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 Altitudes | czh123456 | 100 | 78ms | 9180kb | C++ | 1011b | 2024-08-01 11:23:54 | 2024-08-01 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"