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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 Graphpooty#AC ✓168ms5276kbC++201.8kb2023-08-24 22:37:182023-08-24 22:37:20

Judging History

你现在查看的是最新测评结果

  • [2023-08-24 22:37:20]
  • 评测
  • 测评结果:AC
  • 用时:168ms
  • 内存:5276kb
  • [2023-08-24 22:37:18]
  • 提交

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