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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 |
---|---|---|---|---|---|---|---|---|---|
#875337 | #9782. NonZero PrefSuf Sums | ucup-team3646# | AC ✓ | 1978ms | 4224kb | C++20 | 2.0kb | 2025-01-29 16:14:13 | 2025-01-29 16:14:14 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, n) for(ll i = 0; i < (n); ++i)
#define rep2(i, l, r) for(ll i = (l); i < (r); ++i)
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
#define all(A) A.begin(), A.end()
#define elif else if
using pii = pair<ll, ll>;
bool chmin(auto &a, auto b) {return a > b ? a = b, 1 : 0;}
bool chmax(auto &a, auto b) {return a < b ? a = b, 1 : 0;}
struct IOS {
IOS() {
cin.tie(0);
ios::sync_with_stdio(0);
}
} iosetup;
template<class T>
void print(vector<T> a) {
for(auto x : a) cout << x << ' ';
cout << endl;
}
void print(auto x) {cout << x << endl;}
template<class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head << ' ';
print(forward<Tail>(tail)...);
}
ll mod;
ll n,m;
int M=110;
ll calc1(){
vector<vll>dp(2*M+1,vll(M+1,0));
int off=M;
dp[off+0][0]=1;
rep(_,n){
vector<vll>ndp(2*M+1,vll(M+1,0));
rep2(sm,-M,M+1){
rep2(mn,0,M+1){
rep2(val,-m,2){
if(-M<=sm+val&&sm+val<=M){
int nsm=sm+val;
int nmn=max(mn,-val);
ndp[nsm+off][nmn]+=dp[sm+off][mn];
ndp[nsm+off][nmn]%=mod;
}
}
}
}
dp=ndp;
}
ll res=0;
rep2(p,1,m+1){
rep2(sm,-M,M+1){
rep2(mn,0,M+1){
if(sm>=1&&mn+2>sm){
if(p*mn<=m){
res+=2*dp[sm+off][mn];
}
}
}
}
}
return res;
}
ll calc2(){
vll dp(2*M*M+1,0);
dp[M*M]=1;
rep(_,n){
vll ndp(2*M*M+1,0);
rep(i,2*M*M+1){
rep2(d,-m,m+1){
if(0<=i+d&&i+d<=2*M*M){
ndp[i+d]+=dp[i];
ndp[i+d]%=mod;
}
}
}
dp=ndp;
}
return dp[M*M];
}
int main(){
cin>>n>>m>>mod;
ll ans=1;
rep(i,n){
ans*=2*m+1;
ans%=mod;
}
ll sub1=calc1();
ll sub2=calc2();
ans-=sub1;
ans-=sub2;
ans%=mod;
ans=(ans+mod)%mod;
cout<<ans<<endl;
}
詳細信息
Test #1:
score: 100
Accepted
time: 2ms
memory: 4224kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #2:
score: 0
Accepted
time: 609ms
memory: 4224kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #4:
score: 0
Accepted
time: 606ms
memory: 4036kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #5:
score: 0
Accepted
time: 926ms
memory: 4096kb
input:
61 75 677323601
output:
34613998
result:
ok single line: '34613998'
Test #6:
score: 0
Accepted
time: 42ms
memory: 4224kb
input:
13 14 670577333
output:
41465431
result:
ok single line: '41465431'
Test #7:
score: 0
Accepted
time: 23ms
memory: 4224kb
input:
14 6 987686347
output:
37536510
result:
ok single line: '37536510'
Test #8:
score: 0
Accepted
time: 41ms
memory: 4096kb
input:
15 12 196428923
output:
29322522
result:
ok single line: '29322522'
Test #9:
score: 0
Accepted
time: 114ms
memory: 4224kb
input:
68 7 786815587
output:
149281835
result:
ok single line: '149281835'
Test #10:
score: 0
Accepted
time: 3ms
memory: 4224kb
input:
3 2 503002109
output:
82
result:
ok single line: '82'
Test #11:
score: 0
Accepted
time: 16ms
memory: 4224kb
input:
13 5 756093197
output:
415698676
result:
ok single line: '415698676'
Test #12:
score: 0
Accepted
time: 2ms
memory: 4224kb
input:
2 3 646574611
output:
30
result:
ok single line: '30'
Test #13:
score: 0
Accepted
time: 539ms
memory: 3908kb
input:
39 68 120037189
output:
43217507
result:
ok single line: '43217507'
Test #14:
score: 0
Accepted
time: 13ms
memory: 3908kb
input:
13 4 423132517
output:
360231790
result:
ok single line: '360231790'
Test #15:
score: 0
Accepted
time: 11ms
memory: 4224kb
input:
14 3 309713387
output:
94215386
result:
ok single line: '94215386'
Test #16:
score: 0
Accepted
time: 373ms
memory: 4224kb
input:
24 77 886983941
output:
211636479
result:
ok single line: '211636479'
Test #17:
score: 0
Accepted
time: 2ms
memory: 4224kb
input:
3 3 504388063
output:
270
result:
ok single line: '270'
Test #18:
score: 0
Accepted
time: 1ms
memory: 4224kb
input:
3 1 936205423
output:
8
result:
ok single line: '8'
Test #19:
score: 0
Accepted
time: 3ms
memory: 4224kb
input:
3 3 295983139
output:
270
result:
ok single line: '270'
Test #20:
score: 0
Accepted
time: 34ms
memory: 3908kb
input:
10 15 446169107
output:
149884328
result:
ok single line: '149884328'
Test #21:
score: 0
Accepted
time: 148ms
memory: 4224kb
input:
37 18 833753929
output:
592917251
result:
ok single line: '592917251'
Test #22:
score: 0
Accepted
time: 10ms
memory: 4224kb
input:
11 3 998773403
output:
860630017
result:
ok single line: '860630017'
Test #23:
score: 0
Accepted
time: 241ms
memory: 4096kb
input:
14 85 688036639
output:
347188409
result:
ok single line: '347188409'
Test #24:
score: 0
Accepted
time: 2ms
memory: 4224kb
input:
3 3 844621907
output:
270
result:
ok single line: '270'
Test #25:
score: 0
Accepted
time: 3ms
memory: 4224kb
input:
3 4 204335891
output:
620
result:
ok single line: '620'
Test #26:
score: 0
Accepted
time: 14ms
memory: 4096kb
input:
7 8 113007667
output:
58946097
result:
ok single line: '58946097'
Test #27:
score: 0
Accepted
time: 3ms
memory: 4096kb
input:
4 1 637268377
output:
22
result:
ok single line: '22'
Test #28:
score: 0
Accepted
time: 36ms
memory: 3908kb
input:
11 14 391637237
output:
303270280
result:
ok single line: '303270280'
Test #29:
score: 0
Accepted
time: 2ms
memory: 4224kb
input:
3 2 208286231
output:
82
result:
ok single line: '82'
Test #30:
score: 0
Accepted
time: 5ms
memory: 3908kb
input:
2 11 662696483
output:
462
result:
ok single line: '462'
Test #31:
score: 0
Accepted
time: 215ms
memory: 4224kb
input:
19 55 974135299
output:
887460557
result:
ok single line: '887460557'
Test #32:
score: 0
Accepted
time: 13ms
memory: 4096kb
input:
6 8 417027509
output:
23351024
result:
ok single line: '23351024'
Test #33:
score: 0
Accepted
time: 23ms
memory: 3908kb
input:
8 13 624006587
output:
353008442
result:
ok single line: '353008442'
Test #34:
score: 0
Accepted
time: 23ms
memory: 4224kb
input:
10 10 740294671
output:
79436611
result:
ok single line: '79436611'
Test #35:
score: 0
Accepted
time: 26ms
memory: 4224kb
input:
11 10 394088657
output:
161476458
result:
ok single line: '161476458'
Test #36:
score: 0
Accepted
time: 53ms
memory: 4224kb
input:
9 27 562853573
output:
135252259
result:
ok single line: '135252259'
Test #37:
score: 0
Accepted
time: 7ms
memory: 4224kb
input:
8 3 829129009
output:
5349034
result:
ok single line: '5349034'
Test #38:
score: 0
Accepted
time: 522ms
memory: 4224kb
input:
51 49 924010279
output:
815049368
result:
ok single line: '815049368'
Test #39:
score: 0
Accepted
time: 6ms
memory: 4224kb
input:
12 2 308466749
output:
223013998
result:
ok single line: '223013998'
Test #40:
score: 0
Accepted
time: 8ms
memory: 4224kb
input:
7 4 567557693
output:
4502296
result:
ok single line: '4502296'
Test #41:
score: 0
Accepted
time: 668ms
memory: 4224kb
input:
36 93 943780729
output:
13599465
result:
ok single line: '13599465'
Test #42:
score: 0
Accepted
time: 2ms
memory: 4224kb
input:
2 1 828681127
output:
2
result:
ok single line: '2'
Test #43:
score: 0
Accepted
time: 3ms
memory: 3908kb
input:
3 3 534160729
output:
270
result:
ok single line: '270'
Test #44:
score: 0
Accepted
time: 18ms
memory: 4224kb
input:
7 12 920925433
output:
453086694
result:
ok single line: '453086694'
Test #45:
score: 0
Accepted
time: 1ms
memory: 4224kb
input:
3 2 440546987
output:
82
result:
ok single line: '82'
Test #46:
score: 0
Accepted
time: 192ms
memory: 4224kb
input:
90 9 291269963
output:
72560304
result:
ok single line: '72560304'
Test #47:
score: 0
Accepted
time: 88ms
memory: 4224kb
input:
38 10 867575113
output:
165530481
result:
ok single line: '165530481'
Test #48:
score: 0
Accepted
time: 375ms
memory: 4224kb
input:
48 37 152663531
output:
135425620
result:
ok single line: '135425620'
Test #49:
score: 0
Accepted
time: 50ms
memory: 3840kb
input:
15 15 991731803
output:
102703562
result:
ok single line: '102703562'
Test #50:
score: 0
Accepted
time: 1978ms
memory: 3908kb
input:
100 100 696969697
output:
313377809
result:
ok single line: '313377809'
Extra Test:
score: 0
Extra Test Passed