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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 |
---|---|---|---|---|---|---|---|---|---|
#269318 | #7774. 基础寄术练习题 | 275307894a | 100 ✓ | 198ms | 19548kb | C++14 | 1.7kb | 2023-11-29 15:06:38 | 2023-11-29 15:06:41 |
Judging History
answer
#include<bits/stdc++.h>
#define Gc() getchar()
#define Me(x,y) memset(x,y,sizeof(x))
#define Mc(x,y) memcpy(x,y,sizeof(x))
#define d(x,y) ((m)*(x-1)+(y))
#define R(n) (rnd()%(n)+1)
#define Pc(x) putchar(x)
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define eb emplace_back
using namespace std;using ll=long long;using db=double;using lb=long db;using ui=unsigned;using ull=unsigned long long;using pii=pair<int,int>;
const int N=100+5,M=8e5+5,K=(1<<25)+5,mod=1e9+9,Mod=mod-1;const db eps=1e-9;const int INF=1e9+7;mt19937 rnd(time(0));
int n,m,k,p,lim;ll inv[N*N];
namespace Solve1{
ll f[N][N];
void solve(){
int i,j;f[0][0]=1;
for(i=1;i<=m;i++){
for(j=0;j<=n;j++) f[i][j]=f[i-1][j];
for(j=1;j<=n;j++) f[i][j]=(f[i-1][j-1]*inv[i]+f[i-1][j])%p;
}
printf("%lld\n",f[m][n]);
}
}
namespace Solve2{
ll f[N][N*N/2][2],g[N][N*N/2][2];
void solve(){
int i,j,h;lim=n*(m+m-n+1)/2;
f[0][0][0]=1;
for(i=1;i<=m;i++){
Mc(g,f);
for(j=1;j<=n&&j<=i;j++) {
int l2=(i+i-j+1)*j/2;
for(h=0;h<=l2;h++) for(int o=0;o<2;o++) f[j][h][o]=(f[j][h][o]+g[j-1][h][o]*inv[i])%p;
for(h=i;h<=l2;h++) for(int o=0;o<2;o++) f[j][h][o]=(f[j][h][o]+g[j-1][h-i][o]*(p-inv[i])%p)%p;
for(h=i;h<=l2;h++) f[j][h][1]=(f[j][h][1]+g[j-1][h-i][0]*i)%p;
}
}
ll ans=0;for(i=0;i<=lim;i++) ans+=f[n][i][1]*inv[i]%p;
printf("%lld\n",ans%p);
}
}
void Solve(){
int i,j,h;scanf("%d%d%d%d",&n,&m,&k,&p);
inv[0]=inv[1]=1;for(i=2;i<=n*m;i++) inv[i]=(p-inv[p%i])*(p/i)%p;
if(k==1) Solve1::solve();
else Solve2::solve();
}
int main(){
int t=1;
// scanf("%d",&t);
while(t--) Solve();
cerr<<clock()*1.0/CLOCKS_PER_SEC<<'\n';
}
详细
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 4020kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 4048kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 8ms
memory: 13280kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 12ms
memory: 13732kb
input:
11 17 2 617904383
output:
393900291
result:
ok single line: '393900291'
Subtask #2:
score: 25
Accepted
Test #6:
score: 25
Accepted
time: 1ms
memory: 4132kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 1ms
memory: 4140kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 1ms
memory: 4144kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 1ms
memory: 4140kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 1ms
memory: 4076kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 18ms
memory: 15152kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 15ms
memory: 13496kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 14ms
memory: 15012kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 16ms
memory: 13648kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 4056kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 18ms
memory: 13944kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 15ms
memory: 13308kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 16ms
memory: 14536kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 20ms
memory: 14252kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 4044kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 27ms
memory: 14840kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 30ms
memory: 14004kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 22ms
memory: 14404kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 25ms
memory: 13836kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 4084kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 66ms
memory: 15996kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 68ms
memory: 15820kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 60ms
memory: 14776kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 80ms
memory: 15792kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 4128kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 198ms
memory: 19548kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 191ms
memory: 17972kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 177ms
memory: 18612kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 169ms
memory: 18612kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 1ms
memory: 4180kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'