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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#207863#3711. Heavenly AltitudesLarryia1001572ms16944kbC++909b2024-08-01 09:05:102024-08-01 12:37:16

answer

#include <bits/stdc++.h>
using namespace std;
const int N = 1e6 + 10;
const int mod = 1e9 + 7;
int n, m, a[N], k;
typedef long long ll;
ll f[N], g[N];
ll ans = 1;
ll qPow(ll x, ll k) {
    ll res = 1;
    while (k > 0) {
        if (k & 1) {
            res = res * x % mod;
        }
        x = x * x % mod;
        k >>= 1;
    }
    return res;
}
void init() {
    f[0] = g[0] = 1;
    for (int i = 1; i < N; i++) {
        f[i] = f[i - 1] * i % mod;
        g[i] = qPow(i, mod - 2) * g[i - 1] % mod;
    }
}
int main() {
    init();
    scanf("%d%d", &n, &m);
    k = n / m;
    for (int i = 1; i <= m; i++) {
        scanf("%d", &a[i]);
    }
    sort(a + 1, a + m + 1);
    for (int i = m; i >= 1; i--) {
        ll c = n - a[i] - k * (m - i);
        ans = ans * f[c] % mod * g[k - 1] % mod * g[c - k + 1] % mod;
    }
    printf("%lld\n", ans);
    return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 152ms
memory: 16820kb

input:

9 3
1 3 4

output:

30

result:

ok 1 number(s): "30"

Test #2:

score: 10
Accepted
time: 153ms
memory: 16816kb

input:

10 5
1 2 3 4 6

output:

96

result:

ok 1 number(s): "96"

Test #3:

score: 10
Accepted
time: 161ms
memory: 16828kb

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: 161ms
memory: 16832kb

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: 135ms
memory: 16836kb

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: 161ms
memory: 16872kb

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: 165ms
memory: 16832kb

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: 159ms
memory: 16872kb

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: 157ms
memory: 16832kb

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: 168ms
memory: 16944kb

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"