#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define ull unsigned long long
#define pb push_back
#define pll pair<ll, ll>
#define pii pair<int, int>
#define fi first
#define se second
using namespace std;
const int N = 4e2+5;
const int M = 26;
const ll inf = 1e15;
const ll mod = 1e9+7;
const ld ex = 1e-9;
int n, t, k, m, d[N], lab[N];
ll ans, tong, a[N], b[N], c[N], dp[2][N][2], cnt;
string s;
struct node
{
int x, y, val;
int vx, vy;
node(){}
node(int _x, int _vx, int _y, int _vy)
{
x = _x;
vx = _vx;
y = _y;
vy = _vy;
}
};
ll pw(ll k, ll n)
{
ll total = 1;
for(; n; n >>= 1)
{
if(n&1)total = total * k % mod;
k = k * k % mod;
}
return total;
}
ll C(ll u, ll v)
{
if(u > v)return 0;
return a[v] * b[u] % mod * b[v-u] % mod;
}
void add(ll& x, ll y)
{
x += y;
if(x >= mod)x -= mod;
}
void sol()
{
cin >> n;
a[0] = b[0] = 1;
for(int i = 1; i <= n; i ++)
{
a[i] = a[i-1] * i % mod;
b[i] = b[i-1] * pw(i, mod-2) % mod;
}
dp[0][0][0] = 1;
for(int i = 0; i < n; i ++)
{
int nxt = (i&1)^1;
memset(dp[nxt], 0, sizeof(dp[nxt]));
for(int j = 0; j <= n; j ++)
{
for(int p = 0; p <= n-j; p ++)
{
if(p != i+1)
{
add(dp[nxt][p+j][0], dp[i&1][j][0] * C(p, n-j) % mod);
add(dp[nxt][p+j][1], dp[i&1][j][1] * C(p, n-j) % mod);
}
else
{
add(dp[nxt][p+j][1], dp[i&1][j][1] * C(p, n-j) % mod);
add(dp[nxt][p+j][1], dp[i&1][j][0] * C(p, n-j) % mod);
}
}
}
}
cout << dp[n&1][n][1];
}
int main()
{
cin.tie(0);
cout.tie(0);
ios_base::sync_with_stdio(0);
#define task "test"
if(fopen(task".inp", "r"))
{
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int ntest = 1;
//cin >> ntest;
while(ntest -- > 0)
sol();
}
Compilation message
zapina.cpp: In function 'int main()':
zapina.cpp:93:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
93 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
zapina.cpp:94:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
94 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
320 KB |
Output is correct |
7 |
Correct |
0 ms |
316 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
308 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
320 KB |
Output is correct |
12 |
Correct |
0 ms |
312 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
320 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
320 KB |
Output is correct |
7 |
Correct |
0 ms |
316 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
308 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
320 KB |
Output is correct |
12 |
Correct |
0 ms |
312 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
176 ms |
320 KB |
Output is correct |
18 |
Correct |
2 ms |
300 KB |
Output is correct |
19 |
Correct |
38 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
242 ms |
332 KB |
Output is correct |
22 |
Correct |
27 ms |
324 KB |
Output is correct |
23 |
Correct |
3 ms |
332 KB |
Output is correct |
24 |
Correct |
51 ms |
332 KB |
Output is correct |
25 |
Correct |
35 ms |
204 KB |
Output is correct |
26 |
Correct |
68 ms |
316 KB |
Output is correct |
27 |
Correct |
347 ms |
332 KB |
Output is correct |
28 |
Correct |
342 ms |
332 KB |
Output is correct |
29 |
Correct |
341 ms |
324 KB |
Output is correct |
30 |
Correct |
343 ms |
332 KB |
Output is correct |
31 |
Correct |
347 ms |
328 KB |
Output is correct |
32 |
Correct |
359 ms |
332 KB |
Output is correct |
33 |
Correct |
354 ms |
332 KB |
Output is correct |
34 |
Correct |
361 ms |
452 KB |
Output is correct |
35 |
Correct |
364 ms |
440 KB |
Output is correct |
36 |
Correct |
363 ms |
332 KB |
Output is correct |
37 |
Correct |
384 ms |
332 KB |
Output is correct |