oj.uz

Submission #458462

# Submission time Handle Problem Language Result Execution time Memory
458462 2021-08-08T04:39:10 Z leinad2 Comparing Plants (IOI20_plants) C++17
100 / 100
 2454 ms 117532 KB 
#include "plants.h"
#include<bits/stdc++.h>
using namespace std;
int K, i, j, N, R[200010], X[200010], lazy[800010], A[200010], B[200010], sparse1[200010][20], sparse2[200010][20];
long long sparse3[200010][20], sparse4[200010][20];
struct st
{
    int x, y;
    const bool operator<(st a)const
    {
        if(x==a.x)return y<a.y;
        return x>a.x;
    }
};
set<st>s;
struct node
{
    int x, y;
}seg[800010];
node merge(node a, node b)
{
    if(a.x<b.x)return a;
    if(a.x>b.x)return b;
    return {a.x, min(a.y, b.y)};
}
void busy(int id)
{
    seg[id*2].x+=lazy[id];
    seg[id*2+1].x+=lazy[id];
    lazy[id*2]+=lazy[id];
    lazy[id*2+1]+=lazy[id];
    lazy[id]=0;
}
void init(int id, int s, int e)
{
    if(s==e)
    {
        seg[id].x=R[s];
        seg[id].y=s;
        return;
    }
    int m=s+e>>1;
    init(id*2, s, m);init(id*2+1, m+1, e);
    seg[id]=merge(seg[id*2], seg[id*2+1]);
}
void update(int id, int s, int e, int l, int r, int v)
{
    if(e<l||r<s)return;
    if(l<=s&&e<=r)
    {
        lazy[id]+=v;
        seg[id].x+=v;
        return;
    }
    busy(id);int m=s+e>>1;
    update(id*2, s, m, l, r, v);update(id*2+1, m+1, e, l, r, v);
    seg[id]=merge(seg[id*2], seg[id*2+1]);
}
node get(int id, int s, int e, int l, int r)
{
    if(e<l||r<s)return {(int)1e9, 0};
    if(l<=s&&e<=r)return seg[id];
    busy(id);int m=s+e>>1;
    return merge(get(id*2, s, m, l, r), get(id*2+1, m+1, e, l, r));
}
int f(int a)
{
    a%=N;
    if(a<=0)a+=N;
    return a;
}
void init(int k, vector<int>r)
{
    K=k;N=r.size();for(i=0;i++<N;)X[i]=-1;
    for(i=0;i++<N;)R[i]=r[i-1];
    init(1, 1, N);
    vector<int>v;
    for(i=0;i++<N;)
    {
        if(R[i]==0)
        {
            if(i>=K)
            {
                node a=get(1, 1, N, i-K+1, i-1);
                if(a.x)v.push_back(i);
            }
            else
            {
                node a=merge(get(1, 1, N, 1, i-1), get(1, 1, N, N-K+i+1, N));
                if(a.x)v.push_back(i);
            }
        }
    }
    int group=0;
    while(v.size())
    {
        vector<int>V;
        for(auto i:v)
        {
            if(i>=K)update(1, 1, N, i-K+1, i-1, -1);
            else update(1, 1, N, 1, i-1, -1),update(1, 1, N, N-k+i+1, N, -1);
            X[i]=group;update(1, 1, N, i, i, 1e9);
        }
        for(auto i:v)
        {
            if(i>=K)
            {
                node a=get(1, 1, N, i-K+1, i-1);
                if(a.x==0)V.push_back(a.y);
            }
            else
            {
                node a=get(1, 1, N, 1, i-1);
                node b=get(1, 1, N, N-k+i+1, N);
                if(b.x==0)V.push_back(b.y);
                else if(a.x==0)V.push_back(a.y);
            }
            if(i<=N-K+1)
            {
                node a=get(1, 1, N, i+1, i+K-1);
                if(a.x==0)V.push_back(a.y);
            }
            else
            {
                node a=get(1, 1, N, i+1, N);
                node b=get(1, 1, N, 1, i+K-1-N);
                if(a.x==0)V.push_back(a.y);
                else if(b.x==0)V.push_back(b.y);
            }
        }
        sort(V.begin(), V.end());
        v.clear();
        for(auto i:V)
        {
            node a;
            if(i>=K)a=get(1, 1, N, i-K+1, i-1);
            else a=merge(get(1, 1, N, 1, i-1), get(1, 1, N, i-K+1+N, N));
            if(a.x==0)continue;
            if(!v.size()||v.back()!=i)v.push_back(i);
        }
        group++;
    }
    for(i=0;i++<N;)X[i]=N-X[i];
    for(j=-K+2;j<=0;j++)s.insert({X[f(j)], j});
    for(i=0;i++<N;)
    {
        if((*s.rbegin()).x>=X[i])A[i]=i;
        else A[i]=f((*s.lower_bound({X[i]-1, (int)-1e9})).y);
        s.erase({X[f(i-K+1)], i-K+1});
        s.insert({X[i], i});
    }
    s.clear();
    for(i=1;i<=N/2;i++)swap(X[i], X[N+1-i]);
    for(j=-K+2;j<=0;j++)s.insert({X[f(j)], j});
    for(i=0;i++<N;)
    {
        if((*s.rbegin()).x>=X[i])B[i]=i;
        else B[i]=f((*s.lower_bound({X[i]-1, (int)-1e9})).y);
        s.erase({X[f(i-K+1)], i-K+1});
        s.insert({X[i], i});
    }
    for(i=1;i<=N/2;i++)swap(X[i], X[N+1-i]);
    for(i=0;i++<N;)B[i]=N+1-B[i];
    for(i=1;i<=N/2;i++)swap(B[i], B[N+1-i]);
    for(i=0;i++<N;)sparse1[i][0]=A[i],sparse2[i][0]=B[i];
    for(i=0;i++<N;)sparse3[i][0]=f(i-A[i])%N,sparse4[i][0]=f(B[i]-i)%N;
    for(j=1;j<20;j++)
    {
        for(i=0;i++<N;)
        {
            sparse1[i][j]=sparse1[sparse1[i][j-1]][j-1];
            sparse2[i][j]=sparse2[sparse2[i][j-1]][j-1];
            sparse3[i][j]=sparse3[sparse1[i][j-1]][j-1]+sparse3[i][j-1];
            sparse4[i][j]=sparse4[sparse2[i][j-1]][j-1]+sparse4[i][j-1];
        }
    }
	return;
}
int compare_plants(int x, int y)
{
    if(X[x+1]<X[y+1])return -compare_plants(y, x);
    x++;y++;
    int a=x, b=x;long long dist=0, dist2=0;
    for(j=19;j>=0;j--)
    {
        if(X[sparse1[a][j]]>=X[y])
        {
            dist+=sparse3[a][j];
            a=sparse1[a][j];
        }
        if(X[sparse2[b][j]]>=X[y])
        {
            dist2+=sparse4[b][j];
            b=sparse2[b][j];
        }
    }
    long long p=x-dist, q=x+dist2;
    if((p<=y-N&&y-N<=q)||(p<=y&&y<=q)||(p<=y+N&&y+N<=q))return 1;
    return 0;
}

Compilation message

plants.cpp: In function 'void init(int, int, int)':
plants.cpp:42:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   42 |     int m=s+e>>1;
      |           ~^~
plants.cpp: In function 'void update(int, int, int, int, int, int)':
plants.cpp:55:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   55 |     busy(id);int m=s+e>>1;
      |                    ~^~
plants.cpp: In function 'node get(int, int, int, int, int)':
plants.cpp:63:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   63 |     busy(id);int m=s+e>>1;
      |                    ~^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 312 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 80 ms 4156 KB Output is correct
7 Correct 207 ms 15856 KB Output is correct
8 Correct 775 ms 109632 KB Output is correct
9 Correct 826 ms 109476 KB Output is correct
10 Correct 859 ms 109440 KB Output is correct
11 Correct 878 ms 109444 KB Output is correct
12 Correct 899 ms 109444 KB Output is correct
13 Correct 929 ms 109544 KB Output is correct
14 Correct 873 ms 109444 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 8 ms 1012 KB Output is correct
7 Correct 159 ms 6472 KB Output is correct
8 Correct 3 ms 460 KB Output is correct
9 Correct 7 ms 972 KB Output is correct
10 Correct 144 ms 6576 KB Output is correct
11 Correct 134 ms 6396 KB Output is correct
12 Correct 128 ms 6576 KB Output is correct
13 Correct 175 ms 6572 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 8 ms 1012 KB Output is correct
7 Correct 159 ms 6472 KB Output is correct
8 Correct 3 ms 460 KB Output is correct
9 Correct 7 ms 972 KB Output is correct
10 Correct 144 ms 6576 KB Output is correct
11 Correct 134 ms 6396 KB Output is correct
12 Correct 128 ms 6576 KB Output is correct
13 Correct 175 ms 6572 KB Output is correct
14 Correct 301 ms 15108 KB Output is correct
15 Correct 2029 ms 113856 KB Output is correct
16 Correct 303 ms 15088 KB Output is correct
17 Correct 2454 ms 113944 KB Output is correct
18 Correct 1486 ms 112820 KB Output is correct
19 Correct 1287 ms 112808 KB Output is correct
20 Correct 2262 ms 117532 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 110 ms 4676 KB Output is correct
4 Correct 1044 ms 109444 KB Output is correct
5 Correct 1132 ms 109444 KB Output is correct
6 Correct 1376 ms 109440 KB Output is correct
7 Correct 1650 ms 111388 KB Output is correct
8 Correct 1914 ms 115340 KB Output is correct
9 Correct 1044 ms 110460 KB Output is correct
10 Correct 971 ms 110544 KB Output is correct
11 Correct 902 ms 110456 KB Output is correct
12 Correct 953 ms 110628 KB Output is correct
13 Correct 1354 ms 113512 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 304 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 3 ms 460 KB Output is correct
7 Correct 19 ms 1376 KB Output is correct
8 Correct 22 ms 1484 KB Output is correct
9 Correct 20 ms 1484 KB Output is correct
10 Correct 21 ms 1440 KB Output is correct
11 Correct 21 ms 1380 KB Output is correct
12 Correct 20 ms 1384 KB Output is correct
13 Correct 26 ms 1476 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 308 KB Output is correct
5 Correct 4 ms 844 KB Output is correct
6 Correct 1081 ms 109548 KB Output is correct
7 Correct 1296 ms 110004 KB Output is correct
8 Correct 1365 ms 110496 KB Output is correct
9 Correct 1715 ms 114480 KB Output is correct
10 Correct 871 ms 109604 KB Output is correct
11 Correct 1492 ms 113968 KB Output is correct
12 Correct 887 ms 109484 KB Output is correct
13 Correct 1073 ms 109664 KB Output is correct
14 Correct 1228 ms 109904 KB Output is correct
15 Correct 1538 ms 110432 KB Output is correct
16 Correct 1006 ms 109564 KB Output is correct
17 Correct 999 ms 109672 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 312 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 80 ms 4156 KB Output is correct
7 Correct 207 ms 15856 KB Output is correct
8 Correct 775 ms 109632 KB Output is correct
9 Correct 826 ms 109476 KB Output is correct
10 Correct 859 ms 109440 KB Output is correct
11 Correct 878 ms 109444 KB Output is correct
12 Correct 899 ms 109444 KB Output is correct
13 Correct 929 ms 109544 KB Output is correct
14 Correct 873 ms 109444 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 308 KB Output is correct
20 Correct 8 ms 1012 KB Output is correct
21 Correct 159 ms 6472 KB Output is correct
22 Correct 3 ms 460 KB Output is correct
23 Correct 7 ms 972 KB Output is correct
24 Correct 144 ms 6576 KB Output is correct
25 Correct 134 ms 6396 KB Output is correct
26 Correct 128 ms 6576 KB Output is correct
27 Correct 175 ms 6572 KB Output is correct
28 Correct 301 ms 15108 KB Output is correct
29 Correct 2029 ms 113856 KB Output is correct
30 Correct 303 ms 15088 KB Output is correct
31 Correct 2454 ms 113944 KB Output is correct
32 Correct 1486 ms 112820 KB Output is correct
33 Correct 1287 ms 112808 KB Output is correct
34 Correct 2262 ms 117532 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 110 ms 4676 KB Output is correct
38 Correct 1044 ms 109444 KB Output is correct
39 Correct 1132 ms 109444 KB Output is correct
40 Correct 1376 ms 109440 KB Output is correct
41 Correct 1650 ms 111388 KB Output is correct
42 Correct 1914 ms 115340 KB Output is correct
43 Correct 1044 ms 110460 KB Output is correct
44 Correct 971 ms 110544 KB Output is correct
45 Correct 902 ms 110456 KB Output is correct
46 Correct 953 ms 110628 KB Output is correct
47 Correct 1354 ms 113512 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct
51 Correct 1 ms 304 KB Output is correct
52 Correct 1 ms 332 KB Output is correct
53 Correct 3 ms 460 KB Output is correct
54 Correct 19 ms 1376 KB Output is correct
55 Correct 22 ms 1484 KB Output is correct
56 Correct 20 ms 1484 KB Output is correct
57 Correct 21 ms 1440 KB Output is correct
58 Correct 21 ms 1380 KB Output is correct
59 Correct 20 ms 1384 KB Output is correct
60 Correct 26 ms 1476 KB Output is correct
61 Correct 125 ms 5856 KB Output is correct
62 Correct 175 ms 15924 KB Output is correct
63 Correct 867 ms 110520 KB Output is correct
64 Correct 1170 ms 110656 KB Output is correct
65 Correct 1293 ms 110772 KB Output is correct
66 Correct 1510 ms 111548 KB Output is correct
67 Correct 1978 ms 115424 KB Output is correct
68 Correct 1016 ms 110460 KB Output is correct
69 Correct 1678 ms 114840 KB Output is correct
70 Correct 963 ms 110360 KB Output is correct
71 Correct 1152 ms 110520 KB Output is correct
72 Correct 1430 ms 110780 KB Output is correct
73 Correct 1694 ms 111340 KB Output is correct
74 Correct 975 ms 110652 KB Output is correct
75 Correct 1070 ms 110592 KB Output is correct