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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 |
---|---|---|---|---|---|---|---|---|---|
#78116 | #3272. 简单数据结构 | tricyzhkx | 20 | 7ms | 41260kb | C++14 | 4.4kb | 2023-02-16 20:41:50 | 2023-02-16 20:41:53 |
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;}
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 &S)
{
if(S.empty()) return;
if(l==r)
{
for(int i:S)
if(b[l].calc(i)<a[i])
vec[b[l].t].push_back(i);
return;
}
int mid=(l+r)/2,tp=0,cur=1;
vi L,R;
for(int i=l;i<=mid;i++)
{
while(tp>1 && (b[i]-stk[tp])*(stk[tp]-stk[tp-1])>=0) tp--;
stk[++tp]=b[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,L);solve(mid+1,r,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++;
}
vi S(n);
iota(S.begin(),S.end(),1);
if(cnt) solve(1,cnt,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;
}
詳細信息
Subtask #1:
score: 0
Dangerous Syscalls
Test #1:
score: 10
Accepted
time: 7ms
memory: 41260kb
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 34631220 55848925 92362584 36949030 86469096 43509864 50829332 1334865 76069109 114623436 13564322 79974466 15230088...
result:
ok 1671 numbers
Test #2:
score: -10
Dangerous Syscalls
input:
5000 5000 754848159362 799142221874 945332296572 929342054343 220343371940 207059247564 870301066785 609144766745 830351478389 198801101804 768950635554 592202774571 800496073014 730985048260 581401590014 934021096780 587980626010 77068543347 206074783770 390850923112 122794404396 281461236458 11092...
output:
result:
Subtask #2:
score: 20
Accepted
Subtask #3:
score: 0
Dangerous Syscalls
Test #1:
score: 15
Accepted
time: 4ms
memory: 39288kb
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 34631220 55848925 92362584 36949030 86469096 43509864 50829332 1334865 76069109 114623436 13564322 79974466 15230088...
result:
ok 1671 numbers
Test #2:
score: -15
Dangerous Syscalls
input:
5000 5000 754848159362 799142221874 945332296572 929342054343 220343371940 207059247564 870301066785 609144766745 830351478389 198801101804 768950635554 592202774571 800496073014 730985048260 581401590014 934021096780 587980626010 77068543347 206074783770 390850923112 122794404396 281461236458 11092...
output:
result:
Subtask #4:
score: 0
Skipped
Dependency #1:
0%