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Submission #787117

# Submission time Handle Problem Language Result Execution time Memory
787117 2023-07-18T20:35:47 Z alexander707070 Radio Towers (IOI22_towers) C++17
56 / 100
 4000 ms 7128 KB 
#include<bits/stdc++.h>
#define MAXN 100007
using namespace std;
 
int n,h[MAXN],maxh,num,delta,from[MAXN],to[MAXN],border;
int dp[MAXN],ans,pref[MAXN],se,te;
 
pair<int,int> tree[4*MAXN];
int mins[4*MAXN];
 
pair<int,int> combine(pair<int,int> fr,pair<int,int> sc){
    if(fr.first>sc.first)return fr;
    return sc;
}
 
void build(int v,int l,int r){
    if(l==r){
        tree[v]={h[l],l};
        mins[v]=h[l];
    }else{
        int tt=(l+r)/2;
        build(2*v,l,tt);
        build(2*v+1,tt+1,r);
        tree[v]=combine(tree[2*v],tree[2*v+1]);
        mins[v]=min(mins[2*v],mins[2*v+1]);
    }
}
 
pair<int,int> best(int v,int l,int r,int ll,int rr){
    if(ll>rr)return {-1,0};
    if(l==ll and r==rr){
        return tree[v];
    }else{
        int tt=(l+r)/2;
        return combine( best(2*v,l,tt,ll,min(tt,rr)) , best(2*v+1,tt+1,r,max(tt+1,ll),rr) );
    }
}
 
int minh(int v,int l,int r,int ll,int rr){
    if(ll>rr)return 1000000000;
    if(l==ll and r==rr){
        return mins[v];
    }else{
        int tt=(l+r)/2;
        return min( minh(2*v,l,tt,ll,min(tt,rr)) , minh(2*v+1,tt+1,r,max(tt+1,ll),rr) );
    }
}

vector<int> st,poss,lt,rt;
 
void calc(){
    for(int i=1;i<=n;i++){
        while(!st.empty() and h[i]>h[st.back()]){
            st.pop_back();
        }
        st.push_back(i);

        int l=-1,r=st.size(),tt;
        while(l+1<r){
            tt=(l+r)/2;
            if(h[st[tt]]>=h[i]+delta){
                l=tt;
            }else{
                r=tt;
            }
        }

        if(l!=-1 and minh(1,1,n,st[l],i)>=h[i])from[i]=st[l];
        else from[i]=0;
    }

    while(!st.empty())st.pop_back();

    for(int i=n;i>=1;i--){
        while(!st.empty() and h[i]>h[st.back()]){
            st.pop_back();
        }
        st.push_back(i);

        int l=-1,r=st.size(),tt;
        while(l+1<r){
            tt=(l+r)/2;
            if(h[st[tt]]>=h[i]+delta){
                l=tt;
            }else{
                r=tt;
            }
        }
        if(l!=-1 and minh(1,1,n,i,st[l])>=h[i])to[i]=st[l];
        else to[i]=n+1;
    }

    for(int i=1;i<=n;i++){
        if(from[i]>=1 and to[i]<=n){
            poss.push_back(i);
        }
        if(to[i]<=n)lt.push_back(i);
        if(from[i]>=1)rt.push_back(i);
    }
}

void init(int N,vector<int> H){
    n=N;
    for(int i=1;i<=n;i++){
        h[i]=H[i-1];
    }
    build(1,1,n);
}
 
int solve(int l,int r,int maxh,int d){
    if(l>r)return 0;
 
    int pos=best(1,1,n,l,r).second;
 
    int z=0;
    if(minh(1,1,n,l,r)<=maxh)z=1;
 
    return max(z, solve(l,pos-1,h[pos]-d,d)+solve(pos+1,r,h[pos]-d,d) );
}
 
int max_towers(int L, int R, int D){
    if(delta==0){
        delta=D;
        calc();
    }

    L++; R++;
    if(D==delta){
        ans=0;

        int l=-1,r=poss.size(),tt;
        while(l+1<r){
            tt=(l+r)/2;
            if(from[poss[tt]]>=L){
                r=tt;
            }else{
                l=tt;
            }
        }
        se=r;

        l=-1; r=poss.size();
        while(l+1<r){
            tt=(l+r)/2;
            if(to[poss[tt]]<=R){
                l=tt;
            }else{
                r=tt;
            }
        }
        te=l;

        if(se<=te)ans+=te-se+1;

        if(se==poss.size())se=R+1;
        else se=poss[se];

        if(te==-1)te=L-1;
        else te=poss[te];

        l=-1; r=lt.size();
        while(l+1<r){
            tt=(l+r)/2;
            if(lt[tt]>=L){
                r=tt;
            }else{
                l=tt;
            }
        }

        border=-1;
        if(r!=lt.size() and to[lt[r]]<se){
            border=to[lt[r]]; ans++;
        }

        l=-1; r=rt.size();
        while(l+1<r){
            tt=(l+r)/2;
            if(rt[tt]<=R){
                l=tt;
            }else{
                r=tt;
            }
        }
        if(l!=-1 and from[rt[l]]>=max(border,te+1))ans++;

        if(ans==0)ans++;

        return ans;   
    }

    return solve(L,R,1000000000,D);
}
 
/*
int main(){
    init(7, {10, 20, 60, 40, 50, 30, 70});
    cout<<max_towers(1,5,10)<<"\n";
    cout<<max_towers(0, 6, 17)<<"\n";
}
*/

Compilation message

towers.cpp: In function 'int max_towers(int, int, int)':
towers.cpp:155:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  155 |         if(se==poss.size())se=R+1;
      |            ~~^~~~~~~~~~~~~
towers.cpp:172:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  172 |         if(r!=lt.size() and to[lt[r]]<se){
      |            ~^~~~~~~~~~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4010 ms 7128 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 26 ms 3336 KB Output is correct
37 Correct 23 ms 5184 KB Output is correct
38 Correct 36 ms 5688 KB Output is correct
39 Correct 21 ms 5024 KB Output is correct
40 Correct 44 ms 5784 KB Output is correct
41 Correct 33 ms 5448 KB Output is correct
42 Correct 44 ms 5808 KB Output is correct
43 Correct 31 ms 6068 KB Output is correct
44 Correct 35 ms 6140 KB Output is correct
45 Correct 23 ms 5680 KB Output is correct
46 Correct 33 ms 5548 KB Output is correct
47 Correct 42 ms 5752 KB Output is correct
48 Correct 45 ms 5816 KB Output is correct
49 Correct 55 ms 5812 KB Output is correct
50 Correct 25 ms 6176 KB Output is correct
51 Correct 29 ms 6172 KB Output is correct
52 Correct 39 ms 5800 KB Output is correct
53 Correct 51 ms 5824 KB Output is correct
54 Correct 44 ms 5804 KB Output is correct
55 Correct 25 ms 6268 KB Output is correct
56 Correct 36 ms 6116 KB Output is correct
57 Correct 35 ms 5232 KB Output is correct
58 Correct 37 ms 5396 KB Output is correct
59 Correct 37 ms 5660 KB Output is correct
60 Correct 39 ms 5792 KB Output is correct
61 Correct 36 ms 5804 KB Output is correct
62 Correct 36 ms 5676 KB Output is correct
63 Correct 34 ms 5796 KB Output is correct
64 Correct 25 ms 5872 KB Output is correct
65 Correct 23 ms 5856 KB Output is correct
66 Correct 36 ms 5580 KB Output is correct
67 Correct 24 ms 5740 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 609 ms 5828 KB Output is correct
2 Correct 936 ms 5764 KB Output is correct
3 Correct 911 ms 5824 KB Output is correct
4 Correct 714 ms 5860 KB Output is correct
5 Correct 799 ms 5792 KB Output is correct
6 Correct 836 ms 5824 KB Output is correct
7 Correct 1018 ms 5792 KB Output is correct
8 Correct 860 ms 6256 KB Output is correct
9 Correct 844 ms 6252 KB Output is correct
10 Correct 738 ms 6160 KB Output is correct
11 Correct 713 ms 6168 KB Output is correct
12 Correct 636 ms 6252 KB Output is correct
13 Correct 747 ms 6264 KB Output is correct
14 Correct 0 ms 336 KB Output is correct
15 Correct 1 ms 444 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 50 ms 5864 KB Output is correct
18 Correct 37 ms 5860 KB Output is correct
19 Correct 38 ms 5852 KB Output is correct
20 Correct 23 ms 6132 KB Output is correct
21 Correct 23 ms 6136 KB Output is correct
22 Correct 40 ms 5784 KB Output is correct
23 Correct 48 ms 5840 KB Output is correct
24 Correct 49 ms 5804 KB Output is correct
25 Correct 23 ms 6208 KB Output is correct
26 Correct 32 ms 6124 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 2 ms 336 KB Output is correct
35 Correct 1 ms 316 KB Output is correct
36 Correct 1 ms 336 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4022 ms 1644 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 0 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 26 ms 3336 KB Output is correct
37 Correct 23 ms 5184 KB Output is correct
38 Correct 36 ms 5688 KB Output is correct
39 Correct 21 ms 5024 KB Output is correct
40 Correct 44 ms 5784 KB Output is correct
41 Correct 33 ms 5448 KB Output is correct
42 Correct 44 ms 5808 KB Output is correct
43 Correct 31 ms 6068 KB Output is correct
44 Correct 35 ms 6140 KB Output is correct
45 Correct 23 ms 5680 KB Output is correct
46 Correct 33 ms 5548 KB Output is correct
47 Correct 42 ms 5752 KB Output is correct
48 Correct 45 ms 5816 KB Output is correct
49 Correct 55 ms 5812 KB Output is correct
50 Correct 25 ms 6176 KB Output is correct
51 Correct 29 ms 6172 KB Output is correct
52 Correct 39 ms 5800 KB Output is correct
53 Correct 51 ms 5824 KB Output is correct
54 Correct 44 ms 5804 KB Output is correct
55 Correct 25 ms 6268 KB Output is correct
56 Correct 36 ms 6116 KB Output is correct
57 Correct 35 ms 5232 KB Output is correct
58 Correct 37 ms 5396 KB Output is correct
59 Correct 37 ms 5660 KB Output is correct
60 Correct 39 ms 5792 KB Output is correct
61 Correct 36 ms 5804 KB Output is correct
62 Correct 36 ms 5676 KB Output is correct
63 Correct 34 ms 5796 KB Output is correct
64 Correct 25 ms 5872 KB Output is correct
65 Correct 23 ms 5856 KB Output is correct
66 Correct 36 ms 5580 KB Output is correct
67 Correct 24 ms 5740 KB Output is correct
68 Correct 609 ms 5828 KB Output is correct
69 Correct 936 ms 5764 KB Output is correct
70 Correct 911 ms 5824 KB Output is correct
71 Correct 714 ms 5860 KB Output is correct
72 Correct 799 ms 5792 KB Output is correct
73 Correct 836 ms 5824 KB Output is correct
74 Correct 1018 ms 5792 KB Output is correct
75 Correct 860 ms 6256 KB Output is correct
76 Correct 844 ms 6252 KB Output is correct
77 Correct 738 ms 6160 KB Output is correct
78 Correct 713 ms 6168 KB Output is correct
79 Correct 636 ms 6252 KB Output is correct
80 Correct 747 ms 6264 KB Output is correct
81 Correct 0 ms 336 KB Output is correct
82 Correct 1 ms 444 KB Output is correct
83 Correct 1 ms 336 KB Output is correct
84 Correct 50 ms 5864 KB Output is correct
85 Correct 37 ms 5860 KB Output is correct
86 Correct 38 ms 5852 KB Output is correct
87 Correct 23 ms 6132 KB Output is correct
88 Correct 23 ms 6136 KB Output is correct
89 Correct 40 ms 5784 KB Output is correct
90 Correct 48 ms 5840 KB Output is correct
91 Correct 49 ms 5804 KB Output is correct
92 Correct 23 ms 6208 KB Output is correct
93 Correct 32 ms 6124 KB Output is correct
94 Correct 1 ms 336 KB Output is correct
95 Correct 1 ms 336 KB Output is correct
96 Correct 1 ms 336 KB Output is correct
97 Correct 1 ms 336 KB Output is correct
98 Correct 1 ms 336 KB Output is correct
99 Correct 1 ms 336 KB Output is correct
100 Correct 1 ms 336 KB Output is correct
101 Correct 2 ms 336 KB Output is correct
102 Correct 1 ms 316 KB Output is correct
103 Correct 1 ms 336 KB Output is correct
104 Correct 732 ms 5616 KB Output is correct
105 Correct 794 ms 5648 KB Output is correct
106 Correct 892 ms 5388 KB Output is correct
107 Correct 929 ms 5724 KB Output is correct
108 Correct 758 ms 5040 KB Output is correct
109 Correct 745 ms 5648 KB Output is correct
110 Correct 712 ms 5836 KB Output is correct
111 Correct 590 ms 5864 KB Output is correct
112 Correct 860 ms 5868 KB Output is correct
113 Correct 819 ms 5792 KB Output is correct
114 Correct 578 ms 6092 KB Output is correct

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4010 ms 7128 KB Time limit exceeded
2 Halted 0 ms 0 KB -