\u8f83<\/span><\/h4>\n
\u4e09\u3001map\u4e0eunordered_map<\/span><\/h4>\n
\u56db\u3001\u6781\u5927\u503c（32\u4f4d\u300164\u4f4d\u300116\u8fdb\u5236）<\/span><\/h4>\n
\n
\u4e94\u3001\u5e7f\u641c(BFS)\u4e0e\u6df1\u641c(DFS)<\/span><\/h4>\n
\u5e7f\u641c：<\/h5>\n
\n
\u6df1\u641c：<\/h5>\n
\n
\u516d\u3001vector\u7684\u6bd4\u8f83\u65b9\u6848-map<\/span><\/h4>\n
map\u53ef\u4ee5\u4ee5vector\u4e3a\u952e<\/h5>\n
unordered_map\u4e0d\u53ef\u4ee5\u4ee5vector\u4e3a\u952e<\/h5>\n
\n
\n","protected":false},"excerpt":{"rendered":"