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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 |
---|---|---|---|---|---|---|---|---|---|
#300425 | #7774. 基础寄术练习题 | hjl666 | 100 ✓ | 202ms | 39936kb | C++14 | 2.0kb | 2024-01-08 11:05:50 | 2024-01-08 11:05:50 |
Judging History
answer
#include<bits/stdc++.h>
#define int ll
#define ll long long
#define db double
#define MP make_pair
#define vec vector<int>
#define pii pair<int,int>
#define pb emplace_back
#define fi first
#define se second
#define ls k<<1
#define rs k<<1|1
#define CLK (double)clock()/CLOCKS_PER_SEC
using namespace std;
mt19937 rnd(time(0));
int read(){
int x=0,f=1;char c=getchar();
while(c<'0'||c>'9'){if(c=='-')f=-1;c=getchar();}
while(c>='0'&&c<='9'){x=x*10+c-'0';c=getchar();}
return x*f;
}
void write(int x){
if(x<0){putchar('-');write(-x);}
else {
if(x>9)write(x/10);
putchar(x%10+'0');
}
}
const int N=105;
int n,m,k,mod,inv[N*N];
void add(int &x,int y){x+=y;if(x>=mod)x-=mod;}
void init(int n){
inv[0]=inv[1]=1;
for(int i=2;i<=n;i++)inv[i]=(mod-mod/i)*inv[mod%i]%mod;
}
int f[N][N];
void Solve1(){
f[0][0]=1;
for(int i=1;i<=m;i++)for(int j=0;j<i;j++){
add(f[i][j],f[i-1][j]);
add(f[i][j+1],f[i-1][j]*inv[i]%mod);
}
cout<<f[m][n]<<"\n";
}
int g[2][N][N*N][2],p;
void New(){p^=1;memset(g[p],0,sizeof g[p]);}
void Solve2(){
g[p][0][0][0]=1;//valspace,cnt_S,sum_T,had a_1
int s=0,ans=0;
for(int i=1;i<=m;s+=i,i++){
New();
for(int j=0;j<i;j++)for(int k=0;k<=s;k++)
for(int l=0;l<2;l++)if(g[p^1][j][k][l]){
int res=g[p^1][j][k][l];
add(g[p][j][k][l],res);
add(g[p][j+1][k][l],res*inv[i]%mod);
add(g[p][j+1][k+i][l],(mod-res)*inv[i]%mod);
if(!l)add(g[p][j+1][k+i][1],res*i%mod);
}
}
for(int i=0;i<=s;i++)if(g[p][n][i][1])
add(ans,g[p][n][i][1]*inv[i]%mod);
cout<<(ans+mod)%mod<<"\n";
}
void MAIN(){
n=read(),m=read(),k=read(),mod=read();init(10000);
if(k==1)Solve1();
else Solve2();
}
signed main(){
// freopen("read.in","r",stdin);
//freopen("write.out","w",stdout);
int T=1;while(T--)MAIN();
// printf("\nTIME:%lf\n",CLK);
return 0;
}
// g++ qoj7774.cpp -o qoj7774 -std=c++14 -O2
詳細信息
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 3608kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 11ms
memory: 39828kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 13ms
memory: 39936kb
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: 3672kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3692kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 19ms
memory: 39764kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 24ms
memory: 39772kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 22ms
memory: 39648kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 23ms
memory: 39644kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3632kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 20ms
memory: 39884kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 31ms
memory: 39768kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 26ms
memory: 39792kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 24ms
memory: 39708kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3632kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 40ms
memory: 39880kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 33ms
memory: 39884kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 27ms
memory: 39828kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 30ms
memory: 39772kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 75ms
memory: 39824kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 81ms
memory: 39924kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 68ms
memory: 39784kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 92ms
memory: 39884kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3708kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 202ms
memory: 39848kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 197ms
memory: 39788kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 188ms
memory: 39832kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 176ms
memory: 39764kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3696kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'