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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#533027 | #5661. Multi-Ladders | ttbchimbu999# | WA | 0ms | 3852kb | C++14 | 1.7kb | 2024-08-25 16:05:41 | 2024-08-25 16:05:45 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define matrix vector<vector<int> >
const int M = 1e9 + 7;
matrix operator *(const matrix &a, const matrix &b) {
matrix c;
c.resize(a.size());
for (int i = 0; i < (int)a.size(); ++i) {
c[i].resize(b[0].size(), 0);
for (int j = 0; j < (int)b[0].size(); ++j) {
for (int z = 0; z < (int)a[0].size(); ++z) {
c[i][j] = (c[i][j] + 1LL * a[i][z] * b[z][j]) % M;
}
}
}
return c;
}
matrix unit(int n) {
matrix ans(n, vector<int>(n, 0));
for (int i = 0; i < n; ++i) {
ans[i][i] = 1;
}
return ans;
}
matrix fpow(matrix a, long long b, int M = ::M) {
matrix ans = unit(a.size());
while (b) {
if (b & 1) ans = ans * a;
b >>= 1;
a = a * a;
}
return ans;
}
int fpow(int a, long long b, int M = ::M) {
int ans = 1;
while (b) {
if (b & 1) ans = 1LL * ans * a % M;
a = 1LL * a * a % M;
b >>= 1;
}
return ans;
}
void solve() {
int n, k, l;
cin >> n >> k >> l;
if (l < k) {
cout << 0 << '\n';
return;
}
matrix f = {{1LL * l * (l - 1) % M, 0LL, 1LL * l * (l - 1) % M * (l - 2) % M, 1LL * l * (l - 1) % M}};
matrix m = {
{0, 0, 0, 0},
{0, 0, 0, 0},
{1, 0, l - 2, 1},
{0, 1, l - 1, 0}
};
int ans = (f * fpow(m, k - 3 + 1))[0][0];
int tmp = fpow((1LL * (l - 1) * (l - 1) - l + 2) % M, 1LL * (n - 1) * k);
ans = 1LL * ans * tmp % M;
cout << ans << '\n';
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifdef LOCAL
// freopen("TEST.inp", "r", stdin);
// freopen("TEST.out", "w", stdout);
#else
// freopen("TEST.inp", "r", stdin);
// freopen("TEST.out", "w", stdout);
#endif
int L;
cin >> L;
while (L--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3572kb
input:
1 2 3 3
output:
162
result:
ok single line: '162'
Test #2:
score: -100
Wrong Answer
time: 0ms
memory: 3852kb
input:
20 2 3 3 1 3 3 10 3 0 10 3 2 1 21 2 1 22 0 2000 15000 2000 12000 30000 200000 1000000000 3 3 2 1000000000 3 2 3 100000000 1000000000 1000000000 10 1000000000 3 100000000 2 1000000000 100000000 1 1000000000 10 1 1000000000 100000000 1 1000 100000000 1000000000 1000000000 0 1000000000 1000000000 1 100...
output:
162 6 0 0 0 0 0 243010659 52489881 0 176686901 0 558243892 0 0 0 80402569 0 0 0
result:
wrong answer 7th lines differ - expected: '349400141', found: '0'