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 |
---|---|---|---|---|---|---|---|---|---|
#207881 | #3711. Heavenly Altitudes | shiruiheng | 100 | 64ms | 17228kb | C++11 | 1.1kb | 2024-08-01 09:19:54 | 2024-08-01 12:37:34 |
answer
#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
#define pi pair<ll, ll>
#define N 1111111
#define mod 1000000007
ll n, m, a[N], fac[N] = {1}, inv[N];
ll calc(int x, int y){
//printf("c(%lld, %lld) = %lld\n", x, y, fac[x] * inv[y] % mod * inv[x - y] % mod);
return fac[x] * inv[y] % mod * inv[x - y] % mod;
}
ll dfs(int x, int cnt){
if(x == 0)
return 1;
return dfs(x - 1, cnt - (n / m) + (a[x] - a[x - 1])) * calc(cnt - 1, n / m - 1) % mod;
}
ll qpow(ll x, ll y){
ll ans = 1, res = x % mod ;
while(y){
if(y & 1)
ans = ans * res % mod;
res = (res * res % mod);
y >>= 1 ;
}
return ans ;
}
signed main()
{
scanf("%lld%lld", &n, &m);
for(int i = 1 ; i <= m ; i++)
scanf("%lld", &a[i]);
sort(a + 1, a + 1 + m);
for(int i = 1 ; i <= n ; i++)
fac[i] = fac[i - 1] * i % mod;
inv[n] = qpow(fac[n], mod - 2);
for(int i = n - 1 ; i >= 0 ; i--)
inv[i] = (i + 1) * inv[i + 1] % mod;
sort(a + 1, a + 1 + m);
printf("%lld", dfs(m, n - a[m] + 1));
exit(0);
}
详细
小提示:点击横条可展开更详细的信息
Test #1:
score: 10
Accepted
time: 0ms
memory: 1204kb
input:
9 3 1 3 4
output:
30
result:
ok 1 number(s): "30"
Test #2:
score: 10
Accepted
time: 0ms
memory: 1204kb
input:
10 5 1 2 3 4 6
output:
96
result:
ok 1 number(s): "96"
Test #3:
score: 10
Accepted
time: 0ms
memory: 1228kb
input:
1000 125 1 2 4 6 7 8 10 12 13 16 19 24 25 26 28 29 30 31 39 40 41 46 49 52 55 64 65 67 68 77 78 81 8...
output:
131515409
result:
ok 1 number(s): "131515409"
Test #4:
score: 10
Accepted
time: 0ms
memory: 1232kb
input:
999 111 1 2 6 7 10 12 13 15 19 26 29 32 33 52 53 54 57 58 59 60 69 73 78 87 91 101 103 105 106 110 1...
output:
172899290
result:
ok 1 number(s): "172899290"
Test #5:
score: 10
Accepted
time: 3ms
memory: 2820kb
input:
100000 1250 1 4 13 19 26 33 46 53 68 72 78 100 104 115 116 126 129 131 142 150 156 157 160 167 197 2...
output:
821794520
result:
ok 1 number(s): "821794520"
Test #6:
score: 10
Accepted
time: 4ms
memory: 3212kb
input:
99999 11111 1 2 4 5 9 10 11 12 13 14 15 16 17 19 20 21 22 23 25 27 29 31 32 33 34 35 36 39 41 42 43 ...
output:
941657016
result:
ok 1 number(s): "941657016"
Test #7:
score: 10
Accepted
time: 20ms
memory: 16880kb
input:
1000000 1000 1 200 304 310 404 584 622 831 1056 1160 1948 1984 2027 2137 2216 2434 2452 2488 2667 27...
output:
109815619
result:
ok 1 number(s): "109815619"
Test #8:
score: 10
Accepted
time: 3ms
memory: 17228kb
input:
1000000 10000 1 6 8 13 15 28 44 51 56 72 73 83 97 99 105 113 126 130 136 177 183 184 213 218 265 288...
output:
780311646
result:
ok 1 number(s): "780311646"
Test #9:
score: 10
Accepted
time: 21ms
memory: 16840kb
input:
1000000 100 1 742 1563 4179 8008 8716 11385 16121 16656 17170 18699 24004 29401 31368 35296 35580 45...
output:
338576884
result:
ok 1 number(s): "338576884"
Test #10:
score: 10
Accepted
time: 13ms
memory: 16444kb
input:
900000 30000 1 3 6 7 9 10 18 22 24 29 30 32 33 34 39 44 46 54 55 62 63 64 75 78 84 90 93 95 96 99 10...
output:
507088503
result:
ok 1 number(s): "507088503"