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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 |
---|---|---|---|---|---|---|---|---|---|
#904244 | #9782. NonZero PrefSuf Sums | i_am_noob | AC ✓ | 9ms | 30972kb | C++14 | 2.6kb | 2025-02-18 01:24:32 | 2025-02-18 01:24:32 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using pii=pair<int,int>;
#define all(a) a.begin(),a.end()
#define sz(a) ((int)a.size())
#define pb push_back
const int N=105;
int mod;
int add(int x, int y){
x+=y; if(x>=mod) x-=mod;
return x;
}
int sub(int x, int y){
x-=y; if(x<0) x+=mod;
return x;
}
int mul(int x, int y){
return ((ll)x)*y%mod;
}
int Pow(int x, ll y){
int res=1;
for(; y; x=mul(x,x),y>>=1) if(y&1) res=mul(res,x);
return res;
}
int n,m,C[N][N],dp[N][N*N*2],sum[N][N*N*2],dp2[N][N][N],sum2[N][N][N];
void build_dp(int mx){
memset(dp,0,sizeof dp);
memset(sum,0,sizeof sum);
dp[0][0]=1;
for(int i=0; i<N*N*2; ++i) sum[0][i]=1;
for(int i=1; i<=n; ++i){
for(int j=0; j<=mx*i; ++j){
dp[i][j]=sum[i-1][j];
if(j-mx-1>=0) dp[i][j]=sub(dp[i][j],sum[i-1][j-mx-1]);
}
sum[i][0]=dp[i][0];
for(int j=1; j<=mx*(i+1); ++j){
sum[i][j]=add(sum[i][j-1],dp[i][j]);
}
}
}
signed main(){
ios_base::sync_with_stdio(0),cin.tie(0);
cin >> n >> m >> mod;
C[0][0]=1;
for(int i=1; i<N; ++i){
for(int j=0; j<=i; ++j){
if(j==0||j==i) C[i][j]=1;
else C[i][j]=add(C[i-1][j-1],C[i-1][j]);
}
}
int res=Pow(2*m+1,n);
build_dp(m*2);
for(int mx=0; mx<=n; ++mx){
dp2[mx][0][0]=1;
for(int i=0; i<N; ++i) sum2[mx][0][i]=1;
for(int i=1; i<=n; ++i){
for(int j=0; j<=n; ++j){
dp2[mx][i][j]=sum2[mx][i-1][j];
if(j-mx-1>=0) dp2[mx][i][j]=sub(dp2[mx][i][j],sum2[mx][i-1][j-mx-1]);
}
sum2[mx][i][0]=dp2[mx][i][0];
for(int j=1; j<=n; ++j){
sum2[mx][i][j]=add(sum2[mx][i][j-1],dp2[mx][i][j]);
}
}
}
for(int mx=n; mx>=1; --mx){
for(int i=0; i<N; ++i) for(int j=0; j<N; ++j) dp2[mx][i][j]=sub(dp2[mx][i][j],dp2[mx-1][i][j]);
}
res=sub(res,dp[n][n*m]);
//cout << res << "\n";
for(int x=1; x<=m; ++x){
int y=x;
while(y+1<=m&&m/(y+1)==m/x) y++;
int tot=0;
for(int mx=0; mx<=m/x; ++mx){
for(int i=0; i<n; ++i){
for(int j=0; j<=n; ++j) if(j<n-i){
if(j+mx+2>n-i){
tot=add(tot,mul(C[n][i],dp2[mx][i][j]));
//cout << mx << ' ' << i << ' ' << j << ' ' << dp2[mx][i][j] << "\n";
}
}
}
}
res=sub(res,mul(tot,2*(y-x+1)));
x=y;
}
cout << res << "\n";
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 23968kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #2:
score: 0
Accepted
time: 4ms
memory: 30400kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #3:
score: 0
Accepted
time: 1ms
memory: 25520kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #4:
score: 0
Accepted
time: 3ms
memory: 30792kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #5:
score: 0
Accepted
time: 5ms
memory: 30556kb
input:
61 75 677323601
output:
34613998
result:
ok single line: '34613998'
Test #6:
score: 0
Accepted
time: 1ms
memory: 24900kb
input:
13 14 670577333
output:
41465431
result:
ok single line: '41465431'
Test #7:
score: 0
Accepted
time: 0ms
memory: 28476kb
input:
14 6 987686347
output:
37536510
result:
ok single line: '37536510'
Test #8:
score: 0
Accepted
time: 1ms
memory: 28320kb
input:
15 12 196428923
output:
29322522
result:
ok single line: '29322522'
Test #9:
score: 0
Accepted
time: 1ms
memory: 30508kb
input:
68 7 786815587
output:
149281835
result:
ok single line: '149281835'
Test #10:
score: 0
Accepted
time: 0ms
memory: 25764kb
input:
3 2 503002109
output:
82
result:
ok single line: '82'
Test #11:
score: 0
Accepted
time: 1ms
memory: 25172kb
input:
13 5 756093197
output:
415698676
result:
ok single line: '415698676'
Test #12:
score: 0
Accepted
time: 0ms
memory: 24620kb
input:
2 3 646574611
output:
30
result:
ok single line: '30'
Test #13:
score: 0
Accepted
time: 1ms
memory: 30060kb
input:
39 68 120037189
output:
43217507
result:
ok single line: '43217507'
Test #14:
score: 0
Accepted
time: 2ms
memory: 25488kb
input:
13 4 423132517
output:
360231790
result:
ok single line: '360231790'
Test #15:
score: 0
Accepted
time: 1ms
memory: 28144kb
input:
14 3 309713387
output:
94215386
result:
ok single line: '94215386'
Test #16:
score: 0
Accepted
time: 0ms
memory: 30296kb
input:
24 77 886983941
output:
211636479
result:
ok single line: '211636479'
Test #17:
score: 0
Accepted
time: 2ms
memory: 26320kb
input:
3 3 504388063
output:
270
result:
ok single line: '270'
Test #18:
score: 0
Accepted
time: 0ms
memory: 23872kb
input:
3 1 936205423
output:
8
result:
ok single line: '8'
Test #19:
score: 0
Accepted
time: 0ms
memory: 25840kb
input:
3 3 295983139
output:
270
result:
ok single line: '270'
Test #20:
score: 0
Accepted
time: 1ms
memory: 26604kb
input:
10 15 446169107
output:
149884328
result:
ok single line: '149884328'
Test #21:
score: 0
Accepted
time: 2ms
memory: 26532kb
input:
37 18 833753929
output:
592917251
result:
ok single line: '592917251'
Test #22:
score: 0
Accepted
time: 0ms
memory: 25652kb
input:
11 3 998773403
output:
860630017
result:
ok single line: '860630017'
Test #23:
score: 0
Accepted
time: 1ms
memory: 24852kb
input:
14 85 688036639
output:
347188409
result:
ok single line: '347188409'
Test #24:
score: 0
Accepted
time: 0ms
memory: 24692kb
input:
3 3 844621907
output:
270
result:
ok single line: '270'
Test #25:
score: 0
Accepted
time: 1ms
memory: 24692kb
input:
3 4 204335891
output:
620
result:
ok single line: '620'
Test #26:
score: 0
Accepted
time: 1ms
memory: 24816kb
input:
7 8 113007667
output:
58946097
result:
ok single line: '58946097'
Test #27:
score: 0
Accepted
time: 0ms
memory: 25260kb
input:
4 1 637268377
output:
22
result:
ok single line: '22'
Test #28:
score: 0
Accepted
time: 0ms
memory: 26128kb
input:
11 14 391637237
output:
303270280
result:
ok single line: '303270280'
Test #29:
score: 0
Accepted
time: 1ms
memory: 26696kb
input:
3 2 208286231
output:
82
result:
ok single line: '82'
Test #30:
score: 0
Accepted
time: 1ms
memory: 25740kb
input:
2 11 662696483
output:
462
result:
ok single line: '462'
Test #31:
score: 0
Accepted
time: 1ms
memory: 28504kb
input:
19 55 974135299
output:
887460557
result:
ok single line: '887460557'
Test #32:
score: 0
Accepted
time: 1ms
memory: 25824kb
input:
6 8 417027509
output:
23351024
result:
ok single line: '23351024'
Test #33:
score: 0
Accepted
time: 2ms
memory: 24924kb
input:
8 13 624006587
output:
353008442
result:
ok single line: '353008442'
Test #34:
score: 0
Accepted
time: 0ms
memory: 25392kb
input:
10 10 740294671
output:
79436611
result:
ok single line: '79436611'
Test #35:
score: 0
Accepted
time: 0ms
memory: 25236kb
input:
11 10 394088657
output:
161476458
result:
ok single line: '161476458'
Test #36:
score: 0
Accepted
time: 1ms
memory: 24880kb
input:
9 27 562853573
output:
135252259
result:
ok single line: '135252259'
Test #37:
score: 0
Accepted
time: 1ms
memory: 24724kb
input:
8 3 829129009
output:
5349034
result:
ok single line: '5349034'
Test #38:
score: 0
Accepted
time: 2ms
memory: 30176kb
input:
51 49 924010279
output:
815049368
result:
ok single line: '815049368'
Test #39:
score: 0
Accepted
time: 4ms
memory: 28004kb
input:
12 2 308466749
output:
223013998
result:
ok single line: '223013998'
Test #40:
score: 0
Accepted
time: 0ms
memory: 26140kb
input:
7 4 567557693
output:
4502296
result:
ok single line: '4502296'
Test #41:
score: 0
Accepted
time: 1ms
memory: 26836kb
input:
36 93 943780729
output:
13599465
result:
ok single line: '13599465'
Test #42:
score: 0
Accepted
time: 0ms
memory: 25428kb
input:
2 1 828681127
output:
2
result:
ok single line: '2'
Test #43:
score: 0
Accepted
time: 0ms
memory: 23876kb
input:
3 3 534160729
output:
270
result:
ok single line: '270'
Test #44:
score: 0
Accepted
time: 2ms
memory: 26732kb
input:
7 12 920925433
output:
453086694
result:
ok single line: '453086694'
Test #45:
score: 0
Accepted
time: 0ms
memory: 25296kb
input:
3 2 440546987
output:
82
result:
ok single line: '82'
Test #46:
score: 0
Accepted
time: 4ms
memory: 30816kb
input:
90 9 291269963
output:
72560304
result:
ok single line: '72560304'
Test #47:
score: 0
Accepted
time: 0ms
memory: 27512kb
input:
38 10 867575113
output:
165530481
result:
ok single line: '165530481'
Test #48:
score: 0
Accepted
time: 2ms
memory: 28720kb
input:
48 37 152663531
output:
135425620
result:
ok single line: '135425620'
Test #49:
score: 0
Accepted
time: 1ms
memory: 26464kb
input:
15 15 991731803
output:
102703562
result:
ok single line: '102703562'
Test #50:
score: 0
Accepted
time: 9ms
memory: 30972kb
input:
100 100 696969697
output:
313377809
result:
ok single line: '313377809'
Extra Test:
score: 0
Extra Test Passed