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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
#208004#3711. Heavenly Altitudesczh12345610078ms9180kbC++1011b2024-08-01 11:23:542024-08-01 12:43:47

answer

#include <bits/stdc++.h>
using namespace std;
#define FILE(x) freopen(x".in", "r", stdin);freopen(x".out", "w", stdout);
const int mod = 1e9 + 7;
int n, m, a[1000001];
long long fact[1000001], cnt, ans = 1;
void init(){
	fact[0] = 1;
	for (int i = 1; i <= 1e6; i++){
		fact[i] = fact[i - 1] * i % mod;
	}
	return;
}
long long qpow(long long a, long long b){
	long long res = 1;
	while (b){
		if (b & 1){
			res *= a;
			res %= mod;
		}
		a *= a;
		a %= mod;
		b = b >> 1;
	}
	return res;
}
long long C(long long n, long long m){
	return fact[n] * qpow(fact[n - m] * fact[m] % mod, mod - 2) % mod;
}
int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	init();
	cin >> n >> m;
	for (int i = 1; i <= m; i++){
		cin >> a[i];
	}
	if (a[1] != 1){
		cout << "0";
		return 0;
	}
	cnt = n - a[m];
	for (int i = m; i >= 1; i--){
		ans *= C(cnt, n / m - 1);
		ans %= mod;
		cnt -= n / m - 1;
		cnt += a[i] - a[i - 1] - 1;
	}
	cout << ans;
	return 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: 10ms
memory: 9064kb

input:

9 3
1 3 4

output:

30

result:

ok 1 number(s): "30"

Test #2:

score: 10
Accepted
time: 4ms
memory: 9064kb

input:

10 5
1 2 3 4 6

output:

96

result:

ok 1 number(s): "96"

Test #3:

score: 10
Accepted
time: 5ms
memory: 9064kb

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: 10ms
memory: 9060kb

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: 9072kb

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: 7ms
memory: 9112kb

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: 7ms
memory: 9072kb

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: 8ms
memory: 9108kb

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: 7ms
memory: 9060kb

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: 17ms
memory: 9180kb

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"