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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#657134 | #5661. Multi-Ladders | ucup-team5226# | AC ✓ | 1ms | 3652kb | C++14 | 1.4kb | 2024-10-19 14:14:48 | 2024-10-19 14:14:55 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vl = vector<ll>;
using str = string;
#define reps(i, a, n) for (ll i = (a); i < ll(n); i++)
#define rep(i, n) reps(i, 0, n)
constexpr ll MOD = ll(1e9) + 7;
ll pow_mod(ll x, ll n) {
assert(n >= 0);
assert(n <= (1LL << 40));
ll r = 1;
x %= MOD;
while (n) {
if (n & 1) r = (r * x) % MOD;
x = (x * x) % MOD;
n >>= 1;
}
return r;
}
void solve() {
ll n, k, l;
cin >> n >> k >> l;
vector<vector<vector<ll>>> mat(40, vector<vector<ll>>(2, vector<ll>(2)));
mat[0][0][1] = 1;
mat[0][1][0] = l - 1;
mat[0][1][1] = l - 2;
auto mul = [&](vector<vector<ll>> a, vector<vector<ll>> b) {
vector<vector<ll>> res(2, vector<ll>(2));
rep(i, 2) rep(j, 2) rep(k, 2) res[i][j] += a[i][k] * b[k][j], res[i][j] %= MOD;
return res;
};
for (int i = 1; i < 40; i++) {
mat[i] = mul(mat[i - 1], mat[i - 1]);
}
vector<vector<ll>> v(2, vector<ll>(2));
v[0][0] = v[1][1] = 1;
for (int i = 0; i < 40; i++)
if ((k - 1) >> i & 1) v = mul(v, mat[i]);
ll res = v[1][0] * l % MOD;
ll val = ((l - 1) * (l - 1) % MOD - (l - 2) + MOD) % MOD;
val = pow_mod(val, n - 1);
val = pow_mod(val, k);
res = res * val % MOD;
cout << res << endl;
}
int main() {
ll t = 1;
cin >> t;
rep(i, t) solve();
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3652kb
input:
1 2 3 3
output:
162
result:
ok single line: '162'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3648kb
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 349400141 243010659 52489881 53690844 176686901 218103365 558243892 991895211 693053429 883715672 80402569 0 0 311752813
result:
ok 20 lines