提出 #73227624
ソースコード 拡げる
#include <bits/stdc++.h>
using namespace std;
int N, M;
vector<long long> W, C, remC;
vector<long long> suffixW; // suffixW[i] = sum_{k=i..N-1} W[k]
bool dfs(int i, long long remSum) {
if (i == N) return true;
// 减枝 1:剩余总容量 < 剩余总重量 => 不可能
if (remSum < suffixW[i]) return false;
long long w = W[i];
// 减枝 2:如果当前包裹放不进任何车,直接失败
bool anyFit = false;
for (int j = 0; j < M; j++) {
if (remC[j] >= w) { anyFit = true; break; }
}
if (!anyFit) return false;
// 减枝 3:同层对称性(相同剩余容量的车只试一次)
unordered_set<long long> seen;
seen.reserve(M * 2);
for (int j = 0; j < M; j++) {
if (remC[j] < w) continue;
if (seen.count(remC[j])) continue;
seen.insert(remC[j]);
remC[j] -= w;
if (dfs(i + 1, remSum - w)) return true;
remC[j] += w;
}
return false;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> N >> M;
W.resize(N);
C.resize(M);
for (int i = 0; i < N; i++) cin >> W[i];
for (int j = 0; j < M; j++) cin >> C[j];
// 大件先放,减枝更强
sort(W.begin(), W.end(), greater<long long>());
// 容量排序不影响可行性判断(只是帮助更快剪枝)
sort(C.begin(), C.end(), greater<long long>());
remC = C;
// 预处理 suffixW
suffixW.assign(N + 1, 0);
for (int i = N - 1; i >= 0; i--) suffixW[i] = suffixW[i + 1] + W[i];
long long totalCap = 0;
for (auto x : C) totalCap += x;
bool ok = dfs(0, totalCap);
cout << (ok ? "Yes\n" : "No\n");
return 0;
}
提出情報
| 提出日時 | |
|---|---|
| 問題 | E - 荷物の配送トラック |
| ユーザ | zhishengie |
| 言語 | C++23 (GCC 15.2.0) |
| 得点 | 433 |
| コード長 | 1757 Byte |
| 結果 | AC |
| 実行時間 | 3 ms |
| メモリ | 3700 KiB |
ジャッジ結果
| セット名 | Sample | All | ||||
|---|---|---|---|---|---|---|
| 得点 / 配点 | 0 / 0 | 433 / 433 | ||||
| 結果 |
|
|
| セット名 | テストケース |
|---|---|
| Sample | sample01.txt, sample02.txt, sample03.txt |
| All | sample01.txt, sample02.txt, sample03.txt, in01.txt, in02.txt, in03.txt, in04.txt, in05.txt, in06.txt, in07.txt, in08.txt, in09.txt, in10.txt, in11.txt, in12.txt, in13.txt, in14.txt, in15.txt, in16.txt, in17.txt, in18.txt, in19.txt, in20.txt, in21.txt, in22.txt, in23.txt, in24.txt, in25.txt, in26.txt, in27.txt, in28.txt, in29.txt, in30.txt, in31.txt, in32.txt, in33.txt, in34.txt, in35.txt, in36.txt, in37.txt, in38.txt, in39.txt, in40.txt, in41.txt, in42.txt, in43.txt, in44.txt, in45.txt, in46.txt, in47.txt, in48.txt, in49.txt, in50.txt, in51.txt, in52.txt, in53.txt, in54.txt, in55.txt, in56.txt, in57.txt, in58.txt, in59.txt, in60.txt, in61.txt, in62.txt, in63.txt, in64.txt, in65.txt, in66.txt, in67.txt, in68.txt, in69.txt, in70.txt, in71.txt, in72.txt, in73.txt, in74.txt, in75.txt, in76.txt, in77.txt |
| ケース名 | 結果 | 実行時間 | メモリ |
|---|---|---|---|
| in01.txt | AC | 2 ms | 3604 KiB |
| in02.txt | AC | 1 ms | 3640 KiB |
| in03.txt | AC | 1 ms | 3676 KiB |
| in04.txt | AC | 1 ms | 3624 KiB |
| in05.txt | AC | 1 ms | 3640 KiB |
| in06.txt | AC | 1 ms | 3664 KiB |
| in07.txt | AC | 1 ms | 3464 KiB |
| in08.txt | AC | 1 ms | 3440 KiB |
| in09.txt | AC | 1 ms | 3464 KiB |
| in10.txt | AC | 1 ms | 3676 KiB |
| in11.txt | AC | 1 ms | 3464 KiB |
| in12.txt | AC | 1 ms | 3556 KiB |
| in13.txt | AC | 1 ms | 3564 KiB |
| in14.txt | AC | 1 ms | 3636 KiB |
| in15.txt | AC | 1 ms | 3556 KiB |
| in16.txt | AC | 1 ms | 3544 KiB |
| in17.txt | AC | 1 ms | 3552 KiB |
| in18.txt | AC | 1 ms | 3624 KiB |
| in19.txt | AC | 1 ms | 3604 KiB |
| in20.txt | AC | 1 ms | 3664 KiB |
| in21.txt | AC | 1 ms | 3640 KiB |
| in22.txt | AC | 1 ms | 3552 KiB |
| in23.txt | AC | 1 ms | 3532 KiB |
| in24.txt | AC | 1 ms | 3532 KiB |
| in25.txt | AC | 1 ms | 3552 KiB |
| in26.txt | AC | 1 ms | 3604 KiB |
| in27.txt | AC | 1 ms | 3552 KiB |
| in28.txt | AC | 1 ms | 3604 KiB |
| in29.txt | AC | 2 ms | 3532 KiB |
| in30.txt | AC | 2 ms | 3604 KiB |
| in31.txt | AC | 2 ms | 3552 KiB |
| in32.txt | AC | 2 ms | 3564 KiB |
| in33.txt | AC | 2 ms | 3544 KiB |
| in34.txt | AC | 2 ms | 3564 KiB |
| in35.txt | AC | 2 ms | 3592 KiB |
| in36.txt | AC | 2 ms | 3556 KiB |
| in37.txt | AC | 2 ms | 3556 KiB |
| in38.txt | AC | 2 ms | 3564 KiB |
| in39.txt | AC | 2 ms | 3544 KiB |
| in40.txt | AC | 2 ms | 3624 KiB |
| in41.txt | AC | 3 ms | 3620 KiB |
| in42.txt | AC | 2 ms | 3612 KiB |
| in43.txt | AC | 2 ms | 3540 KiB |
| in44.txt | AC | 2 ms | 3564 KiB |
| in45.txt | AC | 1 ms | 3460 KiB |
| in46.txt | AC | 2 ms | 3588 KiB |
| in47.txt | AC | 2 ms | 3564 KiB |
| in48.txt | AC | 3 ms | 3460 KiB |
| in49.txt | AC | 2 ms | 3604 KiB |
| in50.txt | AC | 2 ms | 3640 KiB |
| in51.txt | AC | 2 ms | 3564 KiB |
| in52.txt | AC | 2 ms | 3464 KiB |
| in53.txt | AC | 2 ms | 3640 KiB |
| in54.txt | AC | 2 ms | 3676 KiB |
| in55.txt | AC | 3 ms | 3544 KiB |
| in56.txt | AC | 2 ms | 3592 KiB |
| in57.txt | AC | 2 ms | 3560 KiB |
| in58.txt | AC | 2 ms | 3564 KiB |
| in59.txt | AC | 1 ms | 3464 KiB |
| in60.txt | AC | 2 ms | 3564 KiB |
| in61.txt | AC | 2 ms | 3588 KiB |
| in62.txt | AC | 2 ms | 3636 KiB |
| in63.txt | AC | 2 ms | 3640 KiB |
| in64.txt | AC | 2 ms | 3504 KiB |
| in65.txt | AC | 3 ms | 3664 KiB |
| in66.txt | AC | 2 ms | 3604 KiB |
| in67.txt | AC | 2 ms | 3504 KiB |
| in68.txt | AC | 2 ms | 3552 KiB |
| in69.txt | AC | 1 ms | 3544 KiB |
| in70.txt | AC | 2 ms | 3604 KiB |
| in71.txt | AC | 2 ms | 3564 KiB |
| in72.txt | AC | 1 ms | 3556 KiB |
| in73.txt | AC | 2 ms | 3700 KiB |
| in74.txt | AC | 2 ms | 3604 KiB |
| in75.txt | AC | 2 ms | 3636 KiB |
| in76.txt | AC | 2 ms | 3544 KiB |
| in77.txt | AC | 2 ms | 3532 KiB |
| sample01.txt | AC | 3 ms | 3460 KiB |
| sample02.txt | AC | 2 ms | 3532 KiB |
| sample03.txt | AC | 2 ms | 3676 KiB |