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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 |
---|---|---|---|---|---|---|---|---|---|
#884792 | #9782. NonZero PrefSuf Sums | phelixzhen_false | AC ✓ | 822ms | 19840kb | C++26 | 2.7kb | 2025-02-06 10:49:26 | 2025-02-06 10:49:27 |
Judging History
answer
#include<bits/stdc++.h>
bool Mbg;
using namespace std;
#define vec vector
#define pb push_back
#define eb emplace_back
#define siz(vec) ((int)(vec).size())
#define all(vec) (vec).begin(),(vec).end()
template<class T>
void operator +=(vec<T> &a,T b){a.push_back(b);}
template<class T>
void operator --(vec<T> &a){a.pop_back();}
#define pii pair<int,int>
#define x first
#define y second
#define mp make_pair
#define exc(exp) if(exp)continue;
#define stop(exp) if(exp)break;
#define ret(exp) if(exp)return;
#define deb(var) cerr<<#var<<'='<<(var)<<"; "
#define debl(var) cerr<<#var<<'='<<(var)<<";\n"
#define ins insert
#define era erase
#define lb lower_bound
#define ub upper_bound
#define int long long
#define inf (long long)(1e18)
template<class T>
bool Min(T &x,T y){return x>y?x=y,1:0;}
template<class T>
bool Max(T &x,T y){return x<y?x=y,1:0;}
int mod;
void Add(int &x,int y){x=x+y<mod?x+y:x+y-mod;}
void Dec(int &x,int y){x=x>=y?x-y:x-y+mod;}
int fpm(int x,int y){
int ans=1;for(;y;y>>=1,x=1ll*x*x%mod)if(y&1)ans=1ll*x*ans%mod;return ans;
}
const int D=10000;
int n,m,ans;
int f[110][20110],g[20110];
void sol(int m,int* f){
f[D]=1;
for(int i=1;i<=n;i++){
for(int j=0;j<=2*D+m;j++){
g[j]=f[j];
if(j)Add(g[j],g[j-1]);
}
for(int j=2*D;j;j--){
f[j]=f[j-1];
}
f[0]=0;
for(int j=0;j<=2*D;j++){
Add(f[j],g[j+m]);
if(j)Add(f[j],mod-g[j-1]);
}
}
}
void sol2(int* f){
f[D]=1;
for(int i=1;i<=n;i++){
for(int j=0;j<=2*D+m;j++){
g[j]=f[j];
if(j)Add(g[j],g[j-1]);
}
for(int j=0;j<=2*D;j++){
f[j]=g[j+m];
if(j>m){
Add(f[j],mod-g[j-m-1]);
}
}
}
Add(ans,f[D]);
}
void work(){
cin>>n>>m>>mod;
for(int i=-1;i<=m;i++){
sol(i,f[i+1]);
}
for(int p=1;p<=m;p++){
// max negative>=sum-1
// sum>0
// max negative<=m/p
//p,2p,3p,...
for(int s=D+1;s<=D*2;s++){
Add(ans,f[m/p+1][s]);
}
for(int s=1;s<=n*m;s++){
Add(ans,mod-f[min(m/p,s-2)+1][s+D]);
}
}
(ans*=2)%=mod;
sol2(f[m+2]);
cout<<(fpm(2*m+1,n)+mod-ans%mod)%mod<<'\n';
}
bool Med;
signed main(){
ios::sync_with_stdio(0),
cin.tie(0),cout.tie(0);
int T=1;while(T--)work();
// cerr<<"Time: "<<clock()<<" ms;\n";
// cerr<<"Memory: "<<abs(&Med-&Mbg)/1024.0/1024.0<<" MiB.\n";
}
/*
- CONTINUE, NON-STOPPING, FOR THE FAITH
- START TYPING IF YOU DON'T KNOW WHAT TO DO
- STOP TYPING IF YOU DON'T KNOW WHAT YOU'RE DOING
*/
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 4480kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #2:
score: 0
Accepted
time: 224ms
memory: 11056kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #3:
score: 0
Accepted
time: 1ms
memory: 6360kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #4:
score: 0
Accepted
time: 227ms
memory: 10848kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #5:
score: 0
Accepted
time: 357ms
memory: 15976kb
input:
61 75 677323601
output:
34613998
result:
ok single line: '34613998'
Test #6:
score: 0
Accepted
time: 15ms
memory: 6728kb
input:
13 14 670577333
output:
41465431
result:
ok single line: '41465431'
Test #7:
score: 0
Accepted
time: 10ms
memory: 5248kb
input:
14 6 987686347
output:
37536510
result:
ok single line: '37536510'
Test #8:
score: 0
Accepted
time: 15ms
memory: 6272kb
input:
15 12 196428923
output:
29322522
result:
ok single line: '29322522'
Test #9:
score: 0
Accepted
time: 49ms
memory: 5376kb
input:
68 7 786815587
output:
149281835
result:
ok single line: '149281835'
Test #10:
score: 0
Accepted
time: 1ms
memory: 5624kb
input:
3 2 503002109
output:
82
result:
ok single line: '82'
Test #11:
score: 0
Accepted
time: 9ms
memory: 5120kb
input:
13 5 756093197
output:
415698676
result:
ok single line: '415698676'
Test #12:
score: 0
Accepted
time: 1ms
memory: 6196kb
input:
2 3 646574611
output:
30
result:
ok single line: '30'
Test #13:
score: 0
Accepted
time: 200ms
memory: 16100kb
input:
39 68 120037189
output:
43217507
result:
ok single line: '43217507'
Test #14:
score: 0
Accepted
time: 6ms
memory: 6520kb
input:
13 4 423132517
output:
360231790
result:
ok single line: '360231790'
Test #15:
score: 0
Accepted
time: 6ms
memory: 4736kb
input:
14 3 309713387
output:
94215386
result:
ok single line: '94215386'
Test #16:
score: 0
Accepted
time: 138ms
memory: 16396kb
input:
24 77 886983941
output:
211636479
result:
ok single line: '211636479'
Test #17:
score: 0
Accepted
time: 1ms
memory: 5736kb
input:
3 3 504388063
output:
270
result:
ok single line: '270'
Test #18:
score: 0
Accepted
time: 2ms
memory: 6108kb
input:
3 1 936205423
output:
8
result:
ok single line: '8'
Test #19:
score: 0
Accepted
time: 1ms
memory: 4736kb
input:
3 3 295983139
output:
270
result:
ok single line: '270'
Test #20:
score: 0
Accepted
time: 14ms
memory: 6784kb
input:
10 15 446169107
output:
149884328
result:
ok single line: '149884328'
Test #21:
score: 0
Accepted
time: 55ms
memory: 7936kb
input:
37 18 833753929
output:
592917251
result:
ok single line: '592917251'
Test #22:
score: 0
Accepted
time: 5ms
memory: 4736kb
input:
11 3 998773403
output:
860630017
result:
ok single line: '860630017'
Test #23:
score: 0
Accepted
time: 87ms
memory: 17656kb
input:
14 85 688036639
output:
347188409
result:
ok single line: '347188409'
Test #24:
score: 0
Accepted
time: 2ms
memory: 4864kb
input:
3 3 844621907
output:
270
result:
ok single line: '270'
Test #25:
score: 0
Accepted
time: 1ms
memory: 4864kb
input:
3 4 204335891
output:
620
result:
ok single line: '620'
Test #26:
score: 0
Accepted
time: 5ms
memory: 6324kb
input:
7 8 113007667
output:
58946097
result:
ok single line: '58946097'
Test #27:
score: 0
Accepted
time: 1ms
memory: 4352kb
input:
4 1 637268377
output:
22
result:
ok single line: '22'
Test #28:
score: 0
Accepted
time: 13ms
memory: 7244kb
input:
11 14 391637237
output:
303270280
result:
ok single line: '303270280'
Test #29:
score: 0
Accepted
time: 0ms
memory: 4608kb
input:
3 2 208286231
output:
82
result:
ok single line: '82'
Test #30:
score: 0
Accepted
time: 2ms
memory: 7144kb
input:
2 11 662696483
output:
462
result:
ok single line: '462'
Test #31:
score: 0
Accepted
time: 78ms
memory: 12992kb
input:
19 55 974135299
output:
887460557
result:
ok single line: '887460557'
Test #32:
score: 0
Accepted
time: 2ms
memory: 5504kb
input:
6 8 417027509
output:
23351024
result:
ok single line: '23351024'
Test #33:
score: 0
Accepted
time: 9ms
memory: 6400kb
input:
8 13 624006587
output:
353008442
result:
ok single line: '353008442'
Test #34:
score: 0
Accepted
time: 9ms
memory: 5760kb
input:
10 10 740294671
output:
79436611
result:
ok single line: '79436611'
Test #35:
score: 0
Accepted
time: 11ms
memory: 6644kb
input:
11 10 394088657
output:
161476458
result:
ok single line: '161476458'
Test #36:
score: 0
Accepted
time: 17ms
memory: 8448kb
input:
9 27 562853573
output:
135252259
result:
ok single line: '135252259'
Test #37:
score: 0
Accepted
time: 4ms
memory: 5860kb
input:
8 3 829129009
output:
5349034
result:
ok single line: '5349034'
Test #38:
score: 0
Accepted
time: 193ms
memory: 11984kb
input:
51 49 924010279
output:
815049368
result:
ok single line: '815049368'
Test #39:
score: 0
Accepted
time: 5ms
memory: 6360kb
input:
12 2 308466749
output:
223013998
result:
ok single line: '223013998'
Test #40:
score: 0
Accepted
time: 3ms
memory: 4864kb
input:
7 4 567557693
output:
4502296
result:
ok single line: '4502296'
Test #41:
score: 0
Accepted
time: 258ms
memory: 18924kb
input:
36 93 943780729
output:
13599465
result:
ok single line: '13599465'
Test #42:
score: 0
Accepted
time: 1ms
memory: 4352kb
input:
2 1 828681127
output:
2
result:
ok single line: '2'
Test #43:
score: 0
Accepted
time: 0ms
memory: 4736kb
input:
3 3 534160729
output:
270
result:
ok single line: '270'
Test #44:
score: 0
Accepted
time: 7ms
memory: 7584kb
input:
7 12 920925433
output:
453086694
result:
ok single line: '453086694'
Test #45:
score: 0
Accepted
time: 2ms
memory: 4608kb
input:
3 2 440546987
output:
82
result:
ok single line: '82'
Test #46:
score: 0
Accepted
time: 75ms
memory: 5632kb
input:
90 9 291269963
output:
72560304
result:
ok single line: '72560304'
Test #47:
score: 0
Accepted
time: 35ms
memory: 7588kb
input:
38 10 867575113
output:
165530481
result:
ok single line: '165530481'
Test #48:
score: 0
Accepted
time: 138ms
memory: 9984kb
input:
48 37 152663531
output:
135425620
result:
ok single line: '135425620'
Test #49:
score: 0
Accepted
time: 19ms
memory: 7208kb
input:
15 15 991731803
output:
102703562
result:
ok single line: '102703562'
Test #50:
score: 0
Accepted
time: 822ms
memory: 19840kb
input:
100 100 696969697
output:
313377809
result:
ok single line: '313377809'
Extra Test:
score: 0
Extra Test Passed