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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#78155#3272. 简单数据结构tricyzhkx20 7ms43332kbC++144.6kb2023-02-17 09:46:392023-02-17 09:46:40

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-02-17 09:46:40]
  • 评测
  • 测评结果:20
  • 用时:7ms
  • 内存:43332kb
  • [2023-02-17 09:46:39]
  • 提交

answer

# include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll,int> pli;
typedef vector<int> vi;
ll a[200010];
vi vec[200010];
struct Query
{
	int op,l,r;
	ll v;
}que[200010];
struct Point
{
	ll x,y;
	int t;
	Point(ll _x=0,ll _y=0,int _t=0):x(_x),y(_y),t(_t){}
	Point operator-(const Point &a)const{return Point(x-a.x,y-a.y);}
	ll operator*(const Point &a)const{return x*a.y-y*a.x;}
	bool operator<(const Point &a)const
	{
		if(x!=a.x) return x<a.x;
		return y<a.y;
	}
	ll calc(ll p){return y-x*p;}
}b[200010],stk[200010];
struct Seg1
{
	ll sum[600010],w[600010],tag[600010];
	void build(int rt,int l,int r)
	{
		if(l==r) return sum[rt]=a[l],w[rt]=l,void();
		int mid=(l+r)/2;
		build(rt*2,l,mid);build(rt*2+1,mid+1,r);
		sum[rt]=sum[rt*2]+sum[rt*2+1];
		w[rt]=w[rt*2]+w[rt*2+1];
	}
	void push(int rt,ll t){tag[rt]+=t;sum[rt]+=t*w[rt];}
	void pushdown(int rt)
	{
		if(!tag[rt]) return;
		push(rt*2,tag[rt]);push(rt*2+1,tag[rt]);
		tag[rt]=0;
	}
	void update(int rt,int l,int r,int x)
	{
		if(l==r) return w[rt]=sum[rt]=0,void();
		pushdown(rt);
		int mid=(l+r)/2;
		if(x<=mid) update(rt*2,l,mid,x);
		else update(rt*2+1,mid+1,r,x);
		sum[rt]=sum[rt*2]+sum[rt*2+1];
		w[rt]=w[rt*2]+w[rt*2+1];
	}
	ll query(int rt,int l,int r,int x,int y)
	{
		if(l>y || r<x) return 0;
		if(x<=l && r<=y) return sum[rt];
		pushdown(rt);
		int mid=(l+r)/2;
		return query(rt*2,l,mid,x,y)+query(rt*2+1,mid+1,r,x,y);
	}
}S1;
struct Seg2
{
	ll sum[600010],cnt[600010],w[600010],tag[600010],add[600010];
	pli minn[600010];
	void build(int rt,int l,int r)
	{
		tag[rt]=-1;minn[rt]={1e18,0};
		if(l==r) return;
		int mid=(l+r)/2;
		build(rt*2,l,mid);build(rt*2+1,mid+1,r);
	}
	void pushtag(int rt,ll t)
	{
		add[rt]=0;tag[rt]=t;sum[rt]=t*cnt[rt];
		if(cnt[rt]) minn[rt].first=t;
	}
	void pushadd(int rt,ll a)
	{
		add[rt]+=a;sum[rt]+=a*w[rt];
		if(cnt[rt]) minn[rt].first+=a*minn[rt].second;
	}
	void pushdown(int rt)
	{
		if(tag[rt]>=0)
		{
			pushtag(rt*2,tag[rt]);pushtag(rt*2+1,tag[rt]);
			tag[rt]=-1;
		}
		if(add[rt])
		{
			pushadd(rt*2,add[rt]);pushadd(rt*2+1,add[rt]);
			add[rt]=0;
		}
	}
	void update(int rt,int l,int r,ll v)
	{
		if(l==r)
		{
			if(minn[rt].first>=v) pushtag(rt,v);
			return;
		}
		pushdown(rt);
		int mid=(l+r)/2;
		if(minn[rt*2+1].first<v) update(rt*2+1,mid+1,r,v);
		else pushtag(rt*2+1,v),update(rt*2,l,mid,v);
		sum[rt]=sum[rt*2]+sum[rt*2+1];
		minn[rt]=min(minn[rt*2],minn[rt*2+1]);
	}
	void update(int rt,int l,int r,int x,ll y)
	{
		if(l==r) return cnt[rt]=1,minn[rt]={y,x},w[rt]=x,sum[rt]=y,void();
		pushdown(rt);
		int mid=(l+r)/2;
		if(x<=mid) update(rt*2,l,mid,x,y);
		else update(rt*2+1,mid+1,r,x,y);
		sum[rt]=sum[rt*2]+sum[rt*2+1];
		minn[rt]=min(minn[rt*2],minn[rt*2+1]);
		cnt[rt]=cnt[rt*2]+cnt[rt*2+1];
		w[rt]=w[rt*2]+w[rt*2+1];
	}
	ll query(int rt,int l,int r,int x,int y)
	{
		if(l>y || r<x) return 0;
		if(x<=l && r<=y) return sum[rt];
		pushdown(rt);
		int mid=(l+r)/2;
		return query(rt*2,l,mid,x,y)+query(rt*2+1,mid+1,r,x,y);
	}
}S2;
void solve(int l,int r,const vi &Q,const vi &S)
{
	if(S.empty() || Q.empty()) return;
	if(l==r)
	{
		for(int i:S)
			if(b[Q[0]].calc(i)<a[i])
				vec[l].push_back(i);
		return;
	}
	int mid=(l+r)/2,tp=0,cur=1;
	vi L,R,QL,QR;
	for(int i:Q)
		if(b[i].t<=mid)
		{
			QL.push_back(i);
			while(tp>1 && (b[i]-stk[tp])*(stk[tp]-stk[tp-1])>0) tp--;
			stk[++tp]=b[i];
		}
		else QR.push_back(i);
	for(int i:S)
	{
		while(cur<tp && stk[cur].calc(i)>stk[cur+1].calc(i)) cur++;
		if(stk[cur].calc(i)<a[i]) L.push_back(i);
		else R.push_back(i);
	}
	solve(l,mid,QL,L);solve(mid+1,r,QR,R);
}
int main()
{
	int n,q,cur=0,cnt=0;
	cin>>n>>q;
	for(int i=1;i<=n;i++) scanf("%lld",&a[i]);
	for(int i=1;i<=q;i++)
	{
		scanf("%d",&que[i].op);
		if(que[i].op==1) scanf("%lld",&que[i].v);
		else if(que[i].op==3) scanf("%d%d",&que[i].l,&que[i].r);
	}
	for(int i=1;i<=q;i++)
	{
		if(que[i].op==1) b[++cnt]=Point(cur,que[i].v,i);
		else if(que[i].op==2) cur++;
	}
	sort(b+1,b+cnt+1);
	vi S(n),Q(cnt);
	iota(S.begin(),S.end(),1);
	iota(Q.begin(),Q.end(),1);
	solve(1,cnt,Q,S);
	S1.build(1,1,n);S2.build(1,1,n);
	for(int i=1;i<=q;i++)
	{
		if(que[i].op==1) S2.update(1,1,n,que[i].v);
		else if(que[i].op==2) S1.push(1,1),S2.pushadd(1,1);
		else printf("%lld\n",S1.query(1,1,n,que[i].l,que[i].r)+S2.query(1,1,n,que[i].l,que[i].r));
		for(int j:vec[i])
		{
			int cur=0;
			for(int k=1;k<i;k++)
				if(que[k].op==1)
					assert(a[j]+(ll)j*cur<=que[k].v);
				else if(que[k].op==2) cur++;
			assert(a[j]+(ll)j*cur>que[i].v);
			S1.update(1,1,n,j),S2.update(1,1,n,j,que[i].v);
		}
	}
	return 0;
}

Details

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Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 4ms
memory: 43332kb

input:

5000 5000
29940 259997 53132 912489 608312 594283 432259 344137 889466 383028 320097 337418 571199 372832 563110 542407 133378 998389 238387 120880 477310 634888 191990 133585 935315 558139 141724 893331 190118 991968 843042 384930 935256 891482 123419 91431 955722 376987 197566 106433 234494 645967...

output:

512185934
455189773
121665669
408693244
345526480
53168744
287474075
355917030
258017802
47619939
395552726
404618192
215108915
2386397
344708150
276244523
33209515
171229549
34232812
103571326
146941062
233562148
92624598
199837554
104785956
110838796
2483494
168452612
288317358
33108780
170836194
...

result:

wrong answer 5th numbers differ - expected: '291779262', found: '345526480'

Subtask #2:

score: 20
Accepted

Subtask #3:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 7ms
memory: 41320kb

input:

5000 5000
29940 259997 53132 912489 608312 594283 432259 344137 889466 383028 320097 337418 571199 372832 563110 542407 133378 998389 238387 120880 477310 634888 191990 133585 935315 558139 141724 893331 190118 991968 843042 384930 935256 891482 123419 91431 955722 376987 197566 106433 234494 645967...

output:

512185934
455189773
121665669
408693244
345526480
53168744
287474075
355917030
258017802
47619939
395552726
404618192
215108915
2386397
344708150
276244523
33209515
171229549
34232812
103571326
146941062
233562148
92624598
199837554
104785956
110838796
2483494
168452612
288317358
33108780
170836194
...

result:

wrong answer 5th numbers differ - expected: '291779262', found: '345526480'

Subtask #4:

score: 0
Skipped

Dependency #1:

0%