Submission #828014

# Submission time Handle Problem Language Result Execution time Memory
828014 2023-08-17T01:38:35 Z physics07 Radio Towers (IOI22_towers) C++17
31 / 100
830 ms 31636 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=0;
        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 Incorrect 387 ms 28968 KB 11th lines differ - on the 1st token, expected: '1', found: '0'
2 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 2 ms 1684 KB Output is correct
4 Correct 2 ms 1684 KB Output is correct
5 Correct 1 ms 1684 KB Output is correct
6 Correct 1 ms 1684 KB Output is correct
7 Incorrect 2 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 2 ms 1684 KB Output is correct
4 Correct 2 ms 1684 KB Output is correct
5 Correct 1 ms 1684 KB Output is correct
6 Correct 1 ms 1684 KB Output is correct
7 Incorrect 2 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 595 ms 31088 KB Output is correct
2 Correct 808 ms 31024 KB Output is correct
3 Correct 735 ms 31024 KB Output is correct
4 Correct 830 ms 31132 KB Output is correct
5 Correct 795 ms 31064 KB Output is correct
6 Correct 706 ms 31100 KB Output is correct
7 Correct 788 ms 31048 KB Output is correct
8 Correct 763 ms 31280 KB Output is correct
9 Correct 701 ms 31452 KB Output is correct
10 Correct 783 ms 31292 KB Output is correct
11 Correct 753 ms 31264 KB Output is correct
12 Correct 636 ms 31248 KB Output is correct
13 Correct 735 ms 31480 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 57 ms 31012 KB Output is correct
18 Correct 58 ms 31064 KB Output is correct
19 Correct 59 ms 31024 KB Output is correct
20 Correct 45 ms 31540 KB Output is correct
21 Correct 55 ms 31248 KB Output is correct
22 Correct 58 ms 31112 KB Output is correct
23 Correct 66 ms 31112 KB Output is correct
24 Correct 67 ms 31148 KB Output is correct
25 Correct 57 ms 31636 KB Output is correct
26 Correct 53 ms 31144 KB Output is correct
27 Correct 2 ms 1684 KB Output is correct
28 Correct 1 ms 1684 KB Output is correct
29 Correct 2 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 227 ms 8548 KB Output is correct
2 Correct 749 ms 31144 KB Output is correct
3 Correct 737 ms 31108 KB Output is correct
4 Correct 662 ms 31112 KB Output is correct
5 Correct 776 ms 31148 KB Output is correct
6 Correct 674 ms 31120 KB Output is correct
7 Correct 765 ms 31148 KB Output is correct
8 Correct 663 ms 31276 KB Output is correct
9 Correct 640 ms 31532 KB Output is correct
10 Correct 729 ms 31148 KB Output is correct
11 Correct 636 ms 31188 KB Output is correct
12 Correct 73 ms 31016 KB Output is correct
13 Correct 77 ms 31120 KB Output is correct
14 Correct 76 ms 31020 KB Output is correct
15 Correct 48 ms 31464 KB Output is correct
16 Correct 61 ms 31148 KB Output is correct
17 Correct 63 ms 30976 KB Output is correct
18 Correct 62 ms 31112 KB Output is correct
19 Correct 70 ms 31056 KB Output is correct
20 Correct 81 ms 31028 KB Output is correct
21 Correct 81 ms 31024 KB Output is correct
22 Correct 79 ms 31116 KB Output is correct
23 Correct 78 ms 31100 KB Output is correct
24 Correct 52 ms 31276 KB Output is correct
25 Correct 59 ms 31532 KB Output is correct
26 Correct 63 ms 31256 KB Output is correct
27 Correct 49 ms 31424 KB Output is correct
28 Correct 1 ms 1684 KB Output is correct
29 Correct 2 ms 1684 KB Output is correct
30 Correct 2 ms 1684 KB Output is correct
31 Correct 1 ms 1684 KB Output is correct
32 Correct 2 ms 1736 KB Output is correct
33 Correct 1 ms 1424 KB Output is correct
34 Correct 2 ms 1684 KB Output is correct
35 Correct 2 ms 1684 KB Output is correct
36 Correct 2 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 2 ms 1684 KB Output is correct
40 Correct 2 ms 1688 KB Output is correct
41 Correct 1 ms 1684 KB Output is correct
42 Correct 2 ms 1688 KB Output is correct
43 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 2 ms 1684 KB Output is correct
4 Correct 2 ms 1684 KB Output is correct
5 Correct 1 ms 1684 KB Output is correct
6 Correct 1 ms 1684 KB Output is correct
7 Incorrect 2 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 Incorrect 387 ms 28968 KB 11th lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -