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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#103980 | #2568. Mountains | Sorting | AC ✓ | 3ms | 3668kb | C++20 | 2.4kb | 2023-05-08 06:14:24 | 2023-05-08 06:14:24 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std ;
typedef long long ll ;
typedef unsigned long long ull ;
typedef pair < int , int > pii ;
typedef vector < int > vi ;
#define fi first
#define se second
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int MAXN = 207 ;
const int MOD = 1e9 + 7 ;
ll fastpow ( ll x , ll pw ) {
ll ret = 1 ;
while ( pw > 0 ) {
if ( ( pw % 2 ) == 0 ) {
x = ( x * x ) % MOD ;
pw /= 2 ;
}
else {
ret = ( ret * x ) % MOD ;
-- pw ;
}
}
return ret ;
}
int n , m , k ;
ll fac[ MAXN ] , inv[ MAXN ] ;
ll comb ( int up , int down ) {
if ( up < down || down < 0 ) { return 0 ; }
ll ret = fac[ up ] ;
ret = ( ret * inv[ down ] ) % MOD ;
ret = ( ret * inv[ up - down ] ) % MOD ;
return ret ;
}
ll a[ MAXN ][ MAXN ] ;
void solve ( ) {
cin >> n >> m >> k ;
fac[ 0 ] = 1 ;
for ( int i = 1 ; i < MAXN ; ++ i ) {
fac[ i ] = ( fac[ i - 1 ] * i ) % MOD ;
}
inv[ MAXN - 1 ] = fastpow ( fac[ MAXN - 1 ] , MOD - 2 ) ;
for ( int i = MAXN - 2 ; i >= 0 ; -- i ) {
inv[ i ] = ( inv[ i + 1 ] * ( i + 1 ) ) % MOD ;
}
for ( int i = 1 ; i <= m ; ++ i ) {
for ( int j = 1 ; j <= m ; ++ j ) {
a[ i ][ j ] = comb ( k + n , k - i + j ) ;
}
}
ll ans = 1 ;
for ( int i = 1 ; i <= m ; ++ i ) {
if ( a[ i ][ i ] == 0 ) {
for ( int j = i + 1 ; j <= m ; ++ j ) {
if ( a[ j ][ i ] != 0 ) {
for ( int t = 1 ; t <= m ; ++ t ) {
swap ( a[ i ][ t ] , a[ j ][ t ] ) ;
}
break ;
}
}
}
ans = ( ans * a[ i ][ i ] ) % MOD ;
if ( a[ i ][ i ] == 0 ) { continue ; }
ll coef = fastpow ( a[ i ][ i ] , MOD - 2 ) ;
for ( int j = i + 1 ; j <= m ; ++ j ) {
ll aux = ( coef * a[ j ][ i ] ) % MOD ;
for ( int t = i ; t <= m ; ++ t ) {
a[ j ][ t ] = ( a[ j ][ t ] + MOD - ( aux * a[ i ][ t ] ) % MOD ) % MOD ;
}
}
}
cout << ans << "\n" ;
}
int main ( ) {
ios_base :: sync_with_stdio ( false ) ;
cin.tie ( NULL ) ;
int t = 1 ; // cin >> t ;
while ( t -- ) { solve ( ) ; }
return 0 ;
}
详细
Test #1:
score: 100
Accepted
time: 2ms
memory: 3436kb
input:
1 1 1
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 2ms
memory: 3488kb
input:
2 2 2
output:
20
result:
ok 1 number(s): "20"
Test #3:
score: 0
Accepted
time: 2ms
memory: 3444kb
input:
2 3 4
output:
490
result:
ok 1 number(s): "490"
Test #4:
score: 0
Accepted
time: 2ms
memory: 3536kb
input:
1 2 8
output:
45
result:
ok 1 number(s): "45"
Test #5:
score: 0
Accepted
time: 2ms
memory: 3440kb
input:
1 10 2
output:
66
result:
ok 1 number(s): "66"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3448kb
input:
9 5 7
output:
371850968
result:
ok 1 number(s): "371850968"
Test #7:
score: 0
Accepted
time: 2ms
memory: 3356kb
input:
3 3 1
output:
20
result:
ok 1 number(s): "20"
Test #8:
score: 0
Accepted
time: 2ms
memory: 3496kb
input:
7 7 9
output:
166345303
result:
ok 1 number(s): "166345303"
Test #9:
score: 0
Accepted
time: 2ms
memory: 3360kb
input:
25 15 25
output:
850087558
result:
ok 1 number(s): "850087558"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
45 59 71
output:
659153227
result:
ok 1 number(s): "659153227"
Test #11:
score: 0
Accepted
time: 2ms
memory: 3368kb
input:
73 3 25
output:
683124269
result:
ok 1 number(s): "683124269"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
1 48 78
output:
446896916
result:
ok 1 number(s): "446896916"
Test #13:
score: 0
Accepted
time: 3ms
memory: 3592kb
input:
25 100 32
output:
966287506
result:
ok 1 number(s): "966287506"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
85 64 40
output:
125679545
result:
ok 1 number(s): "125679545"
Test #15:
score: 0
Accepted
time: 1ms
memory: 3492kb
input:
5 9 94
output:
620471576
result:
ok 1 number(s): "620471576"
Test #16:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
33 57 40
output:
637315057
result:
ok 1 number(s): "637315057"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3408kb
input:
61 6 97
output:
362472796
result:
ok 1 number(s): "362472796"
Test #18:
score: 0
Accepted
time: 2ms
memory: 3480kb
input:
85 50 51
output:
192099209
result:
ok 1 number(s): "192099209"
Test #19:
score: 0
Accepted
time: 2ms
memory: 3628kb
input:
96 54 59
output:
714762612
result:
ok 1 number(s): "714762612"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
20 99 12
output:
772155662
result:
ok 1 number(s): "772155662"
Test #21:
score: 0
Accepted
time: 2ms
memory: 3496kb
input:
48 39 62
output:
670046604
result:
ok 1 number(s): "670046604"
Test #22:
score: 0
Accepted
time: 2ms
memory: 3536kb
input:
76 83 16
output:
976820079
result:
ok 1 number(s): "976820079"
Test #23:
score: 0
Accepted
time: 2ms
memory: 3416kb
input:
96 36 61
output:
20854557
result:
ok 1 number(s): "20854557"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3468kb
input:
18 40 77
output:
261684871
result:
ok 1 number(s): "261684871"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
42 84 26
output:
458573307
result:
ok 1 number(s): "458573307"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3400kb
input:
71 25 80
output:
875902815
result:
ok 1 number(s): "875902815"
Test #27:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
95 73 26
output:
922299967
result:
ok 1 number(s): "922299967"
Test #28:
score: 0
Accepted
time: 2ms
memory: 3460kb
input:
19 17 83
output:
494148696
result:
ok 1 number(s): "494148696"
Test #29:
score: 0
Accepted
time: 3ms
memory: 3584kb
input:
100 100 100
output:
192912055
result:
ok 1 number(s): "192912055"
Test #30:
score: 0
Accepted
time: 3ms
memory: 3560kb
input:
100 98 99
output:
412293529
result:
ok 1 number(s): "412293529"