#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#define ld double
#define ll long long
#define ull unsigned long long
#define llinf 100000000000000000LL // 10^17
#define iinf 2000000000 // 2*10^9
#define pb push_back
#define popb pop_back
#define fi first
#define sc second
#define endl '\n'
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pld pair<ld,ld>
#define all(a) a.begin(),a.end()
using namespace std;
#define mod 1000000007
#define maxn 200005
ll fact[maxn];
ll add(ll x,ll y){
x+=y;
if(x<0){
x%=mod;
x+=mod;
}else{
if(x>=mod) x%=mod;
}
return x;
}
ll mul(ll a,ll b){
ll ans = (a*b)%mod;
if(ans<0) ans+=mod;
return ans;
}
ll po(ll x,ll y){
if(y==0) return 1LL;
ll ans = po(x,y/2);
ans = mul(ans,ans);
if(y&1) ans = mul(ans,x);
return ans;
}
ll inv(ll x){return po(x,mod-2);}
ll ch(ll n,ll k){
if(k>n) return 0;
ll ans = fact[n];
ans = mul(ans,inv(fact[k]));
ans = mul(ans,inv(fact[n-k]));
return ans;
}
ll n,k;
ll a[maxn];
ll ask[maxn];
ll rez[maxn];
ll cntl[maxn],cntr[maxn];
vector<pll> v[maxn];
void tc(){
ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0);
fact[0] = 1;
for(ll i = 1;i<maxn;i++) fact[i] = mul(fact[i-1],i);
cin >> n >> k;
for(ll i = 1;i<=n;i++) cin >> a[i];
ll ans = 1;
stack<ll> st;
for(ll i = n;i>=1;i--){
while(st.size()&&st.top()>a[i]){
cntr[st.top()]--;
v[i].pb({st.top(),1});
st.pop();
}
cntr[a[i]]++;
v[i].pb({a[i],-1});
st.push(a[i]);
}
while(st.size()) st.pop();
for(ll i = 1;i<=n;i++){
for(pll p : v[i]){
ll x = p.fi;
ll d = p.sc;
ans = mul(ans,inv(ch(cntr[x]+cntl[x],cntl[x])));
cntr[x]+=d;
ans = mul(ans,ch(cntr[x]+cntl[x],cntl[x]));
}
rez[i] = ans;
while(st.size()&&st.top()>a[i]){
ll x = st.top();
ans = mul(ans,inv(ch(cntr[x]+cntl[x],cntl[x])));
cntl[x]--;
ans = mul(ans,ch(cntr[x]+cntl[x],cntl[x]));
st.pop();
}
ll x = a[i];
ans = mul(ans,inv(ch(cntr[x]+cntl[x],cntl[x])));
cntl[x]++;
ans = mul(ans,ch(cntr[x]+cntl[x],cntl[x]));
st.push(a[i]);
}
for(ll i = 1;i<=k;i++){
ll x; cin >> x;
cout<<rez[x]<<endl;
}
}
int main(){
ios_base::sync_with_stdio(false);cerr.tie(0);cout.tie(0);cin.tie(0);
int t; t = 1;
while(t--){
tc();
}
return 0;
}
/**
5 2
3 5 1 4 3
3 5
**/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
6612 KB |
Output is correct |
2 |
Correct |
9 ms |
6596 KB |
Output is correct |
3 |
Correct |
15 ms |
6760 KB |
Output is correct |
4 |
Correct |
17 ms |
6772 KB |
Output is correct |
5 |
Correct |
13 ms |
6768 KB |
Output is correct |
6 |
Correct |
14 ms |
6740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
425 ms |
13720 KB |
Output is correct |
2 |
Correct |
848 ms |
20184 KB |
Output is correct |
3 |
Correct |
884 ms |
20636 KB |
Output is correct |
4 |
Correct |
884 ms |
20736 KB |
Output is correct |
5 |
Correct |
883 ms |
21128 KB |
Output is correct |
6 |
Correct |
905 ms |
22780 KB |
Output is correct |
7 |
Correct |
900 ms |
24356 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
6612 KB |
Output is correct |
2 |
Correct |
9 ms |
6596 KB |
Output is correct |
3 |
Correct |
15 ms |
6760 KB |
Output is correct |
4 |
Correct |
17 ms |
6772 KB |
Output is correct |
5 |
Correct |
13 ms |
6768 KB |
Output is correct |
6 |
Correct |
14 ms |
6740 KB |
Output is correct |
7 |
Correct |
425 ms |
13720 KB |
Output is correct |
8 |
Correct |
848 ms |
20184 KB |
Output is correct |
9 |
Correct |
884 ms |
20636 KB |
Output is correct |
10 |
Correct |
884 ms |
20736 KB |
Output is correct |
11 |
Correct |
883 ms |
21128 KB |
Output is correct |
12 |
Correct |
905 ms |
22780 KB |
Output is correct |
13 |
Correct |
900 ms |
24356 KB |
Output is correct |
14 |
Correct |
48 ms |
7372 KB |
Output is correct |
15 |
Correct |
460 ms |
15180 KB |
Output is correct |
16 |
Correct |
887 ms |
23364 KB |
Output is correct |
17 |
Correct |
904 ms |
22264 KB |
Output is correct |
18 |
Correct |
917 ms |
23868 KB |
Output is correct |
19 |
Correct |
921 ms |
22324 KB |
Output is correct |
20 |
Correct |
926 ms |
24428 KB |
Output is correct |
21 |
Correct |
929 ms |
26084 KB |
Output is correct |