\u3010\u8f93\u5165\u63cf\u8ff0\u3011<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7b2c\u4e00\u884c\u8f93\u5165\u4e24\u4e2a\u6b63\u6574\u6570，\u4ee3\u8868 n \u548c m\u3002<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u63a5\u4e0b\u6765\u7684 n \u884c，\u6bcf\u884c\u8f93\u51fa m \u4e2a\u6b63\u6574\u6570\u3002<\/p>\n
\u3010\u8f93\u51fa\u63cf\u8ff0\u3011<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8bf7\u8f93\u51fa\u4e00\u4e2a\u6574\u6570，\u4ee3\u8868\u4e24\u4e2a\u5b50\u533a\u57df\u5185\u571f\u5730\u603b\u4ef7\u503c\u4e4b\u95f4\u7684\u6700\u5c0f\u5dee\u8ddd\u3002<\/p>\n
\u3010\u8f93\u5165\u793a\u4f8b\u3011<\/p>\n
3 3
\n1 2 3
\n2 1 3
\n1 2 3 <\/p>\n
\u3010\u8f93\u51fa\u793a\u4f8b\u3011<\/p>\n
0 <\/p>\n
\u3010\u63d0\u793a\u4fe1\u606f\u3011<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5982\u679c\u5c06\u533a\u57df\u6309\u7167\u5982\u4e0b\u65b9\u5f0f\u5212\u5206：<\/p>\n
\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124135615-6974cf7f80e6e.png\")
<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4e24\u4e2a\u5b50\u533a\u57df\u5185\u571f\u5730\u603b\u4ef7\u503c\u4e4b\u95f4\u7684\u6700\u5c0f\u5dee\u8ddd\u53ef\u4ee5\u8fbe\u5230 0\u3002<\/p>\n
\u3010\u6570\u636e\u8303\u56f4\u3011 <\/p>\n
- \n
- 1 <= n, m <= 100；<\/li>\n
- n \u548c m \u4e0d\u540c\u65f6\u4e3a 1\u3002<\/li>\n<\/ul>\n
\n\u5c0f\u840c\u65b0\u7684\u5237\u9898\u7b14\u8bb0~<\/p>\n
\u521a\u5f00\u59cb\u770b\u6b64\u9898，\u8bf4\u5b9e\u8bdd\u4e00\u70b9\u90fd\u4e0d\u77e5\u9053\u5728\u8bf4\u4ec0\u4e48，\u6ca1\u7406\u89e3\u610f\u601d\u3002\u601d\u8003\u4e4b\u540e\u53d1\u73b0：<\/p>\n
- \n
- \u5212\u5206\u65b9\u5f0f\u5c31\u662f\u2460\u201c\u4e00\u5200\u5207\u201d\u2461\u53ea\u80fd\u6a2a\u7740\u5207\u6216\u8005\u7ad6\u7740\u5207\u3002<\/li>\n
- \u5206\u6210\u4e24\u4e2a\u533a\u57df\u4e4b\u540e，\u5206\u522b\u8ba1\u7b97\u4e24\u4e2a\u533a\u57df\u7684\u4ef7\u503c（\u5c31\u662f\u4f4d\u7f6e\u4e0a\u7684\u6570\u5b57）\u7684\u603b\u548c，\u8ba1\u7b97\u5dee\u503c\u3002<\/li>\n<\/ul>\n
\n\u4e0b\u9762\u6211\u5c06\u7528\u4f8b\u5b50\u89e3\u91ca\u5206\u6790：<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8bben=3, m=4<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8f93\u5165\u77e9\u9635\u4e3a：<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01 2 3 4<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a02 1 1 1<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a01 2 3 1<\/p>\n
\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124135615-6974cf7fa2940.png\")
<\/p>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u53ef\u4ee5\u770b\u5230，\u6a2a\u7740\u5207（\u6a59\u8272\u7bad\u5934），\u6709 2 \u4e2a\u7a7a\u9699；\u7ad6\u7740\u5207（\u84dd\u8272\u7bad\u5934），\u6709 3 \u4e2a\u7a7a\u9699\u3002\u5982\u679c\u6211\u8fd9\u4e48\u5207：<\/p>\n
\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124135616-6974cf8023028.png\")
<\/p>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u4e0a\u9762\u6a59\u8272\u7684\u90e8\u5206\u7ed9A\u516c\u53f8，\u4e0b\u9762\u84dd\u8272\u7684\u90e8\u5206\u7ed9B\u516c\u53f8（\u5b9e\u9645\u4e0a\u7ed9\u8c01\u65e0\u6240\u8c13\u90fd\u53ef\u4ee5）\u3002<\/p>\n
\n
![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124135616-6974cf803ff75.png\")
<\/p>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u90a3\u4e48A\u516c\u53f8\u7684\u571f\u5730\u603b\u4ef7\u503c\u5c31\u662fsumA，\u5373\u4e0a\u9762\u7684\u90e8\u5206\u52a0\u8d77\u6765；B\u516c\u53f8\u7684\u571f\u5730\u603b\u4ef7\u503c\u5c31\u662fsumB，\u5373\u4e0b\u9762\u7684\u90e8\u5206\u52a0\u8d77\u6765\u3002\u5dee\u503c\u5c31\u662f |sumA-sumB| \u3002<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u90a3\u4e48\u63a5\u4e0b\u6765，\u6211\u4eec\u8981\u505a\u7684，\u5c31\u662f\u904d\u5386\u6240\u6709\u7684\u5212\u5206\u60c5\u51b5，\u627e\u5230\u6700\u5c0f\u5dee\u503c\u3002\u5982\u679c\u6bcf\u4e00\u6b21\u90fd\u4e00\u4e2a\u4e00\u4e2a\u52a0\u6bcf\u4e2a\u4f4d\u7f6e\u7684\u4ef7\u503c，\u592a\u5197\u4f59\u4e86，\u91cd\u590d\u7684\u6b21\u6570\u975e\u5e38\u591a\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898，\u6211\u4eec\u628a\u77e9\u9635\u6bcf\u4e00\u884c，\u6bcf\u4e00\u5217\u7684\u548c\u5148\u8ba1\u7b97\u597d，\u5206\u522b\u5b58\u50a8\u5728\u6570\u7ec4\u4e2d：<\/p>\n
int sumRow[]=new int[n];\/\/\u6bcf\u4e00\u884c\u7684\u603b\u548c
\nint sumLine[]=new int[m];\/\/\u6bcf\u4e00\u5217\u7684\u603b\u548c<\/p>\nfor(int i=0;i<n;i++)
\n{
\n for(int j=0;j<m;j++)
\n {
\n arr[i][j]=sc.nextInt();\/\/arr\u5b58\u50a8\u77e9\u9635\u7684\u503c
\n sumRow[i]+=arr[i][j];
\n }
\n}<\/p>\nfor(int j=0;j<m;j++)
\n{
\n for(int i=0;i<n;i++)
\n {
\n sumLine[j]+=arr[i][j];
\n }
\n} <\/p>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u6211\u4eec\u77e5\u9053，\u7531\u4e8e\u4e00\u5200\u5207，\u6240\u6709\u7684\u60c5\u51b5\u4e0d\u8fc7\u4e8eA\u516c\u53f8\u6709 \u524di\u5217 \u6216 \u524di\u884c \u571f\u5730，B\u516c\u53f8\u6709\u5269\u4e0b\u7684\u571f\u5730，\u81ea\u7136\u800c\u7136\u6211\u4eec\u60f3\u5230\u4e86\u524d\u7f00\u548c\u7684\u65b9\u6cd5，\u8ba1\u7b97\u524di\u884c(\u5217)\u7684\u524d\u7f00\u548c\u3002<\/p>\n
\/\/\u6c42sumRow\u7684\u524d\u7f00\u548c
\nint sumRowPre[]=new int [n+1];
\nsumRowPre[0]=0;\/\/\u521d\u59cb\u5316
\nfor (int i = 0; i < n; i++) {
\n sumRowPre[i+1]=sumRowPre[i]+sumRow[i];
\n}<\/p>\n\/\/\u6c42sumLine\u7684\u524d\u7f00\u548c
\nint sumLinePre[]=new int [m+1];
\nsumLinePre[0]=0;\/\/\u521d\u59cb\u5316
\nfor (int i = 0; i < m; i++) {
\n sumLinePre[i+1]=sumLinePre[i]+sumLine[i];
\n} <\/p>\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u63a5\u4e0b\u6765，\u6211\u4eec\u904d\u5386\u6bcf\u4e00\u79cd\u6a2a\u5207\u548c\u7eb5\u5207\u7684\u60c5\u51b5:<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5c06\u6700\u5c0f\u503cmin\u521d\u59cb\u5316\u4e3a\u5f88\u5927\u7684\u6570Integer.MAX_VALUE，\u8ba1\u7b97sumA\u540e，sumB\u5373\u4e3a\u603b\u548c\u51cf\u53bbsumA，\u5dee\u8ddd\u7684\u8ba1\u7b97\u5373sumA-sumB\u7684\u7edd\u5bf9\u503c，\u5229\u7528Math.min\u65b9\u6cd5\u5f97\u5230\u6700\u5c0f\u7684\u5dee\u8ddd\u3002<\/p>\n
int min=Integer.MAX_VALUE;
\nint gap=0;\/\/\u5dee\u8ddd
\nint sumA=0,sumB=0;
\n\/\/\u904d\u5386\u6a2a\u5207
\nfor(int i=1;i<=n-1;i++)
\n{
\n sumA=sumRowPre[i];
\n sumB=sumRowPre[n]-sumRowPre[i];
\n gap=Math.abs(sumA-sumB);
\n min=Math.min(min,gap);
\n}
\n\/\/\u904d\u5386\u7eb5\u5207
\nfor(int j=1;j<=m-1;j++)
\n{
\n sumA=sumLinePre[j];
\n sumB=sumLinePre[m]-sumLinePre[j];
\n gap=Math.abs(sumA-sumB);
\n min=Math.min(min,gap);
\n} <\/p>\n\u5177\u4f53\u7684\u5b8c\u6574\u89e3\u91ca\u5982\u4e0b：<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8fd9\u6bb5\u4ee3\u7801\u7684\u4e3b\u8981\u529f\u80fd\u662f\u5904\u7406\u4e00\u4e2a\u77e9\u9635，\u76ee\u6807\u662f\u627e\u5230\u4e00\u79cd\u5207\u5272\u65b9\u5f0f（\u6a2a\u5411\u6216\u7eb5\u5411），\u4f7f\u5f97\u5c06\u77e9\u9635\u5206\u6210\u4e24\u90e8\u5206\u540e，\u4e24\u90e8\u5206\u5143\u7d20\u603b\u548c\u7684\u5dee\u503c\u8fbe\u5230\u6700\u5c0f\u3002\u4ee3\u7801\u9996\u5148\u8bfb\u53d6\u77e9\u9635\u7684\u884c\u6570 n \u548c\u5217\u6570 m，\u5e76\u521b\u5efa\u4e00\u4e2a\u76f8\u5e94\u7684\u4e8c\u7ef4\u6570\u7ec4 arr \u6765\u5b58\u50a8\u77e9\u9635\u5143\u7d20\u3002\u5728\u8bfb\u53d6\u8f93\u5165\u6570\u636e\u7684\u8fc7\u7a0b\u4e2d，\u4ee3\u7801\u540c\u65f6\u8ba1\u7b97\u4e86\u6bcf\u4e00\u884c\u7684\u603b\u548c，\u5b58\u50a8\u5728 sumRow \u6570\u7ec4\u4e2d\u3002\u968f\u540e，\u901a\u8fc7\u6784\u5efa sumRow \u7684\u524d\u7f00\u548c\u6570\u7ec4 sumRowPre，\u53ef\u4ee5\u5feb\u901f\u83b7\u53d6\u4efb\u610f\u8fde\u7eed\u884c\u7684\u603b\u548c，\u8fd9\u662f\u901a\u8fc7\u521d\u59cb\u5316\u4e00\u4e2a\u957f\u5ea6\u4e3a n+1 \u7684\u6570\u7ec4，\u5e76\u9012\u63a8\u8ba1\u7b97\u6bcf\u4e2a\u4f4d\u7f6e\u4e4b\u524d\u6240\u6709\u884c\u603b\u548c\u5b9e\u73b0\u7684\u3002<\/p>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u63a5\u7740，\u4ee3\u7801\u901a\u8fc7\u53cc\u5c42\u5faa\u73af\u8ba1\u7b97\u6bcf\u4e00\u5217\u7684\u603b\u548c，\u5b58\u50a8\u5728 sumLine \u6570\u7ec4\u4e2d\u3002\u8fd9\u91cc\u7684\u5916\u5c42\u5faa\u73af\u904d\u5386\u5217，\u5185\u5c42\u5faa\u73af\u904d\u5386\u884c，\u7d2f\u52a0\u540c\u4e00\u5217\u7684\u6240\u6709\u5143\u7d20\u3002\u540c\u6837\u5730，\u4e3a\u5217\u603b\u548c\u6784\u5efa\u4e86\u524d\u7f00\u548c\u6570\u7ec4 sumLinePre，\u957f\u5ea6\u4e3a m+1，\u4ee5\u4fbf\u5feb\u901f\u83b7\u53d6\u4efb\u610f\u8fde\u7eed\u5217\u7684\u603b\u548c\u3002\u5728\u5f97\u5230\u884c\u5217\u7684\u524d\u7f00\u548c\u540e，\u4ee3\u7801\u521d\u59cb\u5316\u6700\u5c0f\u5dee\u503c min \u4e3a\u6574\u578b\u6700\u5927\u503c，\u7136\u540e\u904d\u5386\u6240\u6709\u53ef\u80fd\u7684\u6a2a\u5411\u5207\u5272\u4f4d\u7f6e（\u4ece\u7b2c\u4e00\u884c\u540e\u5230\u5012\u6570\u7b2c\u4e8c\u884c\u540e），\u5229\u7528\u524d\u7f00\u548c\u8ba1\u7b97\u4e0a\u4e0b\u4e24\u90e8\u5206\u7684\u603b\u548c\u5e76\u6c42\u5dee\u503c\u7684\u7edd\u5bf9\u503c，\u66f4\u65b0\u6700\u5c0f\u503c\u3002\u540c\u7406，\u904d\u5386\u6240\u6709\u7eb5\u5411\u5207\u5272\u4f4d\u7f6e（\u4ece\u7b2c\u4e00\u5217\u540e\u5230\u5012\u6570\u7b2c\u4e8c\u5217\u540e），\u8ba1\u7b97\u5de6\u53f3\u4e24\u90e8\u5206\u7684\u603b\u548c\u5dee\u503c\u5e76\u66f4\u65b0\u6700\u5c0f\u503c\u3002\u6700\u7ec8，\u8f93\u51fa\u6240\u6709\u5207\u5272\u65b9\u5f0f\u4e2d\u5f97\u5230\u7684\u6700\u5c0f\u5dee\u503c，\u4ece\u800c\u5b9e\u73b0\u4e86\u9ad8\u6548\u6c42\u89e3\u77e9\u9635\u5206\u5272\u95ee\u9898\u3002\u6574\u4e2a\u7b97\u6cd5\u901a\u8fc7\u524d\u7f00\u548c\u6280\u5de7\u907f\u514d\u4e86\u91cd\u590d\u8ba1\u7b97，\u5c06\u65f6\u95f4\u590d\u6742\u5ea6\u4f18\u5316\u4e3a O(n+m)\u3002<\/p>\n
\n\u6700\u7ec8\u4ee3\u7801\u5982\u4e0b：<\/p>\n
import java.util.Scanner;<\/p>\n
public class Main {
\n public static void main(String[] args) {
\n int n,m;
\n Scanner sc = new Scanner(System.in);
\n n = sc.nextInt();
\n m = sc.nextInt();
\n int arr[][]=new int[n][m];
\n int sumRow[]=new int[n];\/\/\u6bcf\u4e00\u884c\u7684\u603b\u548c
\n int sumLine[]=new int[m];\/\/\u6bcf\u4e00\u5217\u7684\u603b\u548c<\/p>\nfor(int i=0;i<n;i++)
\n {
\n for(int j=0;j<m;j++)
\n {
\n arr[i][j]=sc.nextInt();
\n sumRow[i]+=arr[i][j];
\n }
\n }
\n \/\/\u6c42sumRow\u7684\u524d\u7f00\u548c
\n int sumRowPre[]=new int [n+1];
\n sumRowPre[0]=0;\/\/\u521d\u59cb\u5316
\n for (int i = 0; i < n; i++) {
\n sumRowPre[i+1]=sumRowPre[i]+sumRow[i];
\n }<\/p>\nfor(int j=0;j<m;j++)
\n {
\n for(int i=0;i<n;i++)
\n {
\n sumLine[j]+=arr[i][j];
\n }
\n }
\n \/\/\u6c42sumLine\u7684\u524d\u7f00\u548c
\n int sumLinePre[]=new int [m+1];
\n sumLinePre[0]=0;\/\/\u521d\u59cb\u5316
\n for (int i = 0; i < m; i++) {
\n sumLinePre[i+1]=sumLinePre[i]+sumLine[i];
\n }<\/p>\nint min=Integer.MAX_VALUE;
\n int gap=0;\/\/\u5dee\u8ddd
\n int sumA=0,sumB=0;
\n \/\/\u904d\u5386\u6a2a\u5207
\n for(int i=1;i<=n-1;i++)
\n {
\n sumA=sumRowPre[i];
\n sumB=sumRowPre[n]-sumRowPre[i];
\n gap=Math.abs(sumA-sumB);
\n min=Math.min(min,gap);
\n }
\n \/\/\u904d\u5386\u7eb5\u5207
\n for(int j=1;j<=m-1;j++)
\n {
\n sumA=sumLinePre[j];
\n sumB=sumLinePre[m]-sumLinePre[j];
\n gap=Math.abs(sumA-sumB);
\n min=Math.min(min,gap);
\n }
\n System.out.println(min);
\n }
\n}<\/p>\n","protected":false},"excerpt":{"rendered":"\u9898\u76ee\u94fe\u63a5 https:\/\/kamacoder.com\/problempage.php?pid1044
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