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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#776458 | #9782. NonZero PrefSuf Sums | ucup-team191# | AC ✓ | 194ms | 14932kb | C++23 | 1.7kb | 2024-11-23 18:47:44 | 2024-11-23 18:47:45 |
Judging History
answer
#include <bits/stdc++.h>
#define X first
#define Y second
#define PB push_back
#define x first
#define y second
#define pb push_back
using namespace std;
using ll=long long;
using vi=vector<int>;
using vl=vector<ll>;
using pii=pair<int,int>;
#define all(a) begin(a),end(a)
const int N=110;
const char en='\n';
const ll LLINF=1ll<<60;
int p;
int add(int a,int b)
{
if (a+b>=p) return a+b-p;
return a+b;
}
void ad(int&a,int b)
{
a+=b;
if (a>=p) a-=p;
}
int sub(int a,int b)
{
if (a<b) return a-b+p;
return a-b;
}
int mul(int a,int b)
{
return a*1ll*b%p;
}
int n,m,dp1[N][2*N*N],dp2[N][N][N],cho[N][N],psc[N][N];
int solve()
{
for (int i=0;i<=n;++i) for (int j=0;j<=n;++j) for (int k=0;k<=m;++k) dp2[i][j][k]=0;
dp2[0][0][0]=1;
int c=0;
for (int i=0;i<n;++i) for (int j=0;j<n-i;++j) for (int k=0;k<=m;++k) if (dp2[i][j][k])
{
if (i)
{
int st=mul(cho[n][i],sub(psc[n-i][min(j+k+1,n-i)],psc[n-i][j]));
ad(c,mul(dp2[i][j][k],st));
}
for (int ne=1;ne<=m && j+ne<n-(i+1);++ne)
{
ad(dp2[i+1][j+ne][max(k,ne)],dp2[i][j][k]);
}
}
return c;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
cin>>n>>m>>p;
for (int i=0;i<=n;++i)
{
cho[i][0]=1;
psc[i][0]=1;
for (int j=1;j<=i;++j)
{
cho[i][j]=add(cho[i-1][j],cho[i-1][j-1]);
psc[i][j]=add(psc[i][j-1],cho[i][j]);
}
}
int an=2*n*m;
dp1[0][N*N]=1;
for (int i=0;i<n;++i) for (int j=N*N-m*i;j<=N*N+m*i;++j) for (int k=-m;k<=m;++k) ad(dp1[i+1][j+k],dp1[i][j]);
ad(an,dp1[n][N*N]);
//cout<<an<<en;
for (int x=1;x<=m;++x)
{
int m1=m;
m/=x;
int cs=solve();
ad(an,mul(cs,2));
m=m1;
}
int sv=1;
for (int i=0;i<n;++i) sv=mul(sv,2*m+1);
cout<<sub(sv,an)<<en;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 5648kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #2:
score: 0
Accepted
time: 19ms
memory: 10144kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #3:
score: 0
Accepted
time: 1ms
memory: 5712kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #4:
score: 0
Accepted
time: 15ms
memory: 10136kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #5:
score: 0
Accepted
time: 34ms
memory: 10188kb
input:
61 75 677323601
output:
34613998
result:
ok single line: '34613998'
Test #6:
score: 0
Accepted
time: 0ms
memory: 5816kb
input:
13 14 670577333
output:
41465431
result:
ok single line: '41465431'
Test #7:
score: 0
Accepted
time: 0ms
memory: 5844kb
input:
14 6 987686347
output:
37536510
result:
ok single line: '37536510'
Test #8:
score: 0
Accepted
time: 1ms
memory: 5856kb
input:
15 12 196428923
output:
29322522
result:
ok single line: '29322522'
Test #9:
score: 0
Accepted
time: 0ms
memory: 9444kb
input:
68 7 786815587
output:
149281835
result:
ok single line: '149281835'
Test #10:
score: 0
Accepted
time: 1ms
memory: 5696kb
input:
3 2 503002109
output:
82
result:
ok single line: '82'
Test #11:
score: 0
Accepted
time: 1ms
memory: 7768kb
input:
13 5 756093197
output:
415698676
result:
ok single line: '415698676'
Test #12:
score: 0
Accepted
time: 1ms
memory: 5760kb
input:
2 3 646574611
output:
30
result:
ok single line: '30'
Test #13:
score: 0
Accepted
time: 14ms
memory: 8564kb
input:
39 68 120037189
output:
43217507
result:
ok single line: '43217507'
Test #14:
score: 0
Accepted
time: 0ms
memory: 5936kb
input:
13 4 423132517
output:
360231790
result:
ok single line: '360231790'
Test #15:
score: 0
Accepted
time: 0ms
memory: 5864kb
input:
14 3 309713387
output:
94215386
result:
ok single line: '94215386'
Test #16:
score: 0
Accepted
time: 7ms
memory: 7976kb
input:
24 77 886983941
output:
211636479
result:
ok single line: '211636479'
Test #17:
score: 0
Accepted
time: 1ms
memory: 7800kb
input:
3 3 504388063
output:
270
result:
ok single line: '270'
Test #18:
score: 0
Accepted
time: 1ms
memory: 7816kb
input:
3 1 936205423
output:
8
result:
ok single line: '8'
Test #19:
score: 0
Accepted
time: 1ms
memory: 5704kb
input:
3 3 295983139
output:
270
result:
ok single line: '270'
Test #20:
score: 0
Accepted
time: 1ms
memory: 5816kb
input:
10 15 446169107
output:
149884328
result:
ok single line: '149884328'
Test #21:
score: 0
Accepted
time: 2ms
memory: 6756kb
input:
37 18 833753929
output:
592917251
result:
ok single line: '592917251'
Test #22:
score: 0
Accepted
time: 1ms
memory: 5848kb
input:
11 3 998773403
output:
860630017
result:
ok single line: '860630017'
Test #23:
score: 0
Accepted
time: 3ms
memory: 7748kb
input:
14 85 688036639
output:
347188409
result:
ok single line: '347188409'
Test #24:
score: 0
Accepted
time: 1ms
memory: 5696kb
input:
3 3 844621907
output:
270
result:
ok single line: '270'
Test #25:
score: 0
Accepted
time: 1ms
memory: 5620kb
input:
3 4 204335891
output:
620
result:
ok single line: '620'
Test #26:
score: 0
Accepted
time: 1ms
memory: 7792kb
input:
7 8 113007667
output:
58946097
result:
ok single line: '58946097'
Test #27:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
4 1 637268377
output:
22
result:
ok single line: '22'
Test #28:
score: 0
Accepted
time: 1ms
memory: 5832kb
input:
11 14 391637237
output:
303270280
result:
ok single line: '303270280'
Test #29:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
3 2 208286231
output:
82
result:
ok single line: '82'
Test #30:
score: 0
Accepted
time: 0ms
memory: 7752kb
input:
2 11 662696483
output:
462
result:
ok single line: '462'
Test #31:
score: 0
Accepted
time: 0ms
memory: 6080kb
input:
19 55 974135299
output:
887460557
result:
ok single line: '887460557'
Test #32:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
6 8 417027509
output:
23351024
result:
ok single line: '23351024'
Test #33:
score: 0
Accepted
time: 1ms
memory: 7856kb
input:
8 13 624006587
output:
353008442
result:
ok single line: '353008442'
Test #34:
score: 0
Accepted
time: 1ms
memory: 5796kb
input:
10 10 740294671
output:
79436611
result:
ok single line: '79436611'
Test #35:
score: 0
Accepted
time: 1ms
memory: 5864kb
input:
11 10 394088657
output:
161476458
result:
ok single line: '161476458'
Test #36:
score: 0
Accepted
time: 1ms
memory: 5720kb
input:
9 27 562853573
output:
135252259
result:
ok single line: '135252259'
Test #37:
score: 0
Accepted
time: 0ms
memory: 5740kb
input:
8 3 829129009
output:
5349034
result:
ok single line: '5349034'
Test #38:
score: 0
Accepted
time: 10ms
memory: 10556kb
input:
51 49 924010279
output:
815049368
result:
ok single line: '815049368'
Test #39:
score: 0
Accepted
time: 1ms
memory: 5784kb
input:
12 2 308466749
output:
223013998
result:
ok single line: '223013998'
Test #40:
score: 0
Accepted
time: 1ms
memory: 5764kb
input:
7 4 567557693
output:
4502296
result:
ok single line: '4502296'
Test #41:
score: 0
Accepted
time: 22ms
memory: 8428kb
input:
36 93 943780729
output:
13599465
result:
ok single line: '13599465'
Test #42:
score: 0
Accepted
time: 1ms
memory: 5696kb
input:
2 1 828681127
output:
2
result:
ok single line: '2'
Test #43:
score: 0
Accepted
time: 0ms
memory: 5624kb
input:
3 3 534160729
output:
270
result:
ok single line: '270'
Test #44:
score: 0
Accepted
time: 0ms
memory: 5664kb
input:
7 12 920925433
output:
453086694
result:
ok single line: '453086694'
Test #45:
score: 0
Accepted
time: 1ms
memory: 7712kb
input:
3 2 440546987
output:
82
result:
ok single line: '82'
Test #46:
score: 0
Accepted
time: 4ms
memory: 9844kb
input:
90 9 291269963
output:
72560304
result:
ok single line: '72560304'
Test #47:
score: 0
Accepted
time: 0ms
memory: 8208kb
input:
38 10 867575113
output:
165530481
result:
ok single line: '165530481'
Test #48:
score: 0
Accepted
time: 8ms
memory: 10268kb
input:
48 37 152663531
output:
135425620
result:
ok single line: '135425620'
Test #49:
score: 0
Accepted
time: 0ms
memory: 7872kb
input:
15 15 991731803
output:
102703562
result:
ok single line: '102703562'
Test #50:
score: 0
Accepted
time: 194ms
memory: 14932kb
input:
100 100 696969697
output:
313377809
result:
ok single line: '313377809'
Extra Test:
score: 0
Extra Test Passed