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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#78172 | #3272. 简单数据结构 | tricyzhkx | 20 | 14ms | 41740kb | C++14 | 4.7kb | 2023-02-17 10:27:03 | 2023-02-17 10:27:03 |
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=2;i<tp;i++) assert((stk[i+1]-stk[i])*(stk[i]-stk[i-1])<0);
for(int i=1;i<tp;i++) assert(stk[i].x<=stk[i+1].x);
for(int i:S)
{
ll minn=1e18;
for(int j=1;j<=tp;j++) minn=min(minn,stk[j].calc(i));
while(cur<tp && stk[cur].calc(i)>stk[cur+1].calc(i)) cur++;
// assert(minn==stk[cur].calc(i));
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,q,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]) 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: 14ms
memory: 41740kb
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 291779262 45671866 242375008 302245547 222004631 41963113 343434445 347127029 183849524 2144625 278637672 220461451 20719635 108759503 22099550 36992930 56208167 95705505 38862288 86633621 45644231 51136184 1334865 78913072 116863272 14340110 82075317 15298940...
result:
wrong answer 20th numbers differ - expected: '34631220', found: '36992930'
Subtask #2:
score: 20
Accepted
Subtask #3:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 2ms
memory: 39332kb
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 291779262 45671866 242375008 302245547 222004631 41963113 343434445 347127029 183849524 2144625 278637672 220461451 20719635 108759503 22099550 36992930 56208167 95705505 38862288 86633621 45644231 51136184 1334865 78913072 116863272 14340110 82075317 15298940...
result:
wrong answer 20th numbers differ - expected: '34631220', found: '36992930'
Subtask #4:
score: 0
Skipped
Dependency #1:
0%