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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#644795 | #7900. Gifts from Knowledge | qiaochen | WA | 12ms | 3880kb | C++14 | 2.8kb | 2024-10-16 15:29:41 | 2024-10-16 15:29:41 |
Judging History
answer
// Problem: G. Gifts from Knowledge
// Contest: Codeforces - The 2023 ICPC Asia Jinan Regional Contest (The 2nd Universal Cup. Stage 17: Jinan)
// URL: https://codeforces.com/gym/104901/problem/G
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
//
// Powered by CP Editor (https://cpeditor.org)
#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
typedef long long i64;
typedef array<int, 3> arr;
typedef pair<int, int> PII;
const int mod = 1E9 + 7;
struct DSU {
std::vector<int> f, siz;
DSU() {}
DSU(int n) {
init(n);
}
void init(int n) {
f.resize(n);
std::iota(f.begin(), f.end(), 0);
siz.assign(n, 1);
}
int find(int x) {
while (x != f[x]) {
x = f[x] = f[f[x]];
}
return x;
}
bool same(int x, int y) {
return find(x) == find(y);
}
bool merge(int x, int y) {
x = find(x);
y = find(y);
if (x == y) {
return false;
}
siz[x] += siz[y];
f[y] = x;
return true;
}
int size(int x) {
return siz[find(x)];
}
};
int power(int a, i64 b, int p) {
int res = 1;
for (; b; b /= 2, a = 1LL * a * a % p) {
if (b % 2) {
res = 1LL * res * a % p;
}
}
return res;
}
void solve() {
int r, c;
cin >> r >> c;
vector<string> s(r + 1);
for (int i = 1; i <= r; i++) {
cin >> s[i];
s[i] = " " + s[i];
}
for (int j = 1; j <= (c + 1) / 2; j++) {
int cnt = 0;
for (int i = 1; i <= r; i++) {
cnt += s[i][j] == '1';
if (c & 1 && j != (c + 1) / 2) {
cnt += s[i][c - j + 1] == '1';
}
}
if (cnt > 2 || (c & 1 && j == (c + 1) / 2 && cnt >= 2)) {
cout << 0 << "\n";
return;
}
}
DSU dsu(2 * r + 2);
for (int j = 1; j <= c / 2; j++) {
vector<int> v1, v2;
for (int i = 1; i <= r; i++) {
if (s[i][j] == '1') v1.push_back(i);
if (s[i][c - j + 1] == '1') v2.push_back(i);
}
if (v1.size() == 1 && v2.size() == 1) {
dsu.merge(v1.back(), v2.back());
dsu.merge(v1.back() + r, v2.back() + r);
} else if (v1.empty() && v2.size() == 2) {
dsu.merge(v2[0], v2[1] + r);
dsu.merge(v2[0] + r, v2[1]);
} else if (v1.size() == 2 && v2.empty()) {
dsu.merge(v1[0], v1[1] + r);
dsu.merge(v1[0] + r, v1[1]);
}
}
for (int i = 1; i <= r; i++) {
if (dsu.same(i, i + r)) {
cout << 0 << "\n";
return;
}
}
int cnt = 0;
for (int i = 1; i <= r; i++) {
cnt += dsu.find(i) == i;
}
cout << power(2, cnt, mod) << "\n";
}
signed main() {
cin.tie(nullptr)->ios::sync_with_stdio(false);
int T;
cin >> T;
while (T--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3556kb
input:
3 3 5 01100 10001 00010 2 1 1 1 2 3 001 001
output:
4 0 2
result:
ok 3 number(s): "4 0 2"
Test #2:
score: 0
Accepted
time: 12ms
memory: 3864kb
input:
15613 10 10 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 15 8 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 1 5 00000 5 9 000000000 000000000 0000...
output:
1024 32768 2 32 32768 128 32 16 16 2 16384 16384 128 128 32768 8192 128 64 16384 2 4 2 4096 16 4096 1024 32768 32768 16384 8 128 2 16 4096 8192 32768 8192 8192 16 16384 16384 256 128 8 256 8 4096 512 2 4 32 32 2 64 512 1024 32768 32768 2 64 16384 16 8192 16 256 16 64 8192 8192 64 1024 2 32768 2 4 51...
result:
ok 15613 numbers
Test #3:
score: -100
Wrong Answer
time: 12ms
memory: 3880kb
input:
15759 9 6 000000 000000 000000 000000 000000 000000 000000 000000 000000 5 15 010000000000000 000000000000000 000000000000000 000100000000000 000100000000000 14 12 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000...
output:
512 16 16384 512 1024 4096 32768 4 2 512 512 512 512 8 2 256 16 4096 512 64 16 4096 512 32 32768 8192 32 2048 128 16 4096 64 32768 256 32 16384 8 512 32 2048 8 16 1024 2048 128 64 32 8 512 8 8192 256 8192 32768 2 8 512 512 256 32 2 2048 8192 8 64 8 2 16384 32768 32768 1024 4096 16384 16384 128 256 4...
result:
wrong answer 1590th numbers differ - expected: '0', found: '8192'