#include<iostream>
#include<algorithm>
using namespace std;
#define int long long
int n,m,k,t,MOD;
int put(int a, int exp)
{
if(exp==0)
return 1;
if(exp%2==0)
return put((a*a)%MOD,exp/2);
else
return (put((a*a)%MOD,exp/2)*a)%MOD;
}
pair<int,int> traps[25];
int dp[1100000];
int ult[1100000];
int fact[6000015];
int invf[6000015];
int catet[30];
int inde;
int comb(int x, int y)
{
return (((((fact[x]*invf[y]%MOD)*invf[x-y])%MOD)));
}
int calc_inde(int x)
{
int d=2;
int prod = x, imp = 1;
while(d*d<=x)
{
if(x%d==0)
{
while(x%d==0)
x/=d;
prod *= d-1;
imp *= d;
}
if(d==2)
d--;
d+=2;
}
if(x>1)
{
prod *= x-1;
imp *= x;
}
return prod/imp;
}
signed main()
{
cin>>n>>m>>k>>t>>MOD;
inde = calc_inde(MOD);
fact[0]=1;
invf[0]=1;
for(int i=1;i<=n+m;i++)
{
fact[i] = (fact[i-1]*i)%MOD;
invf[i] = put(fact[i], inde-1);
}
for(int i=0;i<k;i++)
{
cin>>traps[i].first>>traps[i].second;
}
for(int i=1;i<=k;i++)
{
catet[i]=0;
for(int config=0;config<(1<<i)-1;config++)
{
int cnt2=0;
for(int j=0;j<i;j++)
{
if((((1<<j)&config)))
cnt2++;
}
if(cnt2>t)
catet[i]++;
}
}
sort(traps,traps+k);
int rez=comb(n+m,n);
for(int config=1;config<(1<<k);config++)
{
int cnt=0;
for(int i=0;i<k;i++)
if(((1<<i)&config))
cnt++;
for(int i=0;i<k;i++)
{
if(((1<<i)&config) && (cnt==1 || (traps[ult[config-(1<<i)]].first <= traps[i].first && traps[ult[config-(1<<i)]].second <= traps[i].second)))
{
ult[config]=i;
if(cnt>1)
{
int j = ult[config-(1<<i)];
dp[config] = (dp[config-(1<<i)] * comb((traps[i].first - traps[j].first) + (traps[i].second - traps[j].second), (traps[i].second - traps[j].second)))%MOD;
}
else
dp[config] = comb(traps[i].first + traps[i].second, traps[i].first);
//cout<<config<<" "<<dp[config]<<" "<<comb(n - traps[i].first + m - traps[i].second, n - traps[i].first)<<" zzz\n";
if(cnt>t)
{
rez = rez + MOD - (dp[config] * comb(n - traps[i].first + m - traps[i].second, n - traps[i].first))%MOD;
rez%=MOD;
/*for(int config2=0;config2<(1<<cnt)-1;config2++)
{
int cnt2=0;
for(int u=0;u<cnt;u++)
if((((1<<u)&config2)))
cnt2++;
if(cnt2>t)
rez = (rez + (dp[config] * comb(n - traps[i].first + m - traps[i].second, n - traps[i].first))%MOD)%MOD;
}*/
rez = rez + (catet[cnt] * ((dp[config] * comb(n - traps[i].first + m - traps[i].second, n - traps[i].first))%MOD))%MOD;
rez%=MOD;
}
break;
}
}
}
cout<<rez;
return 0;
}
/**
1 4 2 1 100000
0 3
1 3
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Incorrect |
1 ms |
6492 KB |
Output isn't correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
4 ms |
8540 KB |
Output is correct |
5 |
Correct |
113 ms |
21076 KB |
Output is correct |
6 |
Incorrect |
1 ms |
6492 KB |
Output isn't correct |
7 |
Correct |
7 ms |
8540 KB |
Output is correct |
8 |
Correct |
2 ms |
6492 KB |
Output is correct |
9 |
Correct |
35 ms |
10764 KB |
Output is correct |
10 |
Correct |
59 ms |
14940 KB |
Output is correct |
11 |
Correct |
46 ms |
12896 KB |
Output is correct |
12 |
Incorrect |
162 ms |
27228 KB |
Output isn't correct |
13 |
Incorrect |
111 ms |
15444 KB |
Output isn't correct |
14 |
Incorrect |
60 ms |
14960 KB |
Output isn't correct |
15 |
Incorrect |
200 ms |
25168 KB |
Output isn't correct |
16 |
Incorrect |
225 ms |
31312 KB |
Output isn't correct |
17 |
Incorrect |
155 ms |
21076 KB |
Output isn't correct |
18 |
Incorrect |
297 ms |
33364 KB |
Output isn't correct |
19 |
Incorrect |
291 ms |
33396 KB |
Output isn't correct |
20 |
Incorrect |
225 ms |
33384 KB |
Output isn't correct |