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 |
---|---|---|---|---|---|---|---|---|---|
#207847 | #3711. Heavenly Altitudes | _Alexande_ | 100 | 57ms | 9104kb | C++11 | 2.0kb | 2024-08-01 08:49:21 | 2024-08-01 12:36:42 |
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fir first
#define sec second
#define mkp make_pair
#define pb push_back
#define lep( i, l, r ) for ( int i = ( l ); i <= ( r ); ++ i )
#define rep( i, r, l ) for ( int i = ( r ); i >= ( l ); -- i )
typedef long long ll;
typedef long double ld;
typedef pair < int, int > pii;
char _c; bool _f; template < class type > inline void read ( type &x ) {
_f = 0, x = 0;
while ( _c = getchar (), !isdigit ( _c ) ) if ( _c == '-' ) _f = 1;
while ( isdigit ( _c ) ) x = x * 10 + _c - '0', _c = getchar (); if ( _f ) { x = -x; }
}
template < class type > inline void chkmin ( type &x, type y ) { x = ( x <= y ? x : y ); }
template < class type > inline void chkmax ( type &x, type y ) { x = ( x >= y ? x : y ); }
const int N = 1e6 + 5;
const int mod = 1e9 + 7;
int n, m, ans = 1;
int a[N], fac[N];
void init () {
fac[0] = 1;
for ( int i = 1; i <= n; i ++ ) {
fac[i] = fac[i - 1] * i;
fac[i] %= mod;
}
}
int fast_pow ( int a, int b ) {
int res = 1;
while ( b ) {
if ( b & 1 ) {
res = res * a;
res %= mod;
}
b >>= 1;
a = a * a;
a %= mod;
}
return res;
}
int C ( int n, int m ) {
if ( n < m ) {
return 0;
}
return fac[n] * fast_pow ( fac[m], mod - 2 ) % mod * fast_pow ( fac[n - m], mod - 2 ) % mod;
}
void Solve () {
cin >> n >> m;
for ( int i = 1; i <= m; i ++ ) {
cin >> a[i];
}
init ();
sort ( a + 1, a + 1 + m, [] ( int x, int y ) { return x > y; } );
int block = n / m, res = 0;
for ( int i = 1; i <= m; i ++ ) {
ans *= C ( n - a[i] - res, block - 1 ) % mod;
ans %= mod;
// cout << C ( n - a[i] - res, block - 1 ) << '\n';
res += block;
}
cout << ans;
}
signed main () {
#ifdef judge
freopen ( "Code.in", "r", stdin );
freopen ( "Code.out", "w", stdout );
freopen ( "Code.err", "w", stderr );
#endif
Solve ();
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: 0ms
memory: 1216kb
input:
9 3 1 3 4
output:
30
result:
ok 1 number(s): "30"
Test #2:
score: 10
Accepted
time: 0ms
memory: 1220kb
input:
10 5 1 2 3 4 6
output:
96
result:
ok 1 number(s): "96"
Test #3:
score: 10
Accepted
time: 1ms
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: 1224kb
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: 2ms
memory: 2008kb
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: 2088kb
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: 9036kb
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: 4ms
memory: 9104kb
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: 9ms
memory: 9024kb
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: 27ms
memory: 8480kb
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"