oj.uz

Submission #731610

# Submission time Handle Problem Language Result Execution time Memory
731610 2023-04-27T16:34:56 Z PoonYaPat Radio Towers (IOI22_towers) C++17
17 / 100
 2021 ms 59480 KB 
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;
 
int R[100010],L[100010],h[100010],n,s[1<<18];
vector<pii> v;
 
struct ss {
    int mmin,mmax,sl,sr;
} sg[1<<18]; // i<j -> sl = j-i, sr=i-j
 
ss merge(ss l, ss r) {
    if (l.mmin==-1 && r.mmin==-1) return {-1,0,0,0};
    if (l.mmin==-1) return r;
    if (r.mmin==-1) return l;
 
    ss ans;
    ans.mmax=max(l.mmax,r.mmax);
    ans.mmin=min(l.mmin,r.mmin);
    ans.sl=max({l.sl,r.sl,r.mmax-l.mmin});
    ans.sr=max({l.sr,r.sr,l.mmax-r.mmin});
    return ans;
}
 
void build_sg(int l, int r, int idx) {
    if (l==r) sg[idx]={h[l],h[l],0,0};
    else {
        int mid=(l+r)/2;
        build_sg(l,mid,2*idx);
        build_sg(mid+1,r,2*idx+1);
        sg[idx]=merge(sg[2*idx],sg[2*idx+1]);
    }
}
 
ss query_sg(int l, int r, int idx, int x, int y) {
    if (x>r || y<l) return {-1,0,0,0};
    if (x<=l && r<=y) return sg[idx];
    int mid=(l+r)/2;
    return merge(query_sg(l,mid,2*idx,x,y),query_sg(mid+1,r,2*idx+1,x,y));
}
 
struct node {
    int mmin,mmax,cnt;
    node *l, *r;
 
    node() : mmin(INT_MAX), mmax(-INT_MAX), cnt(0), l(NULL), r(NULL) {}
 
    node(int val) : mmin(val), mmax(val), cnt(1), l(NULL), r(NULL) {}
 
    node(node *L, node *R) : mmin(INT_MAX), mmax(-INT_MAX), cnt(0) , r(R), l(L) {
        if (L) {
            mmin=min(L->mmin,mmin);
            mmax=max(L->mmax,mmax);
            cnt+=L->cnt;
        }
 
        if (R) {
            mmin=min(R->mmin,mmin);
            mmax=max(R->mmax,mmax);
            cnt+=R->cnt;
        }
    }
};
typedef pair<int,node*> pin;
vector<pin> arr;
 
struct N {
    int mmin,mmax,cnt;
};
 
node* build(int l, int r) {
    if (l==r) return new node();
    int mid=(l+r)/2;
    return new node(build(l,mid),build(mid+1,r));
}
 
node* update(int l, int r, int x, node* pnode) {
    if (x>r || x<l) return pnode;
    if (l==r) return new node(l);
    int mid=(l+r)/2;
    return new node(update(l,mid,x,pnode->l),update(mid+1,r,x,pnode->r));
}
 
N query(int l, int r, int x, int y, node *pnode) {
    if (x>r || y<l) return {INT_MAX,-INT_MAX,0};
    if (x<=l && r<=y) return {pnode->mmin,pnode->mmax,pnode->cnt};
    int mid=(l+r)/2;
    N ans,L=query(l,mid,x,y,pnode->l),R=query(mid+1,r,x,y,pnode->r);
    ans.mmax=max(L.mmax,R.mmax);
    ans.mmin=min(L.mmin,R.mmin);
    ans.cnt=L.cnt+R.cnt;
    return ans;
}
 
void build_s(int l, int r, int idx) {
    if (l==r) s[idx]=h[l];
    else {
        int mid=(l+r)/2;
        build_s(l,mid,2*idx);
        build_s(mid+1,r,2*idx+1);
        s[idx]=max(s[2*idx],s[2*idx+1]);
    }
}
 
int query_s(int l, int r, int idx, int x, int y) {
    if (x>r || y<l) return 0;
    if (x<=l && r<=y) return s[idx];
    int mid=(l+r)/2;
    return max(query_s(l,mid,2*idx,x,y),query_s(mid+1,r,2*idx+1,x,y));
}
 
void init(int N, vector<int> H) {
    n=N;
    for (int i=0; i<n; ++i) h[i+1]=H[i];
 
    L[1]=0;
    for (int i=2; i<=n; ++i) {
        int idx=i-1;
        while (h[idx]>=h[i] && idx!=-1) idx=L[idx];
        L[i]=idx;
    }
 
    R[n]=n+1;
    for (int i=n-1; i>=1; --i) {
        int idx=i+1;
        while (h[idx]>=h[i] && idx!=-1) idx=R[idx];
        R[i]=idx;
    }
 
    build_s(1,n,1);
    build_sg(1,n,1);
 
    for (int i=1; i<=n; ++i) {
        int h1=-1,h2=-1;
        if (L[i]+1<=i-1) h1=query_s(1,n,1,L[i]+1,i-1);
        if (i+1<=R[i]-1) h2=query_s(1,n,1,i+1,R[i]-1);
 
        if (L[i]==0) h1=INT_MAX;
        if (R[i]==n+1) h2=INT_MAX;
 
        if (h1!=-1 && h2!=-1) v.push_back(pii(min(h1,h2)-h[i],i));
    }
 
    sort(v.begin(),v.end(),greater<pii>());
 
    arr.push_back(pin(INT_MAX,build(1,n)));
 
    for (int i=0; i<v.size(); ++i) {
        node* pnode=update(1,n,v[i].second,arr.back().second);
        if (arr.back().first==v[i].first) arr.pop_back();
        arr.push_back(pin(v[i].first,pnode));
    }
}
 
int max_towers(int Le, int Ri, int D) {
    ++Le; ++Ri;
 
    int l=0, r=arr.size()-1;
    while (l<r) {
        int mid=(l+r+1)/2;
        if (arr[mid].first>=D) l=mid;
        else r=mid-1;
    }
 
    N res=query(1,n,Le,Ri,arr[l].second);
    int cnt=res.cnt,mi=res.mmin,ma=res.mmax;
    if (cnt==0) return 1;
 
    int LL=-1;
    if (mi!=Le && query_s(1,n,1,Le,mi-1)>=h[mi]+D) {
        l=Le; r=mi-1;
        while (l<r) {
            int mid=(l+r+1)/2;
            if (query_s(1,n,1,mid,mi-1)>=h[mi]+D) l=mid;
            else r=mid-1;
        }
        LL=l;
    }
    if (LL!=-1 && query_sg(1,n,1,Le,LL).sl>=D) ++cnt;
 
    int RR=-1;
    if (ma!=Ri && query_s(1,n,1,ma+1,Ri)>=h[ma]+D) {
        l=ma+1; r=Ri;
        while (l<r) {
            int mid=(l+r)/2;
            if (query_s(1,n,1,ma+1,mid)>=h[ma]+D) r=mid;
            else l=mid+1;
        }
        RR=l;
    }
    if (RR!=-1 && query_sg(1,n,1,RR,Ri).sr>=D) ++cnt;
 
    return cnt;
}

Compilation message

towers.cpp: In constructor 'node::node(node*, node*)':
towers.cpp:45:15: warning: 'node::r' will be initialized after [-Wreorder]
   45 |     node *l, *r;
      |               ^
towers.cpp:45:11: warning:   'node* node::l' [-Wreorder]
   45 |     node *l, *r;
      |           ^
towers.cpp:51:5: warning:   when initialized here [-Wreorder]
   51 |     node(node *L, node *R) : mmin(INT_MAX), mmax(-INT_MAX), cnt(0) , r(R), l(L) {
      |     ^~~~
towers.cpp: In function 'void init(int, std::vector<int>)':
towers.cpp:149:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  149 |     for (int i=0; i<v.size(); ++i) {
      |                   ~^~~~~~~~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 523 ms 9564 KB 12th lines differ - on the 1st token, expected: '2', found: '1'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 2 ms 976 KB Output is correct
3 Correct 2 ms 976 KB Output is correct
4 Correct 2 ms 1104 KB Output is correct
5 Correct 2 ms 1196 KB Output is correct
6 Correct 2 ms 1104 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 2 ms 592 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 2 ms 592 KB Output is correct
12 Incorrect 1 ms 208 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 2 ms 976 KB Output is correct
3 Correct 2 ms 976 KB Output is correct
4 Correct 2 ms 1104 KB Output is correct
5 Correct 2 ms 1196 KB Output is correct
6 Correct 2 ms 1104 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 2 ms 592 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 2 ms 592 KB Output is correct
12 Incorrect 1 ms 208 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 843 ms 45192 KB Output is correct
2 Correct 1240 ms 45200 KB Output is correct
3 Correct 1311 ms 45248 KB Output is correct
4 Correct 1118 ms 59424 KB Output is correct
5 Correct 1233 ms 59368 KB Output is correct
6 Correct 1145 ms 59452 KB Output is correct
7 Correct 1193 ms 59424 KB Output is correct
8 Correct 1073 ms 16684 KB Output is correct
9 Correct 942 ms 16692 KB Output is correct
10 Correct 1526 ms 16712 KB Output is correct
11 Correct 2021 ms 16684 KB Output is correct
12 Incorrect 1103 ms 16764 KB 170th lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 376 ms 10368 KB Output is correct
2 Correct 1139 ms 45304 KB Output is correct
3 Correct 1178 ms 45220 KB Output is correct
4 Correct 1018 ms 59360 KB Output is correct
5 Correct 1016 ms 59444 KB Output is correct
6 Correct 970 ms 59444 KB Output is correct
7 Correct 1217 ms 59360 KB Output is correct
8 Correct 1656 ms 16684 KB Output is correct
9 Correct 1582 ms 16684 KB Output is correct
10 Correct 1115 ms 16712 KB Output is correct
11 Correct 1370 ms 16708 KB Output is correct
12 Correct 101 ms 45296 KB Output is correct
13 Correct 147 ms 59480 KB Output is correct
14 Correct 142 ms 59440 KB Output is correct
15 Correct 39 ms 16640 KB Output is correct
16 Correct 45 ms 16692 KB Output is correct
17 Correct 96 ms 43848 KB Output is correct
18 Correct 107 ms 45256 KB Output is correct
19 Correct 103 ms 45236 KB Output is correct
20 Correct 127 ms 59460 KB Output is correct
21 Correct 131 ms 59396 KB Output is correct
22 Correct 115 ms 59412 KB Output is correct
23 Correct 121 ms 59436 KB Output is correct
24 Correct 40 ms 16696 KB Output is correct
25 Correct 47 ms 16664 KB Output is correct
26 Correct 41 ms 16712 KB Output is correct
27 Correct 39 ms 16716 KB Output is correct
28 Correct 2 ms 960 KB Output is correct
29 Correct 2 ms 1104 KB Output is correct
30 Correct 2 ms 1104 KB Output is correct
31 Correct 2 ms 592 KB Output is correct
32 Correct 1 ms 592 KB Output is correct
33 Correct 2 ms 592 KB Output is correct
34 Correct 3 ms 976 KB Output is correct
35 Correct 2 ms 976 KB Output is correct
36 Correct 2 ms 1104 KB Output is correct
37 Correct 2 ms 1104 KB Output is correct
38 Correct 3 ms 1104 KB Output is correct
39 Correct 2 ms 1104 KB Output is correct
40 Correct 2 ms 592 KB Output is correct
41 Correct 1 ms 592 KB Output is correct
42 Correct 1 ms 564 KB Output is correct
43 Correct 1 ms 592 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 2 ms 976 KB Output is correct
3 Correct 2 ms 976 KB Output is correct
4 Correct 2 ms 1104 KB Output is correct
5 Correct 2 ms 1196 KB Output is correct
6 Correct 2 ms 1104 KB Output is correct
7 Correct 2 ms 1104 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 2 ms 592 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 2 ms 592 KB Output is correct
12 Incorrect 1 ms 208 KB 1st lines differ - on the 1st token, expected: '2', found: '1'
13 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 523 ms 9564 KB 12th lines differ - on the 1st token, expected: '2', found: '1'
2 Halted 0 ms 0 KB -