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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#102528 | #5661. Multi-Ladders | Joler# | WA | 2ms | 3416kb | C++14 | 2.0kb | 2023-05-03 14:25:49 | 2023-05-03 14:25:51 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#ifdef LOCAL
template<class t,class u>ostream& operator<<(ostream& os,const pair<t,u>& p){return os<<"("<<p.first<<","<<p.second<<")";}
#endif
template<class t>ostream& operator<<(ostream& os,const vector<t>& v){if(v.size())os<<v[0];for(int i=1; i<v.size(); i++)os<<' '<<v[i]; return os;}
const int inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
ll n, m, t, k, a, b, c, d, cnt, mark, an, oT_To, x, y, z;
ll ans;
#define int ll
const int mod = 1e9+7;
array<array<int, 2>, 2> A = {array<int, 2>{0, 1}, array<int, 2>{2, 1}};
struct jz {
array<array<int, 2>, 2> a{};
};
jz operator*(const jz& ja, const jz& jb) {
array<array<int, 2>, 2> res{};
for (int i : {0, 1}) for (int j : {0, 1}) for (int l : {0, 1})
(res[i][j] += (ll)ja.a[i][l] * jb.a[l][j] % mod) %= mod;
return {res};
}
jz ksm (jz a, int b) {
jz res{array<int, 2>{1, 0}, array<int, 2>{0, 1}};
while (b) {
if (b & 1) res = res * a;
a = a * a;
b >>= 1;
}
return res;
}
ll ksm(ll a, ll b) {
ll res = 1;
while (b) {
if (b & 1) (res *= a) %= mod;
a = a * a % mod;
b >>= 1;
}
return res;
}
struct Solver {
void solve() {
cin >> n >> m >> k;
A[1][0] = k - 1;
A[1][1] = k - 2;
if (k <= 1) return cout << "0\n", void();
if (k == 2) {
if (m == 3) cout << "0\n";
else cout << 2 << '\n';
return;
}
auto p = ksm({A}, m-1);
ll y = p.a[1][0];
// cout << "x: " << x << '\n';
// cout << "y: " << y << '\n';
ll ans = (y * k) % mod * ksm(((k-1)*(k-1)-1) % mod, (n-1)*m) % mod;
cout << ans << '\n';
}
};
#undef int
int main () {
ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
oT_To = 1;
cin >> oT_To;
while (oT_To--) {
Solver solver;
solver.solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 3412kb
input:
1 2 3 3
output:
162
result:
ok single line: '162'
Test #2:
score: -100
Wrong Answer
time: 0ms
memory: 3416kb
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 2 0 276995160 407607609 52489881 53690844 98832450 846090933 543620055 992214290 693053429 883715672 80402569 0 0 344896140
result:
wrong answer 5th lines differ - expected: '0', found: '2'