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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#694859 | #6425. Harmonious Rectangle | sadbo1 | TL | 1ms | 3940kb | C++20 | 2.3kb | 2024-10-31 18:49:52 | 2024-10-31 18:49:53 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#ifdef LOCAL
#include "C:\Program Files\DEBUG\debug.h"
#else
#define debug(...) 114514
#define ps 114514
#endif
const int mod = 1e9 + 7;
int power(int a, int n) {
int res = 1;
while (n) {
if (n & 1)
res = res * a % mod;
a = a * a % mod;
n >>= 1;
}
return res;
}
vector<vector<int>> res(100, vector<int>(100));
void solve() {
int n, m;
cin >> n >> m;
vector<vector<int>> a(n + 1, vector<int>(m + 1, 0));
vector<vector<int>> b(n + 1, vector<int>(4, 0));
auto check = [&](int x, int y, int val) -> bool {
a[x][y] = val;
if (b[x][0] <= 3 && b[x][1] <= 3 && b[x][2] <= 3) {
for (int i = 1; i < x; i++) {
for (int j = 1; j < y; j++) {
if (a[i][j] == a[i][y] && a[x][y] == a[x][j]) {
return false;
}
if (a[i][j] == a[x][j] && a[i][y] == a[x][y]) {
return false;
}
}
}
return true;
}
return false;
};
int ans = 0;
auto dfs = [&](auto self, int x, int y) -> void {
if (x > n) {
ans++;
return;
}
if (y > m) {
self(self, x + 1, 1);
return;
}
for (int i = 1; i <= 3; i++) {
b[x][i]++;
if (check(x, y, i)) {
self(self, x, y + 1);
}
b[x][i]--;
}
};
if (n == 1 || m == 1) {
cout << 0 << '\n';
return;
}
if (n > 9 || m > 9) {
cout << power(3, n * m) << '\n';
}
if (res[n][m] != -1) {
cout << res[n][m] << '\n';
} else {
ans = 0;
dfs(dfs, 1, 1);
res[n][m] = power(3, n * m) - ans;
res[n][m] = (res[n][m] + mod) % mod;
cout << res[n][m] << '\n';
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr), cout.tie(nullptr);
int t = 1;
for (int i = 1; i <= 9; i++) {
for (int j = 1; j <= 9; j++) {
res[i][j] = -1;
}
}
cin >> t;
while (t--)
solve();
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3940kb
input:
3 1 4 2 2 3 3
output:
0 15 16485
result:
ok 3 number(s): "0 15 16485"
Test #2:
score: -100
Time Limit Exceeded
input:
10000 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 10 1 11 1 12 1 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 1 22 1 23 1 24 1 25 1 26 1 27 1 28 1 29 1 30 1 31 1 32 1 33 1 34 1 35 1 36 1 37 1 38 1 39 1 40 1 41 1 42 1 43 1 44 1 45 1 46 1 47 1 48 1 49 1 50 1 51 1 52 1 53 1 54 1 55 1 56 1 57 1 58 1 59 1 60 1 6...
output:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 339 4761 52929 517761 4767849 43046721 387420489 486784380 0 381059392 0 429534507 0 865810542 ...