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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#666911#9451. Expected Waiting Timeucup-team4479WA 881ms58384kbC++231.6kb2024-10-22 20:23:062024-10-22 20:23:23

Judging History

This is the latest submission verdict.

  • [2024-10-22 20:23:23]
  • Judged
  • Verdict: WA
  • Time: 881ms
  • Memory: 58384kb
  • [2024-10-22 20:23:06]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
constexpr int N=1000005;
int qpow(int a,int b,int p)
{
    int res=1;
    while(b)
    {
        if(b&1) res=(long long)res*a%p;
        a=(long long)a*a%p,b>>=1;
    }
    return res;
}
int getinv(int x,int p)
{
    return qpow(x,p-2,p);
}
int n,MOD,A,B;
int a[N*2],b[N*2];
int sum[N*2];
int s[N*2];
int fac[N*2],inv[N*2],ifac[N*2];
int C(int n,int m)
{
    if(m>n) return 0;
    if(m==0||m==n) return 1;
    return (long long)fac[n]*ifac[m]%MOD*ifac[n-m]%MOD;
}
int catalan(int n)
{
    if(n==0||n==1) return 1;
    return (C(2*n,n)-C(2*n,n-1)+MOD)%MOD;
}
void solve()
{
    cin>>n>>MOD>>b[0]>>A>>B;
    inv[1]=1;
    for(int i=2;i<=n*2;i++)
        inv[i]=(long long)(MOD-MOD/i)*inv[MOD%i]%MOD;
    fac[0]=ifac[0]=1;
    for(int i=1;i<=n*2;i++)
    {
        fac[i]=(long long)fac[i-1]*i%MOD;
        ifac[i]=(long long)ifac[i-1]*inv[i]%MOD;
    }
    a[0]=0;
    for(int i=1;i<=n*2;i++)
    {
        b[i]=((long long)b[i-1]*A+B)%MOD;
        a[i]=(a[i-1]+b[i]+1)%MOD;
    }
    for(int i=1;i<=n*2;i++)
        sum[i]=(sum[i-1]+a[i])%MOD;
    for(int i=0;i<=n*2;i++)
        s[i]=((long long)sum[n*2]-sum[i]-sum[n*2-i]+MOD+MOD)%MOD;
    int ans=0;
    for(int len=1;len<=n*2;len++)
        if(len&1) ans=(ans+(long long)catalan((len-1)/2)*catalan((2*n-len-1)/2)%MOD*s[len])%MOD;
    ans=(long long)ans*getinv(catalan(n),MOD)%MOD;
    cout<<ans<<"\n";
    return;
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr),cout.tie(nullptr);
    int T;
    cin>>T;
    while(T--)
        solve();
    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 13860kb

input:

5
1 1000000007 0 1 0
2 1000000007 0 1 1
2 7 5 2 3
3 31 15 6 24
20 1000000007 0 1 0

output:

1
12
1
21
879705565

result:

ok 5 number(s): "1 12 1 21 879705565"

Test #2:

score: 0
Accepted
time: 825ms
memory: 13880kb

input:

4400
3954 1000000007 0 1 0
1306 1000000007 0 1 0
3774 1000000007 0 1 0
3345 1000000007 0 1 0
891 1000000007 0 1 0
2462 1000000007 0 1 0
237 1000000007 0 1 0
26 1000000007 0 1 0
2510 1000000007 0 1 0
637 1000000007 0 1 0
3250 1000000007 0 1 0
3447 1000000007 0 1 0
1222 1000000007 0 1 0
133 1000000007...

output:

440618338
378292891
979368645
915766295
343598158
80867595
161627927
517387931
396936703
42785642
945720545
764273281
186237656
635777911
164064906
548455037
991964184
468137124
561243246
118562285
856945294
642467240
23673926
808943705
897417615
462422554
656411244
204288121
997894281
244685651
762...

result:

ok 4400 numbers

Test #3:

score: -100
Wrong Answer
time: 881ms
memory: 58384kb

input:

1019
338 1863833207 1820742817 1507924477 1822273457
770 1386304741 1088481071 1216187083 170973217
597 1604266739 620750027 196415899 456280997
105 1008587891 184044403 24836083 926135599
357 1165127407 440925347 1103369747 912263123
82 1639766993 263045351 631010551 1412721139
928 1715915153 25383...

output:

993792722
-1308611686
720103077
827110887
437728379
431142978
424515056
-1006618729
728687529
-1500754293
330210980
524187752
792397402
722717951
-890794685
-579547053
517745617
284353065
236985297
575259721
837413882
1696069800
308921521
170335234
558752169
1050819260
1199508728
844160548
663292827...

result:

wrong answer 1st numbers differ - expected: '1532578211', found: '993792722'