{"id":42983,"date":"2025-06-10T13:05:52","date_gmt":"2025-06-10T05:05:52","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/42983.html"},"modified":"2025-06-10T13:05:52","modified_gmt":"2025-06-10T05:05:52","slug":"2025-05-21%e5%8d%8e%e4%b8%ba%e6%9a%91%e6%9c%9f%e5%ae%9e%e4%b9%a0%e6%9c%ba%e8%af%95%e7%9c%9f%e9%a2%98%e3%80%90%e4%ba%91%e8%ae%a1%e7%ae%97%e6%9c%8d%e5%8a%a1%e5%99%a8gpu%e5%88%86%e9%85%8d%e3%80%91java-py","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/42983.html","title":{"rendered":"2025.05.21\u534e\u4e3a\u6691\u671f\u5b9e\u4e60\u673a\u8bd5\u771f\u9898\u3010\u4e91\u8ba1\u7b97\u670d\u52a1\u5668GPU\u5206\u914d\u3011Java\/Python\/C++\/JS\/C \u5b9e\u73b0"},"content":{"rendered":"

\u76ee\u5f55<\/p>\n

\u9898\u76ee<\/p>\n

\u601d\u8def<\/p>\n

Code<\/p>\n

\n

\u9898\u76ee<\/h3>\n

\u67d0\u4e91\u8ba1\u7b97\u670d\u52a1\u5546\u4e3a\u5ba2\u6237\u63d0\u4f9b M \u6570\u91cf GPU \u6838\u6570\u7684 GPU \u5206\u65f6\u79df\u7528\u670d\u52a1，\u79df\u7528\u8ba1\u8d39\u89c4\u5219\u4e3a:\u5141\u8bb8\u5ba2\u6237\u5728\u6bcf\u4e2a\u65f6\u95f4\u5355\u4f4d\u6309\u9700\u79df\u7528\u4e0d\u540c\u7684 GPU \u6838\u6570，\u6bcf\u4e2a\u65f6\u95f4\u5355\u4f4d\u6bcf\u4e2a GPU \u6838\u6570\u7684\u8d39\u7528\u4e3a R\u3002 \u73b0\u6709 N \u4e2a\u5ba2\u6237，\u6bcf\u4e2a\u5ba2\u6237\u6709\u591a\u4e2a\u4e0d\u91cd\u53e0\u65f6\u95f4\u6bb5\u79df\u7528\u4e00\u5b9a\u6570\u91cf\u7684 GPU \u6838\u6570\u7684\u79df\u7528\u9700\u6c42\u3002\u5bf9\u4e8e\u6709\u79df\u7528\u9700\u6c42\u7684\u5ba2\u6237，\u670d\u52a1\u5546\u53ef\u9009\u62e9\u7b7e\u7ea6\u6216\u4e0d\u7b7e\u7ea6，\u82e5\u9009\u62e9\u7b7e\u7ea6\u5219\u9700\u8981\u6ee1\u8db3\u79df\u7528\u9700\u6c42\u4e2d\u7684\u6240\u6709\u65f6\u95f4\u6bb5\u6240\u9700\u7684 GPU \u6838\u6570\u3002 \u4e3a\u4e86\u5b9e\u73b0\u79df\u91d1\u6700\u5927\u5316\u6536\u76ca，\u670d\u52a1\u5546\u9700\u5728\u786e\u4fdd\u4efb\u610f\u65f6\u95f4\u5355\u4f4d\u5185\u5206\u914d\u7684 GPU \u6838\u6570\u603b\u6570\u4e0d\u8d85\u8fc7 M \u7684\u57fa\u7840\u4e0a，\u9009\u62e9\u4e0e\u54ea\u4e9b\u5ba2\u6237\u7b7e\u7ea6\u79df\u7528\u534f\u8bae\u3002 \u8bf7\u8f93\u51fa\u79df\u91d1\u6700\u5927\u5316\u6536\u76ca\u4e0b\u7684\u79df\u91d1\u6700\u5927\u503c. \u8f93\u5165\u63cf\u8ff0 \u7b2c\u4e00\u884c\u4e3a M\u3001N\u3001R\u7684\u6570\u503c，\u4f9d\u6b21\u7528\u7a7a\u683c\u9694\u5f00，\u8f93\u5165\u683c\u5f0f\u4e3a M N R \u4ece\u7b2c\u4e8c\u884c\u5f00\u59cb，\u6bcf\u884c\u4e3a\u4e00\u4e2a\u5ba2\u6237\u7684\u79df\u7528\u9700\u6c42，\u5171 N \u884c\u3002\u6bcf\u884c\u76849\u7b2c\u4e00\u4e2a\u6570\u5b57\u4e3a\u8be5\u5ba2\u6237\u7aef\u7684\u65f6\u95f4\u6bb5\u4e2a\u6570timeSegmentNum ，\u540e\u7eed\u4e3a timeSegmentNum \u4e2a\u65f6\u95f4\u6bb5\u53ca\u6240\u9700\u7684 GPU \u6838\u6570，\u65f6\u95f4\u6bb5\u4e2a\u6570timeSegmentNum \u4e0e\u65f6\u95f4\u6bb5\u4e4b\u95f4\u3001\u591a\u4e2a\u65f6\u95f4\u6bb5\u4e4b\u95f4\u5747\u7528\u7a7a\u683c\u5206\u5272\u3002\u540c\u4e00\u4e2a\u5ba2\u6237\u591a\u4e2a\u65f6\u95f4\u6bb5\u4e0d\u4f1a\u91cd\u53e0\u3002\u540c\u4e00\u4e2a\u5ba2\u6237\u591a\u4e2a\u65f6\u95f4\u6bb5\u5df2\u6309\u8d77\u59cb\u65f6\u95f4\u589e\u5e8f\u6392\u5e8f\u7ed9\u51fa \u6bcf\u4e2a\u65f6\u95f4\u6bb5\u53ca\u6240\u9700\u7684GPU\u6838\u6570, \u683c\u5f0f\u4e3a star \u8d77\u59cb\u65f6\u95f4\u7f16\u53f7:end \u7ed3\u675f\u65f6\u95f4\u7f16\u53f7:needCores \u8be5\u65f6\u95f4\u6bb5\u6240\u9700\u7684 GPU \u6838\u6570 \u53d8\u91cf\u53d6\u503c\u8303\u56f4 1 <= M <= 100000 1 <= N <= 10 1 <= R<= 10 0 <= start <= end <= 109 1<= needCores <= 10000 1 <=timeSegmentNum <= 100 \u5ba2\u6237\u7684\u79df\u7528\u9700\u6c42\u6837\u4f8b20:0:13:6:10 \u7684\u542b\u4e49\u662f\u5171\u67092\u4e2a\u65f6\u95f4\u6bb5,0:0:1\u8868\u793a\u5728\u7b2c0\u4e2a\u65f6\u95f4\u5355\u4f4d\u9700\u89811\u4e2aGPU\u6838，3:6:10 \u8868\u793a\u5728\u4ece 3 \u52306\u7684\u65f6\u95f4\u5355\u4f4d(\u5305\u542b3\u548c6)\u6bcf\u4e2a\u65f6\u95f4\u5355\u4f4d\u5747\u9700 10 \u4e2aGPU \u6838.<\/p>\n

\u8f93\u51fa\u63cf\u8ff0 \u603b\u79df\u91d1\u6700\u5927\u503c\u3002 \u5982\u679c\u4efb\u610f\u4e00\u4e2a\u5ba2\u6237\u7684\u9700\u6c42\u90fd\u65e0\u6cd5\u6ee1\u8db3，\u5219\u8f93\u51fa 0<\/p>\n

\u793a\u4f8b1： \u8f93\u5165： 10 3 2 2 0:8:5 9:23:10 2 0:8:5 9:18:10 1 0:8:5<\/p>\n

\u8f93\u51fa： 480 \u8bf4\u660e： \u51713\u4e2a\u5ba2\u6237\u3002 \u7531\u4e8e\u7b2c\u4e00\u4e2a\u5ba2\u6237\u548c\u7b2c\u4e09\u4e2a\u5ba2\u6237\u5728 9:18 \u65f6\u95f4\u8303\u56f4\u6bb5\u5185\u603b\u6838\u6570\u4e3a 20 \u8d85\u8fc7\u4e86 10，\u6240\u4ee5\u65e0\u6cd5\u540c\u65f6\u63a5\u53d7\u6700\u5927\u65e5\u79df\u91d1\u65b9\u6848\u4e3a:\u63a5\u7eb3\u7b2c\u4e00\u4e2a\u5ba2\u6237\u548c\u7b2c\u4e09\u4e2a\u5ba2\u6237\u7684\u9700\u6c42\u3002 \u7b2c\u4e00\u4e2a\u5ba2\u6237\u5171\u9700\u8981\u7684 GPU \u6838\u6570\u4e3a9*5+ 15*10 = 195 \u7b2c\u4e09\u4e2a\u6bcf\u6237\u5171\u9700\u8981\u7684 GPU \u6838\u6570\u4e3a 9*5 = 45 \u6700\u5927\u65e5\u79df\u91d1\u503c\u4e3a(195 +45)*2= 480<\/p>\n

\u793a\u4f8b2： \u8f93\u5165： 10 2 1 1 0:3:6 1 3:10:6<\/p>\n

\u8f93\u51fa： 48 \u8bf4\u660e： \u6700\u5927 GPU \u6838\u6570\u4e3a 10 ，\u5171 2 \u4e2a\u5ba2\u6237\u3002 \u7b2c\u4e00\u4e2a\u5ba2\u6237\u548c\u7b2c\u4e8c\u4e2a\u5ba2\u6237\u5728 3 \u65f6\u95f4\u70b9，\u603b\u6838\u6570\u4e3a 12 \u8d85\u8fc7\u4e86 10 ，\u6240\u4ee5\u65e0\u6cd5\u540c\u65f6\u63a5\u53d7 \u7b2c\u4e00\u4e2a\u5ba2\u6237\u5171\u9700\u8981\u7684 GPU \u6838\u6570\u4e3a4*6=24 \u7b2c\u4e09\u4e2a\u6bcf\u6237\u5171\u9700\u8981\u7684 GPU \u6838\u6570\u4e3a8*6=48 \u4e3a\u6ee1\u8db3\u6700\u5927\u79df\u91d1，\u91c7\u7eb3\u7b2c\u4e8c\u4e2a\u5ba2\u6237，\u6700\u5927\u65e5\u79df\u91d1\u503c\u4e3a 48*1=48<\/p>\n

\"\"<\/h2>\n<\/p>\n

Python<\/h2>\n

def calculate_max_rent(M, N, R, customers):
\n """
\n \u8ba1\u7b97\u6700\u5927\u79df\u91d1\u6536\u76ca
\n :param M: GPU\u603b\u6838\u6570
\n :param N: \u5ba2\u6237\u6570\u91cf
\n :param R: \u5355\u4f4d\u79df\u91d1
\n :param customers: \u5ba2\u6237\u9700\u6c42\u5217\u8868
\n :return: \u6700\u5927\u79df\u91d1
\n """
\n # \u5b58\u50a8\u6240\u6709\u65f6\u95f4\u70b9\u7684GPU\u4f7f\u7528\u60c5\u51b5
\n time_usage = {}
\n max_rent = [0] # \u4f7f\u7528\u5217\u8868\u5b58\u50a8\u6700\u5927\u79df\u91d1，\u4fbf\u4e8e\u5728\u9012\u5f52\u4e2d\u4fee\u6539<\/p>\n

def check_valid(customer_idx):
\n """
\n \u68c0\u67e5\u6dfb\u52a0\u67d0\u4e2a\u5ba2\u6237\u540e\u662f\u5426\u8d85\u8fc7GPU\u9650\u5236
\n :param customer_idx: \u5ba2\u6237\u7d22\u5f15
\n :return: \u662f\u5426\u6709\u6548
\n """
\n for segment in customers[customer_idx]:
\n start, end, cores = segment
\n for t in range(start, end + 1):
\n if time_usage.get(t, 0) + cores > M:
\n return False
\n return True<\/p>\n

def add_customer(customer_idx):
\n """
\n \u6dfb\u52a0\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n :param customer_idx: \u5ba2\u6237\u7d22\u5f15
\n """
\n rent = 0
\n for segment in customers[customer_idx]:
\n start, end, cores = segment
\n for t in range(start, end + 1):
\n time_usage[t] = time_usage.get(t, 0) + cores
\n rent += (end – start + 1) * cores
\n return rent<\/p>\n

def remove_customer(customer_idx):
\n """
\n \u79fb\u9664\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n :param customer_idx: \u5ba2\u6237\u7d22\u5f15
\n """
\n for segment in customers[customer_idx]:
\n start, end, cores = segment
\n for t in range(start, end + 1):
\n time_usage[t] = time_usage.get(t, 0) – cores<\/p>\n

def backtrack(idx, current_rent):
\n """
\n \u56de\u6eaf\u51fd\u6570
\n :param idx: \u5f53\u524d\u5904\u7406\u7684\u5ba2\u6237\u7d22\u5f15
\n :param current_rent: \u5f53\u524d\u79df\u91d1
\n """
\n if idx == N:
\n max_rent[0] = max(max_rent[0], current_rent)
\n return<\/p>\n

# \u4e0d\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n backtrack(idx + 1, current_rent)<\/p>\n

# \u5c1d\u8bd5\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n if check_valid(idx):
\n rent = add_customer(idx)
\n backtrack(idx + 1, current_rent + rent)
\n remove_customer(idx)<\/p>\n

# \u89e3\u6790\u8f93\u5165\u6570\u636e
\n parsed_customers = []
\n for customer in customers:
\n segments = []
\n num_segments = customer[0]
\n i = 1
\n while i < len(customer):
\n start, end, cores = map(int, customer[i].split(':'))
\n segments.append((start, end, cores))
\n i += 1
\n parsed_customers.append(segments)<\/p>\n

# \u5f00\u59cb\u56de\u6eaf
\n backtrack(0, 0)<\/p>\n

return max_rent[0] * R<\/p>\n

def parse_input():
\n """
\n \u89e3\u6790\u8f93\u5165\u6570\u636e
\n \u8fd4\u56de：M, N, R \u548c\u5ba2\u6237\u9700\u6c42\u5217\u8868
\n """
\n # \u8bfb\u53d6\u7b2c\u4e00\u884c
\n M, N, R = map(int, input().split())<\/p>\n

# \u8bfb\u53d6\u5ba2\u6237\u9700\u6c42
\n customers = []
\n for _ in range(N):
\n # \u89e3\u6790\u6bcf\u884c\u6570\u636e
\n line = input().split()
\n num_segments = int(line[0]) # \u7b2c\u4e00\u4e2a\u6570\u5b57\u662f\u65f6\u95f4\u6bb5\u6570\u91cf<\/p>\n

# \u89e3\u6790\u8be5\u5ba2\u6237\u7684\u6240\u6709\u65f6\u95f4\u6bb5
\n segments = []
\n for i in range(1, num_segments + 1):
\n start, end, cores = map(int, line[i].split(':'))
\n segments.append((start, end, cores))<\/p>\n

customers.append(segments)<\/p>\n

return M, N, R, customers<\/p>\n

def main():
\n # \u89e3\u6790\u8f93\u5165
\n M, N, R, customers = parse_input()<\/p>\n

# \u8ba1\u7b97\u6700\u5927\u79df\u91d1
\n result = calculate_max_rent(M, N, R, customers)
\n print(result)<\/p>\n

if __name__ == "__main__":
\n main() <\/p>\n

\u00a0Java<\/h2>\n

import java.util.*;<\/p>\n

public class Main {
\n static int M, N, R;
\n static List<List<Segment>> customers;
\n static Map<Integer, Integer> timeUsage;
\n static int maxRent;<\/p>\n

\/\/ \u5b9a\u4e49\u65f6\u95f4\u6bb5\u7c7b
\n static class Segment {
\n int start, end, cores;<\/p>\n

Segment(int start, int end, int cores) {
\n this.start = start;
\n this.end = end;
\n this.cores = cores;
\n }
\n }<\/p>\n

public static void main(String[] args) {
\n Scanner scanner = new Scanner(System.in);<\/p>\n

\/\/ \u8bfb\u53d6\u57fa\u672c\u53c2\u6570
\n M = scanner.nextInt();
\n N = scanner.nextInt();
\n R = scanner.nextInt();
\n scanner.nextLine(); \/\/ \u6d88\u8017\u6362\u884c\u7b26<\/p>\n

\/\/ \u521d\u59cb\u5316\u6570\u636e\u7ed3\u6784
\n customers = new ArrayList<>();
\n timeUsage = new HashMap<>();
\n maxRent = 0;<\/p>\n

\/\/ \u8bfb\u53d6\u5ba2\u6237\u9700\u6c42
\n for (int i = 0; i < N; i++) {
\n String[] parts = scanner.nextLine().split(" ");
\n int numSegments = Integer.parseInt(parts[0]);
\n List<Segment> customerSegments = new ArrayList<>();<\/p>\n

\/\/ \u89e3\u6790\u6bcf\u4e2a\u65f6\u95f4\u6bb5
\n for (int j = 1; j <= numSegments; j++) {
\n String[] segmentParts = parts[j].split(":");
\n int start = Integer.parseInt(segmentParts[0]);
\n int end = Integer.parseInt(segmentParts[1]);
\n int cores = Integer.parseInt(segmentParts[2]);
\n customerSegments.add(new Segment(start, end, cores));
\n }
\n customers.add(customerSegments);
\n }<\/p>\n

\/\/ \u5f00\u59cb\u56de\u6eaf\u8ba1\u7b97
\n backtrack(0, 0);<\/p>\n

\/\/ \u8f93\u51fa\u7ed3\u679c
\n System.out.println(maxRent * R);<\/p>\n

scanner.close();
\n }<\/p>\n

\/\/ \u68c0\u67e5\u662f\u5426\u53ef\u4ee5\u6dfb\u52a0\u5ba2\u6237
\n static boolean checkValid(int customerIdx) {
\n for (Segment seg : customers.get(customerIdx)) {
\n for (int t = seg.start; t <= seg.end; t++) {
\n if (timeUsage.getOrDefault(t, 0) + seg.cores > M) {
\n return false;
\n }
\n }
\n }
\n return true;
\n }<\/p>\n

\/\/ \u6dfb\u52a0\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf\u5e76\u8fd4\u56de\u79df\u91d1
\n static int addCustomer(int customerIdx) {
\n int rent = 0;
\n for (Segment seg : customers.get(customerIdx)) {
\n for (int t = seg.start; t <= seg.end; t++) {
\n timeUsage.put(t, timeUsage.getOrDefault(t, 0) + seg.cores);
\n }
\n rent += (seg.end – seg.start + 1) * seg.cores;
\n }
\n return rent;
\n }<\/p>\n

\/\/ \u79fb\u9664\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n static void removeCustomer(int customerIdx) {
\n for (Segment seg : customers.get(customerIdx)) {
\n for (int t = seg.start; t <= seg.end; t++) {
\n timeUsage.put(t, timeUsage.get(t) – seg.cores);
\n }
\n }
\n }<\/p>\n

\/\/ \u56de\u6eaf\u51fd\u6570
\n static void backtrack(int idx, int currentRent) {
\n if (idx == N) {
\n maxRent = Math.max(maxRent, currentRent);
\n return;
\n }<\/p>\n

\/\/ \u4e0d\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n backtrack(idx + 1, currentRent);<\/p>\n

\/\/ \u5c1d\u8bd5\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n if (checkValid(idx)) {
\n int rent = addCustomer(idx);
\n backtrack(idx + 1, currentRent + rent);
\n removeCustomer(idx);
\n }
\n }
\n} <\/p>\n

\u00a0C++<\/h2>\n

#include <iostream>
\n#include <vector>
\n#include <unordered_map>
\n#include <string>
\n#include <sstream>
\nusing namespace std;<\/p>\n

\/\/ \u5b9a\u4e49\u65f6\u95f4\u6bb5\u7ed3\u6784
\nstruct Segment {
\n int start, end, cores;
\n Segment(int s, int e, int c) : start(s), end(e), cores(c) {}
\n};<\/p>\n

class GPURental {
\nprivate:
\n int M, N, R;
\n vector<vector<Segment>> customers;
\n unordered_map<int, int> timeUsage;
\n int maxRent;<\/p>\n

\/\/ \u68c0\u67e5\u662f\u5426\u53ef\u4ee5\u6dfb\u52a0\u5ba2\u6237
\n bool checkValid(int customerIdx) {
\n for (const auto& seg : customers[customerIdx]) {
\n for (int t = seg.start; t <= seg.end; t++) {
\n if (timeUsage[t] + seg.cores > M) {
\n return false;
\n }
\n }
\n }
\n return true;
\n }<\/p>\n

\/\/ \u6dfb\u52a0\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n int addCustomer(int customerIdx) {
\n int rent = 0;
\n for (const auto& seg : customers[customerIdx]) {
\n for (int t = seg.start; t <= seg.end; t++) {
\n timeUsage[t] += seg.cores;
\n }
\n rent += (seg.end – seg.start + 1) * seg.cores;
\n }
\n return rent;
\n }<\/p>\n

\/\/ \u79fb\u9664\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n void removeCustomer(int customerIdx) {
\n for (const auto& seg : customers[customerIdx]) {
\n for (int t = seg.start; t <= seg.end; t++) {
\n timeUsage[t] -= seg.cores;
\n }
\n }
\n }<\/p>\n

\/\/ \u56de\u6eaf\u51fd\u6570
\n void backtrack(int idx, int currentRent) {
\n if (idx == N) {
\n maxRent = max(maxRent, currentRent);
\n return;
\n }<\/p>\n

\/\/ \u4e0d\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n backtrack(idx + 1, currentRent);<\/p>\n

\/\/ \u5c1d\u8bd5\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n if (checkValid(idx)) {
\n int rent = addCustomer(idx);
\n backtrack(idx + 1, currentRent + rent);
\n removeCustomer(idx);
\n }
\n }<\/p>\n

public:
\n GPURental() : maxRent(0) {}<\/p>\n

\/\/ \u89e3\u6790\u8f93\u5165\u5e76\u6c42\u89e3
\n int solve() {
\n \/\/ \u8bfb\u53d6\u57fa\u672c\u53c2\u6570
\n cin >> M >> N >> R;
\n cin.ignore(); \/\/ \u5ffd\u7565\u6362\u884c\u7b26<\/p>\n

\/\/ \u8bfb\u53d6\u5ba2\u6237\u9700\u6c42
\n for (int i = 0; i < N; i++) {
\n string line;
\n getline(cin, line);
\n istringstream iss(line);<\/p>\n

int numSegments;
\n iss >> numSegments;<\/p>\n

vector<Segment> customerSegments;
\n string segmentStr;<\/p>\n

\/\/ \u8bfb\u53d6\u6bcf\u4e2a\u65f6\u95f4\u6bb5
\n for (int j = 0; j < numSegments; j++) {
\n iss >> segmentStr;
\n size_t pos1 = segmentStr.find(':');
\n size_t pos2 = segmentStr.find(':', pos1 + 1);<\/p>\n

int start = stoi(segmentStr.substr(0, pos1));
\n int end = stoi(segmentStr.substr(pos1 + 1, pos2 – pos1 – 1));
\n int cores = stoi(segmentStr.substr(pos2 + 1));<\/p>\n

customerSegments.emplace_back(start, end, cores);
\n }
\n customers.push_back(customerSegments);
\n }<\/p>\n

\/\/ \u5f00\u59cb\u56de\u6eaf\u8ba1\u7b97
\n backtrack(0, 0);<\/p>\n

return maxRent * R;
\n }
\n};<\/p>\n

int main() {
\n GPURental solver;
\n cout << solver.solve() << endl;
\n return 0;
\n} <\/p>\n

\u00a0JavaScript<\/h2>\n

const readline = require('readline');<\/p>\n

class GPURental {
\n constructor() {
\n this.M = 0;
\n this.N = 0;
\n this.R = 0;
\n this.customers = [];
\n this.timeUsage = new Map();
\n this.maxRent = 0;
\n }<\/p>\n

\/\/ \u68c0\u67e5\u662f\u5426\u53ef\u4ee5\u6dfb\u52a0\u5ba2\u6237
\n checkValid(customerIdx) {
\n for (const segment of this.customers[customerIdx]) {
\n for (let t = segment.start; t <= segment.end; t++) {
\n if ((this.timeUsage.get(t) || 0) + segment.cores > this.M) {
\n return false;
\n }
\n }
\n }
\n return true;
\n }<\/p>\n

\/\/ \u6dfb\u52a0\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n addCustomer(customerIdx) {
\n let rent = 0;
\n for (const segment of this.customers[customerIdx]) {
\n for (let t = segment.start; t <= segment.end; t++) {
\n this.timeUsage.set(t, (this.timeUsage.get(t) || 0) + segment.cores);
\n }
\n rent += (segment.end – segment.start + 1) * segment.cores;
\n }
\n return rent;
\n }<\/p>\n

\/\/ \u79fb\u9664\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\n removeCustomer(customerIdx) {
\n for (const segment of this.customers[customerIdx]) {
\n for (let t = segment.start; t <= segment.end; t++) {
\n this.timeUsage.set(t, (this.timeUsage.get(t) || 0) – segment.cores);
\n }
\n }
\n }<\/p>\n

\/\/ \u56de\u6eaf\u51fd\u6570
\n backtrack(idx, currentRent) {
\n if (idx === this.N) {
\n this.maxRent = Math.max(this.maxRent, currentRent);
\n return;
\n }<\/p>\n

\/\/ \u4e0d\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n this.backtrack(idx + 1, currentRent);<\/p>\n

\/\/ \u5c1d\u8bd5\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n if (this.checkValid(idx)) {
\n const rent = this.addCustomer(idx);
\n this.backtrack(idx + 1, currentRent + rent);
\n this.removeCustomer(idx);
\n }
\n }<\/p>\n

\/\/ \u89e3\u6790\u8f93\u5165\u5e76\u6c42\u89e3
\n solve(input) {
\n const lines = input.trim().split('\\\\n');<\/p>\n

\/\/ \u89e3\u6790\u7b2c\u4e00\u884c
\n [this.M, this.N, this.R] = lines[0].split(' ').map(Number);<\/p>\n

\/\/ \u89e3\u6790\u5ba2\u6237\u9700\u6c42
\n for (let i = 1; i <= this.N; i++) {
\n const parts = lines[i].split(' ');
\n const numSegments = parseInt(parts[0]);
\n const segments = [];<\/p>\n

\/\/ \u89e3\u6790\u6bcf\u4e2a\u65f6\u95f4\u6bb5
\n for (let j = 1; j <= numSegments; j++) {
\n const [start, end, cores] = parts[j].split(':').map(Number);
\n segments.push({ start, end, cores });
\n }
\n this.customers.push(segments);
\n }<\/p>\n

\/\/ \u5f00\u59cb\u56de\u6eaf\u8ba1\u7b97
\n this.backtrack(0, 0);<\/p>\n

return this.maxRent * this.R;
\n }
\n}<\/p>\n

\/\/ \u5904\u7406\u8f93\u5165
\nlet inputLines = [];
\nconst rl = readline.createInterface({
\n input: process.stdin,
\n output: process.stdout
\n});<\/p>\n

rl.on('line', (line) => {
\n inputLines.push(line);
\n});<\/p>\n

rl.on('close', () => {
\n const solver = new GPURental();
\n console.log(solver.solve(inputLines.join('\\\\n')));
\n}); <\/p>\n

\u00a0C\u8bed\u8a00<\/h2>\n

#include <stdio.h>
\n#include <stdlib.h>
\n#include <string.h><\/p>\n

#define MAX_N 10
\n#define MAX_SEGMENTS 100
\n#define MAX_LINE 1024<\/p>\n

\/\/ \u5b9a\u4e49\u65f6\u95f4\u6bb5\u7ed3\u6784
\nstruct Segment {
\n int start;
\n int end;
\n int cores;
\n};<\/p>\n

\/\/ \u5b9a\u4e49\u5ba2\u6237\u7ed3\u6784
\nstruct Customer {
\n int numSegments;
\n struct Segment segments[MAX_SEGMENTS];
\n};<\/p>\n

\/\/ \u5168\u5c40\u53d8\u91cf
\nint M, N, R;
\nstruct Customer customers[MAX_N];
\nint* timeUsage = NULL; \/\/ \u4f7f\u7528\u52a8\u6001\u5206\u914d\u7684\u6570\u7ec4
\nint maxRent = 0;
\nint maxTime = 0; \/\/ \u8ddf\u8e2a\u6700\u5927\u65f6\u95f4\u503c<\/p>\n

\/\/ \u68c0\u67e5\u662f\u5426\u53ef\u4ee5\u6dfb\u52a0\u5ba2\u6237
\nint checkValid(int customerIdx) {
\n struct Customer* customer = &customers[customerIdx];
\n for (int i = 0; i < customer->numSegments; i++) {
\n struct Segment* seg = &customer->segments[i];
\n for (int t = seg->start; t <= seg->end; t++) {
\n if (timeUsage[t] + seg->cores > M) {
\n return 0;
\n }
\n }
\n }
\n return 1;
\n}<\/p>\n

\/\/ \u6dfb\u52a0\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\nint addCustomer(int customerIdx) {
\n int rent = 0;
\n struct Customer* customer = &customers[customerIdx];
\n for (int i = 0; i < customer->numSegments; i++) {
\n struct Segment* seg = &customer->segments[i];
\n for (int t = seg->start; t <= seg->end; t++) {
\n timeUsage[t] += seg->cores;
\n }
\n rent += (seg->end – seg->start + 1) * seg->cores;
\n }
\n return rent;
\n}<\/p>\n

\/\/ \u79fb\u9664\u5ba2\u6237\u7684GPU\u4f7f\u7528\u91cf
\nvoid removeCustomer(int customerIdx) {
\n struct Customer* customer = &customers[customerIdx];
\n for (int i = 0; i < customer->numSegments; i++) {
\n struct Segment* seg = &customer->segments[i];
\n for (int t = seg->start; t <= seg->end; t++) {
\n timeUsage[t] -= seg->cores;
\n }
\n }
\n}<\/p>\n

\/\/ \u56de\u6eaf\u51fd\u6570
\nvoid backtrack(int idx, int currentRent) {
\n if (idx == N) {
\n if (currentRent > maxRent) {
\n maxRent = currentRent;
\n }
\n return;
\n }<\/p>\n

\/\/ \u4e0d\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n backtrack(idx + 1, currentRent);<\/p>\n

\/\/ \u5c1d\u8bd5\u9009\u62e9\u5f53\u524d\u5ba2\u6237
\n if (checkValid(idx)) {
\n int rent = addCustomer(idx);
\n backtrack(idx + 1, currentRent + rent);
\n removeCustomer(idx);
\n }
\n}<\/p>\n

\/\/ \u89e3\u6790\u65f6\u95f4\u6bb5\u5b57\u7b26\u4e32
\nvoid parseSegment(char* str, struct Segment* segment) {
\n char* start = str;
\n char* end = strchr(str, ':');
\n *end = '\\\\0';
\n segment->start = atoi(start);<\/p>\n

start = end + 1;
\n end = strchr(start, ':');
\n *end = '\\\\0';
\n segment->end = atoi(start);<\/p>\n

start = end + 1;
\n segment->cores = atoi(start);<\/p>\n

\/\/ \u66f4\u65b0\u6700\u5927\u65f6\u95f4\u503c
\n if (segment->end > maxTime) {
\n maxTime = segment->end;
\n }
\n}<\/p>\n

int main() {
\n char line[MAX_LINE];<\/p>\n

\/\/ \u8bfb\u53d6\u57fa\u672c\u53c2\u6570
\n scanf("%d %d %d\\\\n", &M, &N, &R);<\/p>\n

\/\/ \u8bfb\u53d6\u5ba2\u6237\u9700\u6c42
\n for (int i = 0; i < N; i++) {
\n fgets(line, MAX_LINE, stdin);
\n char* token = strtok(line, " \\\\n");
\n customers[i].numSegments = atoi(token);<\/p>\n

for (int j = 0; j < customers[i].numSegments; j++) {
\n token = strtok(NULL, " \\\\n");
\n parseSegment(token, &customers[i].segments[j]);
\n }
\n }<\/p>\n

\/\/ \u5206\u914d\u65f6\u95f4\u4f7f\u7528\u6570\u7ec4
\n timeUsage = (int*)calloc(maxTime + 1, sizeof(int));
\n if (timeUsage == NULL) {
\n printf("Memory allocation failed\\\\n");
\n return 1;
\n }<\/p>\n

\/\/ \u5f00\u59cb\u56de\u6eaf\u8ba1\u7b97
\n backtrack(0, 0);<\/p>\n

\/\/ \u8f93\u51fa\u7ed3\u679c
\n printf("%d\\\\n", maxRent * R);<\/p>\n

\/\/ \u91ca\u653e\u5185\u5b58
\n free(timeUsage);<\/p>\n

return 0;
\n} <\/p>\n

\u3010\u534e\u4e3aod\u673a\u8bd5\u771f\u9898Python+JS+Java\u5408\u96c6\u3011\u3010\u8d85\u503c\u4f18\u60e0\u3011：Py\/JS\/Java\u5408\u96c6<\/p>\n

\u3010\u534e\u4e3aod\u673a\u8bd5\u771f\u9898Python\u3011：Python\u771f\u9898\u9898\u5e93<\/p>\n

\u3010\u534e\u4e3aod\u673a\u8bd5\u771f\u9898JavaScript\u3011：JavaScript\u771f\u9898\u9898\u5e93<\/p>\n

\u3010\u534e\u4e3aod\u673a\u8bd5\u771f\u9898Java\u3011：Java\u771f\u9898\u9898\u5e93<\/p>\n

\u3010\u534e\u4e3aod\u673a\u8bd5\u771f\u9898C++\u3011：C++\u771f\u9898\u9898\u5e93<\/p>\n

\u3010\u534e\u4e3aod\u673a\u8bd5\u771f\u9898C\u8bed\u8a00\u3011：C\u8bed\u8a00\u771f\u9898\u9898\u5e93<\/p>\n

\u3010\u534e\u4e3aod\u9762\u8bd5\u624b\u6495\u4ee3\u7801\u9898\u5e93\u3011：\u9762\u8bd5\u624b\u6495\u4ee3\u7801\u9898\u5e93<\/p>\n

\u3010\u534e\u4e3a\u6821\u62db&\u5b9e\u4e60\u673a\u8bd5\u9762\u8bd5\u4ea4\u6d41\u7fa4：1048120678\u3011<\/p>\n","protected":false},"excerpt":{"rendered":"

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