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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#78155 | #3272. 简单数据结构 | tricyzhkx | 20 | 7ms | 43332kb | C++14 | 4.6kb | 2023-02-17 09:46:39 | 2023-02-17 09:46:40 |
Judging History
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%