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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 |
---|---|---|---|---|---|---|---|---|---|
#149596 | #6137. Sub-cycle Graph | pooty# | AC ✓ | 168ms | 5276kb | C++20 | 1.8kb | 2023-08-24 22:37:18 | 2023-08-24 22:37:20 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define REP(i, n) for (int i = 0; i < (n); i++)
#define REPL(i,j, n) for (int i = (j); i < (n); i++)
#define int long long
typedef vector<int> vi;
typedef vector<vi> vvi;
const int MOD = 1e9 + 7;
int modpow(int b, int p) {
int cur = 1;
int mult = b;
while (p) {
if (p&1LL) {
cur = cur*mult%MOD;
}
p /=2;
mult = mult*mult%MOD;
}
return cur;
}
int modinv(int b) {
return modpow(b, MOD-2);
}
const int MAX = 1e5+2;
vi facts(MAX,1);
vi invfact(MAX,1);
vi inv2(MAX,1);
int nCr(int n, int r) {
if (n < 0 || r < 0 || n-r < 0) return 0;
return facts[n]*invfact[r]%MOD*invfact[n-r]%MOD;
}
int barsStar(int objects, int part) {
return nCr(objects-1, part - 1);
}
int solve() {
int n,m;cin>>n>>m;
if (m > n) {
return 0;
}
if (m == n) {
return facts[n-1]*inv2[1]%MOD;
}
if (m == 0) return 1;
int tot = 0;
int comps = n-m;
int remaining = n - comps;
int factor = nCr(n, comps)*facts[remaining]%MOD;
//cout<<factor<<"...\n";
REP(oneheads, comps) {
int morehead = comps - oneheads;
int f1 = barsStar(remaining, morehead);
int f2 = nCr(comps, oneheads);
int v1 = f1*f2%MOD*factor%MOD*inv2[morehead]%MOD;
//cout<<f1<<"..."<<oneheads<<"\n";
//cout<<v1<<"...\n";
tot = (tot + v1)%MOD;
}
return tot%MOD;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int iv2 = modinv(2);
REPL(i, 1, MAX) {
facts[i] = facts[i-1]*i%MOD;
invfact[i] = modinv(facts[i]);
inv2[i] = inv2[i-1]*iv2%MOD;
}
int t; cin >> t;
while (t--) {
cout<<solve()<<"\n";
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 9ms
memory: 5260kb
input:
3 4 2 4 3 5 3
output:
15 12 90
result:
ok 3 number(s): "15 12 90"
Test #2:
score: 0
Accepted
time: 168ms
memory: 5276kb
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:
1 3 3 1 1 6 15 12 3 1 10 45 90 60 12 1 15 105 375 630 360 60 1 21 210 1155 3465 5040 2520 360 1 28 378 2940 13545 35280 45360 20160 2520 1 36 630 6552 42525 170100 393120 453600 181440 20160 1 45 990 13230 114345 643545 2286900 4762800 4989600 1814400 181440 1 55 1485 24750 273735 2047815 10239075 3...
result:
ok 17446 numbers