Submission #828017

# Submission time Handle Problem Language Result Execution time Memory
828017 2023-08-17T01:40:34 Z physics07 Radio Towers (IOI22_towers) C++17
35 / 100
795 ms 31556 KB
#include "towers.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int inf=1e9+7;
int n, lt[100001], rt[100001], cut[100001], root[100001];
stack<int> stk;
vector<pair<int, int>> v;
vector<int> del, a;
struct maxseg {
    int tree[100001*2], sz;
    void init(int n) {sz=n;}
    void update(int idx, int v) {
        for(tree[idx+=sz]=v; idx>1; idx>>=1) tree[idx>>1]=max(tree[idx], tree[idx^1]);
    }
    int query(int l, int r) {
        int res=0;
        for(l+=sz, r+=sz; l<=r; l>>=1, r>>=1) {
            if(l&1) res=max(res, tree[l++]);
            if(~r&1) res=max(res, tree[r--]);
        }
        return res;
    }
} tree;
struct minseg {
    int tree[100001*2], sz;
    void init(int n) {
        sz=n;
        memset(tree, 0x3f, sizeof(tree));
    }
    void update(int idx, int v) {
        for(tree[idx+=sz]=v; idx>1; idx>>=1) tree[idx>>1]=min(tree[idx], tree[idx^1]);
    }
    int query(int l, int r) {
        int res=inf;
        for(l+=sz, r+=sz; l<=r; l>>=1, r>>=1) {
            if(l&1) res=min(res, tree[l++]);
            if(~r&1) res=min(res, tree[r--]);
        }
        return res;
    }
} mtree;
struct PST {
    struct Node {
        int v, l, r;
    };
    vector<Node> tree;
    void mak() {tree.push_back({0, -1, -1});}
    void init(int node, int s, int e) {
        if(s==e) return;
        tree[node].l=(int)tree.size();
        mak();
        tree[node].r=(int)tree.size();
        mak();
        int m=s+e>>1;
        init(tree[node].l, s, m);
        init(tree[node].r, m+1, e);
    }
    void update(int node, int s, int e, int idx, int v, int prv) {
        if(s>idx || e<idx) return;
        tree[node]=tree[prv];
        tree[node].v+=v;
        if(s==e) return;
        int m=s+e>>1;
        if(idx<=m) {
            tree[node].l=(int)tree.size();
            mak();
            update(tree[node].l, s, m, idx, v, tree[prv].l);
        }
        else {
            tree[node].r=(int)tree.size();
            mak();
            update(tree[node].r, m+1, e, idx, v, tree[prv].r);
        }
    }
    int query(int node, int s, int e, int l, int r) {
        if(s>r || e<l) return 0;
        if(s>=l && e<=r) return tree[node].v;
        int m=s+e>>1;
        return query(tree[node].l, s, m, l, r)+query(tree[node].r, m+1, e, l, r);
    }
} pst;
void init(int N, vector<int> A) {
    n=N;
    for(auto i: A) a.push_back(i);
    tree.init(n);
    mtree.init(n);
    for(int i=0; i<n; i++) tree.update(i, a[i]);
    for(int i=0; i<n; i++) mtree.update(i, a[i]);
    for(int i=0; i<n; i++) {
        while(!stk.empty() && a[stk.top()]>a[i]) stk.pop();
        lt[i]=(stk.empty() ? -1 : stk.top());
        stk.push(i);
    }
    while(!stk.empty()) stk.pop();
    for(int i=n-1; i>=0; i--) {
        while(!stk.empty() && a[stk.top()]>a[i]) stk.pop();
        rt[i]=(stk.empty() ? n : stk.top());
        stk.push(i);
    }
    for(int i=0; i<n; i++) {
        int curr=inf;
        if(lt[i]>=0) curr=min(curr, tree.query(lt[i]+1, i));
        if(rt[i]<n) curr=min(curr, tree.query(i, rt[i]-1));
        if(curr==inf) cut[i]=inf;
        else if(curr>a[i]) cut[i]=curr-a[i];
        else cut[i]=0;
        v.push_back({cut[i], i});
        del.push_back(cut[i]);
    }
    del.push_back(inf);
    sort(del.begin(), del.end());
    sort(v.begin(), v.end());
    root[n]=0;
    pst.mak();
    pst.init(0, 0, n-1);
    for(int i=n-1; i>=0; i--) {
        root[i]=(int)pst.tree.size();
        pst.mak();
        pst.update(root[i], 0, n-1, v[i].second, 1, root[i+1]);
    }
}

int max_towers(int l, int r, int d) {
    if(l==r || r==l+1) return 1;
    if(tree.query(l, r)-mtree.query(l, r)<d) return 1;
    int cnt=0;
    if(rt[l]==n || tree.query(l, rt[l]-1)>=d+a[l]) cnt++;
    if(lt[r]==-1 || tree.query(lt[r]+1, r)>=d+a[r]) cnt++;
    int idx=lower_bound(del.begin(), del.end(), d)-del.begin();
    return cnt+pst.query(root[idx], 0, n-1, l+1, r-1);
}

Compilation message

towers.cpp: In member function 'void PST::init(int, int, int)':
towers.cpp:55:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   55 |         int m=s+e>>1;
      |               ~^~
towers.cpp: In member function 'void PST::update(int, int, int, int, int, int)':
towers.cpp:64:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   64 |         int m=s+e>>1;
      |               ~^~
towers.cpp: In member function 'int PST::query(int, int, int, int, int)':
towers.cpp:79:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   79 |         int m=s+e>>1;
      |               ~^~
# Verdict Execution time Memory Grader output
1 Correct 365 ms 29060 KB Output is correct
2 Correct 642 ms 31200 KB Output is correct
3 Correct 688 ms 31152 KB Output is correct
4 Correct 665 ms 31200 KB Output is correct
5 Correct 730 ms 31480 KB Output is correct
6 Correct 638 ms 31276 KB Output is correct
7 Correct 717 ms 31544 KB Output is correct
8 Correct 1 ms 1104 KB Output is correct
9 Correct 1 ms 1688 KB Output is correct
10 Correct 1 ms 1684 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1232 KB Output is correct
2 Correct 2 ms 1684 KB Output is correct
3 Correct 1 ms 1684 KB Output is correct
4 Correct 1 ms 1696 KB Output is correct
5 Correct 1 ms 1684 KB Output is correct
6 Correct 2 ms 1684 KB Output is correct
7 Incorrect 1 ms 1684 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1232 KB Output is correct
2 Correct 2 ms 1684 KB Output is correct
3 Correct 1 ms 1684 KB Output is correct
4 Correct 1 ms 1696 KB Output is correct
5 Correct 1 ms 1684 KB Output is correct
6 Correct 2 ms 1684 KB Output is correct
7 Incorrect 1 ms 1684 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 533 ms 31100 KB Output is correct
2 Correct 795 ms 31020 KB Output is correct
3 Correct 711 ms 31036 KB Output is correct
4 Correct 715 ms 31116 KB Output is correct
5 Correct 770 ms 31088 KB Output is correct
6 Correct 720 ms 31124 KB Output is correct
7 Correct 689 ms 31096 KB Output is correct
8 Correct 720 ms 31248 KB Output is correct
9 Correct 652 ms 31532 KB Output is correct
10 Correct 699 ms 31268 KB Output is correct
11 Correct 659 ms 31276 KB Output is correct
12 Correct 783 ms 31264 KB Output is correct
13 Correct 688 ms 31556 KB Output is correct
14 Correct 1 ms 1104 KB Output is correct
15 Correct 1 ms 1688 KB Output is correct
16 Correct 1 ms 1684 KB Output is correct
17 Correct 62 ms 31128 KB Output is correct
18 Correct 58 ms 31108 KB Output is correct
19 Correct 58 ms 31140 KB Output is correct
20 Correct 45 ms 31524 KB Output is correct
21 Correct 50 ms 31268 KB Output is correct
22 Correct 57 ms 31116 KB Output is correct
23 Correct 58 ms 31020 KB Output is correct
24 Correct 63 ms 31064 KB Output is correct
25 Correct 46 ms 31528 KB Output is correct
26 Correct 53 ms 31148 KB Output is correct
27 Correct 1 ms 1684 KB Output is correct
28 Correct 1 ms 1684 KB Output is correct
29 Correct 1 ms 1684 KB Output is correct
30 Correct 1 ms 1684 KB Output is correct
31 Correct 1 ms 1684 KB Output is correct
32 Correct 1 ms 1684 KB Output is correct
33 Correct 1 ms 1684 KB Output is correct
34 Correct 1 ms 1684 KB Output is correct
35 Correct 1 ms 1684 KB Output is correct
36 Correct 1 ms 1688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 183 ms 8572 KB Output is correct
2 Correct 733 ms 31048 KB Output is correct
3 Correct 675 ms 31148 KB Output is correct
4 Correct 700 ms 31036 KB Output is correct
5 Correct 709 ms 31012 KB Output is correct
6 Correct 767 ms 31020 KB Output is correct
7 Correct 677 ms 31148 KB Output is correct
8 Correct 644 ms 31276 KB Output is correct
9 Correct 558 ms 31520 KB Output is correct
10 Correct 620 ms 31132 KB Output is correct
11 Correct 605 ms 31272 KB Output is correct
12 Correct 57 ms 31056 KB Output is correct
13 Correct 57 ms 31116 KB Output is correct
14 Correct 59 ms 31128 KB Output is correct
15 Correct 45 ms 31468 KB Output is correct
16 Correct 53 ms 31148 KB Output is correct
17 Correct 56 ms 30988 KB Output is correct
18 Correct 58 ms 31152 KB Output is correct
19 Correct 61 ms 31060 KB Output is correct
20 Correct 64 ms 31132 KB Output is correct
21 Correct 59 ms 31108 KB Output is correct
22 Correct 62 ms 31216 KB Output is correct
23 Correct 61 ms 31104 KB Output is correct
24 Correct 45 ms 31260 KB Output is correct
25 Correct 45 ms 31524 KB Output is correct
26 Correct 59 ms 31248 KB Output is correct
27 Correct 49 ms 31448 KB Output is correct
28 Correct 1 ms 1684 KB Output is correct
29 Correct 1 ms 1684 KB Output is correct
30 Correct 1 ms 1684 KB Output is correct
31 Correct 1 ms 1684 KB Output is correct
32 Correct 1 ms 1688 KB Output is correct
33 Correct 1 ms 1360 KB Output is correct
34 Correct 1 ms 1684 KB Output is correct
35 Correct 1 ms 1684 KB Output is correct
36 Correct 1 ms 1684 KB Output is correct
37 Correct 1 ms 1684 KB Output is correct
38 Correct 1 ms 1684 KB Output is correct
39 Correct 1 ms 1684 KB Output is correct
40 Correct 1 ms 1688 KB Output is correct
41 Correct 1 ms 1684 KB Output is correct
42 Correct 1 ms 1688 KB Output is correct
43 Correct 2 ms 1684 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1232 KB Output is correct
2 Correct 2 ms 1684 KB Output is correct
3 Correct 1 ms 1684 KB Output is correct
4 Correct 1 ms 1696 KB Output is correct
5 Correct 1 ms 1684 KB Output is correct
6 Correct 2 ms 1684 KB Output is correct
7 Incorrect 1 ms 1684 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 365 ms 29060 KB Output is correct
2 Correct 642 ms 31200 KB Output is correct
3 Correct 688 ms 31152 KB Output is correct
4 Correct 665 ms 31200 KB Output is correct
5 Correct 730 ms 31480 KB Output is correct
6 Correct 638 ms 31276 KB Output is correct
7 Correct 717 ms 31544 KB Output is correct
8 Correct 1 ms 1104 KB Output is correct
9 Correct 1 ms 1688 KB Output is correct
10 Correct 1 ms 1684 KB Output is correct
11 Correct 1 ms 1232 KB Output is correct
12 Correct 2 ms 1684 KB Output is correct
13 Correct 1 ms 1684 KB Output is correct
14 Correct 1 ms 1696 KB Output is correct
15 Correct 1 ms 1684 KB Output is correct
16 Correct 2 ms 1684 KB Output is correct
17 Incorrect 1 ms 1684 KB 1st lines differ - on the 1st token, expected: '34', found: '33'
18 Halted 0 ms 0 KB -