QOJ.ac

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
#439858#8712. Flooding WallA_zjzj12 783ms34960kbC++172.4kb2024-06-12 19:46:052024-06-12 19:46:06

Judging History

This is the latest submission verdict.

  • [2024-06-12 19:46:06]
  • Judged
  • Verdict: 12
  • Time: 783ms
  • Memory: 34960kb
  • [2024-06-12 19:46:05]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
#ifdef DEBUG
#include"debug.h"
#else
#define debug(...) void()
#endif
#define all(x) (x).begin(),(x).end()
template<class T>
auto ary(T *a,int l,int r){
	return vector<T>{a+l,a+1+r};
}
using ll=long long;
using ull=unsigned ll;
const int N=5e5+10,mod=1e9+7,inv[3]={0,1,(mod+1)/2};
int n,pw,a[2][N],t[N];
tuple<int,int,int>p[N+N];
namespace SGT{
	int t[N<<2],mul[N<<2];
	void pushup(int rt){
		t[rt]=(t[rt<<1]+t[rt<<1|1])%mod;
	}
	void pushmul(int rt,int x){
		t[rt]=1ll*t[rt]*x%mod;
		mul[rt]=1ll*mul[rt]*x%mod;
	}
	void pushdown(int rt){
		if(mul[rt]^1){
			pushmul(rt<<1,mul[rt]);
			pushmul(rt<<1|1,mul[rt]);
			mul[rt]=1;
		}
	}
	void build(int l=1,int r=n,int rt=1){
		mul[rt]=1;
		if(l==r)return t[rt]=pw,void();
		int mid=(l+r)>>1;
		build(l,mid,rt<<1);
		build(mid+1,r,rt<<1|1);
		pushup(rt);
	}
	void update(int L,int R,int x,int l=1,int r=n,int rt=1){
		if(L<=l&&r<=R)return pushmul(rt,x);
		int mid=(l+r)>>1;
		pushdown(rt);
		if(L<=mid)update(L,R,x,l,mid,rt<<1);
		if(mid<R)update(L,R,x,mid+1,r,rt<<1|1);
		pushup(rt);
	}
	int query(int L,int R,int l=1,int r=n,int rt=1){
		if(L<=l&&r<=R)return t[rt];
		int mid=(l+r)>>1,s=0;
		pushdown(rt);
		if(L<=mid)s+=query(L,R,l,mid,rt<<1);
		if(mid<R)s+=query(L,R,mid+1,r,rt<<1|1);
		return s%mod;
	}
}
int calc(){
	SGT::build();
	int ans=0;
	fill(t+1,t+1+n,2);
	for(int i=1;i<=n+n;i++){
		auto [val,c,id]=p[i];
		ans=(ans+1ll*SGT::query(id,n)*inv[t[id]]%mod*val)%mod;
		SGT::update(id,n,inv[t[id]]*(t[id]-1ll)%mod);
		t[id]--;
		// debug(c,id,ans);
	}
	// debug("calc",ans);
	return ans;
}
int solve(){
	int ans=0,res=pw;
	fill(t+1,t+1+n,2);
	for(int i=1;i<=n+n&&res;i++){
		auto [val,c,id]=p[i];
		res=1ll*res*inv[t[id]]%mod;
		ans=(ans+1ll*res*val%mod*n)%mod;
		res=res*--t[id]%mod;
		// debug(c,id,ans);
	}
	return ans;
}
int main(){
	scanf("%d",&n);
	for(int i=pw=1;i<=n;i++)(pw*=2)%=mod;
	for(int c:{0,1}){
		for(int i=1;i<=n;i++){
			scanf("%d",&a[c][i]);
			p[i+c*n]={a[c][i],c,i};
		}
	}
	sort(p+1,p+1+n+n),reverse(p+1,p+1+n+n);
	int ans=calc();
	for(int c:{0,1})reverse(a[c]+1,a[c]+1+n);
	(ans+=calc())%=mod;
	(ans+=mod-solve())%=mod;
	for(int c:{0,1}){
		for(int i=1;i<=n;i++){
			ans=(ans+1ll*(mod-a[c][i])*pw%mod*inv[2])%mod;
		}
	}
	cout<<ans<<endl;
	return 0;
}
#ifdef DEBUG
#include"debug.hpp"
#endif

詳細信息

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 8
Accepted
time: 2ms
memory: 13936kb

input:

4
1 1 1 1
2 2 2 2

output:

6

result:

ok single line: '6'

Test #2:

score: 0
Accepted
time: 0ms
memory: 14008kb

input:

10
1 2 3 4 5 6 7 8 9 10
10 9 8 7 6 5 4 3 2 1

output:

21116

result:

ok single line: '21116'

Test #3:

score: 0
Accepted
time: 2ms
memory: 14060kb

input:

1
1
2

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 2ms
memory: 14068kb

input:

2
1 1
2 2

output:

0

result:

ok single line: '0'

Test #5:

score: 0
Accepted
time: 0ms
memory: 13932kb

input:

3
1 1 1
2 2 2

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 1ms
memory: 13992kb

input:

3
1 1 1
3 2 3

output:

3

result:

ok single line: '3'

Test #7:

score: -8
Wrong Answer
time: 1ms
memory: 14060kb

input:

3
2 1 1
3 2 3

output:

10

result:

wrong answer 1st lines differ - expected: '4', found: '10'

Subtask #2:

score: 0
Wrong Answer

Test #23:

score: 0
Wrong Answer
time: 1ms
memory: 13812kb

input:

100
948 425 211 688 416 81 356 602 712 954 117 522 797 75 281 491 662 669 78 156 939 526 929 937 916 619 166 777 48 898 449 278 298 714 668 755 679 38 389 602 195 135 672 833 655 541 473 27 596 274 351 353 598 993 837 246 950 99 179 751 481 843 550 195 964 279 806 82 330 599 124 756 649 838 513 625 ...

output:

398638337

result:

wrong answer 1st lines differ - expected: '164439470', found: '398638337'

Subtask #3:

score: 0
Skipped

Dependency #2:

0%

Subtask #4:

score: 0
Skipped

Dependency #1:

0%

Subtask #5:

score: 12
Accepted

Test #57:

score: 12
Accepted
time: 775ms
memory: 34840kb

input:

500000
1 1 1 1 2 2 2 1 1 1 1 1 2 2 1 1 2 2 2 2 1 2 1 1 2 1 1 1 1 2 1 2 2 1 1 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 2 2 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 2 1 2 2 1 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 1 1 2 1 2 1 1 2 1 2 1 2 2 1 1 2 1 1 1 1 1 2 2 2 2 2 2 1 2 2 1 1 2 1 2 1...

output:

869044223

result:

ok single line: '869044223'

Test #58:

score: 0
Accepted
time: 767ms
memory: 34960kb

input:

499993
1 1 2 1 1 2 1 1 2 1 1 1 2 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 2 2 1 2 1 2 1 2 1 2 2 2 2 1 1 2 1 2 1 2 2 1 1 2 2 2 2 2 1 1 2 1 1 2 1 1 2 2 2 1 2 2 1 2 1 1 2 1 1 2 1 1 1 1 2 1 1 1 2 2 1 1 2 1 1 1 2 2 2 2 1 1 2 1 2 1 2 2 1 2 1 1 1 1 2 1 1 2 1 2 2 1 2 2 2 2 2 1 2 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 2 1 1 1...

output:

480826834

result:

ok single line: '480826834'

Test #59:

score: 0
Accepted
time: 783ms
memory: 32932kb

input:

500000
2 2 1 1 2 2 2 1 1 2 2 2 2 2 1 1 1 1 1 2 1 2 1 2 1 2 2 1 1 1 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 2 1 2 1 2 1 1 2 1 1 2 2 2 1 2 2 1 2 2 1 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 2 1 2 2 2 1 2 1 1 2 1 2 1 1 2 2 2 1 2 1 2 2 2 2 2 2 1 1 2 2 2 2 1 1 1 1 1 1 2 2 1 1 1 2 1 2 2 2 1 1 1 2 2...

output:

869044223

result:

ok single line: '869044223'

Test #60:

score: 0
Accepted
time: 767ms
memory: 32932kb

input:

499999
2 1 2 2 1 2 1 1 2 1 1 1 2 2 2 1 1 2 2 2 1 1 1 2 2 2 2 2 1 2 2 1 1 2 2 2 2 1 1 2 1 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 1 2 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 2 1 2 2 1 1 2 2 1 2 1 1 2 1 2 1 1 2 1 1 1 2 2 1 1 2 2 2 2 2 1 2 1 2 2 1 1 1 2 2 1 1 2 1 1 2 1 1 1 2 1 2 1 1 2 1 2 1 2 1 2 2 2 1 1...

output:

192864306

result:

ok single line: '192864306'

Subtask #6:

score: 0
Skipped

Dependency #1:

0%