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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#93967 | #6137. Sub-cycle Graph | ksunhokim | TL | 12ms | 6808kb | C++20 | 2.2kb | 2023-04-04 11:58:23 | 2023-04-04 11:58:26 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
// Modular Integer
// does arithmetics (mod P) automatically
template<class T> T power(T a, ll b) { T res = 1; for (; b; b /= 2, a *= a) { if (b % 2) { res *= a; } } return res; }
int P = 1000000007; // 1000000007
struct zint {
int x;
// assumes -P <= x <= 2P
int norm(int x) const { if (x < 0) { x += P; } if (x >= P) { x -= P; } return x; }
zint(int x = 0) : x(norm(x)) {}
zint(ll x) : x(norm((int)(x % P))) {}
int val() const { return x; }
zint operator-() const { return zint(norm(P - x)); }
zint inv() const { assert(x != 0); return power(*this, P - 2); }
zint& operator*=(const zint& rhs) { x = (int)(ll(x) * rhs.x % P); return *this; }
zint& operator+=(const zint& rhs) { x = norm(x + rhs.x); return *this; }
zint& operator-=(const zint& rhs) { x = norm(x - rhs.x); return *this; }
zint& operator/=(const zint& rhs) { return *this *= rhs.inv();}
friend zint operator*(const zint& lhs, const zint& rhs) { zint res = lhs; res *= rhs; return res; }
friend zint operator+(const zint& lhs, const zint& rhs) { zint res = lhs; res += rhs; return res; }
friend zint operator-(const zint& lhs, const zint& rhs) { zint res = lhs; res -= rhs; return res; }
friend zint operator/(const zint& lhs, const zint& rhs) { zint res = lhs; res /= rhs; return res; }
friend ostream& operator << (ostream& out, const zint& rhs) { out << rhs.val(); return out; }
friend istream& operator >> (istream& in, zint& rhs) { ll x; in >> x; rhs = zint(x); return in; }
};
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
const int N = 1e6;
vector<zint> facts(N+1);
facts[0] = 1;
for (int i=1;i<=N;i++){
facts[i] = i*facts[i-1];
}
int t;
cin >> t;
while (t--) {
ll n,m;
cin >> n >> m;
if (m > n) {
cout << 0 << "\n";
continue;
}
if (m == n) {
cout << (facts[n-1]/2).val() << "\n";
continue;
}
zint ans = 0;
for (int i=1;i<=n-m;i++){
if (m < i) break;
//mint ncr = facts[m-1]/(facts[i-1]*facts[m-i]);
ans += facts[m-1]*facts[n]/(max(n-m-i,1ll)*i*power(zint(2),i)*facts[i-1]*facts[m-i]);
}
cout << ans.val() << "\n";
}
}
Details
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Test #1:
score: 100
Accepted
time: 12ms
memory: 6808kb
input:
3 4 2 4 3 5 3
output:
15 12 90
result:
ok 3 number(s): "15 12 90"
Test #2:
score: -100
Time Limit Exceeded
input:
17446 3 0 3 1 3 2 3 3 4 0 4 1 4 2 4 3 4 4 5 0 5 1 5 2 5 3 5 4 5 5 6 0 6 1 6 2 6 3 6 4 6 5 6 6 7 0 7 1 7 2 7 3 7 4 7 5 7 6 7 7 8 0 8 1 8 2 8 3 8 4 8 5 8 6 8 7 8 8 9 0 9 1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 9 10 0 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 11 0 11 1 11 2 11 3 11 4 11 5 11 6 11 7 11...
output:
0 3 3 1 0 6 15 12 3 0 20 45 90 60 12 0 90 165 390 630 360 60 0 504 840 1680 3780 5040 2520 360 0 3360 5292 9240 19950 40320 45360 20160 2520 0 25920 39312 64008 119070 264600 468720 453600 181440 20160 0 226800 334800 521640 882630 1761480 3817800 5896800 4989600 1814400 181440 0 2217600 3207600 484...