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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
#207881#3711. Heavenly Altitudesshiruiheng10064ms17228kbC++111.1kb2024-08-01 09:19:542024-08-01 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"