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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 |
---|---|---|---|---|---|---|---|---|---|
#398640 | #2573. Two Permutations | PYD1 | AC ✓ | 305ms | 59900kb | C++14 | 1.8kb | 2024-04-25 16:03:22 | 2024-04-25 16:03:28 |
Judging History
answer
#include <set>
#include <map>
#include <list>
#include <queue>
#include <cmath>
#include <time.h>
#include <random>
#include <bitset>
#include <vector>
#include <cstdio>
#include <stdio.h>
#include <iomanip>
#include <assert.h>
#include <stdlib.h>
#include <memory.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <unordered_map>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define mk make_pair
#define fi first
#define se second
inline int read(){
int t = 0,f = 1;
register char c = getchar();
while (c < 48 || c > 57) f = (c == '-') ? (-1) : (f),c = getchar();
while (c >= 48 && c <= 57) t = (t << 1) + (t << 3) + (c ^ 48),c = getchar();
return f * t;
}
const int N = 150 + 3,MOD = 1e9 + 7;
int n,k;
ll dp[2][N][N * N],C[N][N];
inline void add(ll &x,ll v) {x += v;if (x >= MOD) x -= MOD;}
int main(){
#ifndef ONLINE_JUDGE
freopen("in.in","r",stdin);
// freopen("out.out","w",stdout);
#endif
n = read(),k = read();
for (int i = 1;i <= n;i++){
C[i][0] = 1;
for (int j = 1;j <= i;j++) C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % MOD;
}
int lst = 1,cur = 0,s = n * n;
dp[cur][0][0] = 1;
for (int i = 1;i <= n;i++){
lst ^= 1,cur ^= 1;
memset(dp[cur],0,sizeof(dp[cur]));
for (int j = 0;j <= n;j++){
for (int k = 0;k <= s;k++){
if (!dp[lst][j][k]) continue;
ll v = dp[lst][j][k];
add(dp[cur][j + 1][k],v);//孤立点
add(dp[cur][j][k + i],v);//自环
add(dp[cur][j][k + i],v * j * 2ll % MOD);//接到一个链上
if (j >= 2) add(dp[cur][j - 1][k + 2 * i],v * j % MOD * (j - 1) % MOD);//合并两个链
if (j) add(dp[cur][j - 1][k + 2 * i],v * j % MOD);//链->环
}
}
}
ll fct = 1;
for (int i = 1;i <= n;i++) fct = fct * i % MOD;
printf("%lld\n",dp[cur][0][k] * fct % MOD);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 7ms
memory: 59692kb
input:
2 4
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 4ms
memory: 59788kb
input:
3 7
output:
12
result:
ok 1 number(s): "12"
Test #3:
score: 0
Accepted
time: 3ms
memory: 59732kb
input:
4 10
output:
24
result:
ok 1 number(s): "24"
Test #4:
score: 0
Accepted
time: 4ms
memory: 59728kb
input:
4 14
output:
96
result:
ok 1 number(s): "96"
Test #5:
score: 0
Accepted
time: 8ms
memory: 59700kb
input:
5 10
output:
0
result:
ok 1 number(s): "0"
Test #6:
score: 0
Accepted
time: 11ms
memory: 59700kb
input:
5 15
output:
120
result:
ok 1 number(s): "120"
Test #7:
score: 0
Accepted
time: 8ms
memory: 59764kb
input:
5 21
output:
2400
result:
ok 1 number(s): "2400"
Test #8:
score: 0
Accepted
time: 4ms
memory: 59792kb
input:
6 21
output:
720
result:
ok 1 number(s): "720"
Test #9:
score: 0
Accepted
time: 7ms
memory: 59792kb
input:
6 30
output:
25920
result:
ok 1 number(s): "25920"
Test #10:
score: 0
Accepted
time: 3ms
memory: 59672kb
input:
6 27
output:
106560
result:
ok 1 number(s): "106560"
Test #11:
score: 0
Accepted
time: 26ms
memory: 59732kb
input:
20 300
output:
644873710
result:
ok 1 number(s): "644873710"
Test #12:
score: 0
Accepted
time: 28ms
memory: 59784kb
input:
20 139
output:
0
result:
ok 1 number(s): "0"
Test #13:
score: 0
Accepted
time: 42ms
memory: 59796kb
input:
30 470
output:
491424690
result:
ok 1 number(s): "491424690"
Test #14:
score: 0
Accepted
time: 43ms
memory: 59860kb
input:
30 500
output:
8436035
result:
ok 1 number(s): "8436035"
Test #15:
score: 0
Accepted
time: 59ms
memory: 59808kb
input:
40 1000
output:
617159088
result:
ok 1 number(s): "617159088"
Test #16:
score: 0
Accepted
time: 56ms
memory: 59756kb
input:
40 900
output:
729805907
result:
ok 1 number(s): "729805907"
Test #17:
score: 0
Accepted
time: 99ms
memory: 59856kb
input:
60 1830
output:
16340084
result:
ok 1 number(s): "16340084"
Test #18:
score: 0
Accepted
time: 100ms
memory: 59900kb
input:
60 2000
output:
832198921
result:
ok 1 number(s): "832198921"
Test #19:
score: 0
Accepted
time: 294ms
memory: 59860kb
input:
100 5050
output:
437918130
result:
ok 1 number(s): "437918130"
Test #20:
score: 0
Accepted
time: 305ms
memory: 59892kb
input:
100 700
output:
0
result:
ok 1 number(s): "0"
Test #21:
score: 0
Accepted
time: 298ms
memory: 59812kb
input:
100 10000
output:
0
result:
ok 1 number(s): "0"