oj.uz

Submission #1044638

# Submission time Handle Problem Language Result Execution time Memory
1044638 2024-08-05T11:55:53 Z nightfal Comparing Plants (IOI20_plants) C++17
19 / 100
 1138 ms 268520 KB 
// #include "plants.h"
#include <iostream>
#include <cstdio>
#include <cassert>
#include <vector>
#include <utility>
#include <tuple>
#include <algorithm>


// using namespace std;
#define maxVal 1'000'000'001
static std:: vector<int> inc,dec,rank,lz,lzr,reach,reach2;
static std:: vector<std::pair<int,int>> t,tr;
static std:: vector<std::vector<int>> g, gt, rangeLR;
static std:: vector<std::vector<std::vector<int>>> power;

static int l,m,q2,subtask=6,rounds;
void print(std::pair<int,int> p) {std::cout << "(" << p.first << "," << p.second << ") "; };
void print(std::vector<int> &v) {for(int elem: v) std::cout << elem << " "; std::cout << std::endl;}
void print(std::vector<std::vector<int>> &v) {for (auto elem: v) print(elem); std::cout << std::endl;}
void print(std::vector<std::pair<int,int>> &v) {for(auto [a,b]: v) std::cout << "(" << a << "," << b << ") ";std::cout << std::endl;}
void print(std::vector<std::vector<std::vector<int>>> &v) {for (auto elem: v) print(elem); std::cout << std::endl;}

std::pair<int,int> update(std::vector<std::pair<int,int>> &t, std::vector<int> &lz, int node,int start,int end,int left,int right,int diff) {
    if (left <= start and end <= right) lz[node] += diff;
    if (start!=end) { lz[2*node] += lz[node]; lz[2*node+1] += lz[node];}
    t[node].first += lz[node]; lz[node]=0;
    if (right < start or end < left) return {maxVal,m+1};
    if (left <= start and end <= right) return t[node];

    int mid=(start+end)/2;
    auto ans1  = update(t,lz,2*node,start,mid,left,right,diff);
    auto ans2  = update(t,lz,2*node+1,mid+1,end,left,right,diff);
    auto ans = std::min(ans1,ans2);
    t[node] = std::min(t[2*node],t[2*node+1]);
    return ans;    
}
std::pair<int,int> findMin(std::vector<std::pair<int,int>> &t, std::vector<int> &lz, int node, int start, int end, int left, int right) {
    if (start!=end) {lz[2*node] += lz[node]; lz[2*node+1] += lz[node];}
    t[node].first += lz[node]; lz[node]=0;
    if (right < start or end < left) return {maxVal,m+1};
    if (left <= start and end <= right) return t[node];
    
    int mid=(start+end)/2;
    auto min1 = findMin(t,lz,2*node,start,mid,left,right);
    auto min2 = findMin(t,lz,2*node+1,mid+1,end,left,right);
    auto ans = std::min(min1,min2);
    t[node] = std::min(t[2*node],t[2*node+1]);    
    return ans;
}
void segInit(std::vector<int> &r, std::vector<std::pair<int,int>> &t, int node, int start, int end) {
    if (start==end) {t[node]={r[start],start}; return;}
    int mid=(start+end)/2;
    segInit(r,t, 2*node,start,mid);
    segInit(r,t, 2*node+1,mid+1,end);
    t[node] = std::min(t[2*node],t[2*node+1]);
    return;
}
int findPreMinI(std::vector<std::pair<int,int>> &t, std::vector<int> &lz, int k,int minI1) {
    if (minI1>0) {
        auto[min2,minI2] = findMin(t,lz,1,0,m-1,std::max(0,minI1-k+1),minI1-1);
        if (min2==0) minI1 = minI2;
    }
    if (minI1-k+1<0) {
        auto[min2,minI2] = findMin(t,lz,1,0,m-1,minI1-k+1+m,m-1);
        if (min2==0) minI1 = minI2;
    }
    return minI1;
}
int computeRank(std::vector<std::pair<int,int>> &t, std::vector<int> &lz, int minI1, int k, int ranking) {

    if (rank[minI1]!=m) return ranking;
    int minI2 = findPreMinI(t,lz,k,minI1);

    while (minI2 != minI1) {
        ranking = computeRank(t,lz,minI2,k,ranking); 
        minI2 = findPreMinI(t,lz,k,minI1);
    }
    rank[minI1] = ranking--;
    update(t,lz,1,0,m-1,minI1,minI1,m-1);
    update(t,lz,1,0,m-1,std::max(0,minI1-k+1),minI1-1,-1);
    if (minI1-k+1<0) update(t,lz,1,0,m-1,minI1-k+1+m,m-1,-1);

    return ranking;
}
void reachable(int node, std::vector<std::vector<int>> &g, std::vector<int> &reach) {
    if (node==-1 or reach[node]) return;
    reach[node] = 1;
    for(int elem: g[node])
        reachable(elem,g,reach);
    return;
}
bool inRangeLeft(int z, int y, int left) {return y < z && (z < left || left <= y) || z < y && (z < left && left <= y);}

int compare(int x, int y) {
    int left, i=0, z=x;
    while(true) {
        left = power[i][z][0];
        if((left==-1) || inRangeLeft(z,y,left)) break;
        i++;
    }
    if (true or left!=-1) {
        for(int j=i-1; j>=0; j--) {
            left = power[j][z][0];
            if (left!=-1 && !inRangeLeft(z,y,left)) z = left; 
        }
        left = power[0][z][0];
        if (left!=-1 && inRangeLeft(z,y,left) && -rank[z]>-rank[y]) return 1;
    }

    int right; 
    i=0; z= x;
    while(true) {
        right = power[i][z][1];
        if(right==-1) break;      
        if(z < y && (right < z || y <= right) || y < z && (y <= right && right < z)) break; 
        i++;
    }
    if(true or right!=-1) {
        for(int j=i-1; j>=0; j--) {
            right = power[j][z][1];
            if(right!=-1 && !(z < y && (right < z || y <= right) || y < z && (y <= right && right < z)))
                z = right;
        }
        right = power[0][z][1];
        if(right!=-1 && (z < y && (right < z || y <= right) || y < z && (y <= right && right < z))) { 
            if (-rank[z]>-rank[y]) return 1;
        }
    }
    return 0;
}
int compare_plants7(int x, int y) {
    // std::cout<< std::endl << "x:" << x << " y:" << y << " " << std::endl;
    int ans = compare(x,y);
    if (ans) return ans;
    else return -compare(y,x);
}
void calPower() {
    int x = m-1, cnt=1;
    while (x) {x>>=1; cnt++;}
    power.resize(cnt,std::vector<std::vector<int>>(m,std::vector<int>(2,-1)));
    for(int j=0; j<m; j++)
        for(int x=0; x<2; x++)
            power[0][j][x] = g[j][x];
    
    for (int i=1; i<cnt; i++)
        for(int j=0; j<m; j++)
            for(int x=0; x<2; x++) {
                if (power[i-1][j][x] == -1) power[i][j][x] = -1;
                else power[i][j][x] = power[i-1][power[i-1][j][x]][x];
            }
    // std::cout << "rank: "<<std::endl; print(rank);
    // std::cout << "power: "<<std::endl; print(power);
    // std::cout << "rangeLR: "<<std::endl; print(rangeLR);
}
void calReachability(int k) {
    tr.resize(4*m); lzr.resize(4*m);
    std::vector<std::pair<int,int>> rankInv;
    for(int i=0; i<m; i++) {rank[i] = -rank[i]; rankInv.push_back({rank[i],i}); }
    sort(rankInv.begin(),rankInv.end());
    segInit(rank,tr,1,0,m-1);

    g.resize(m,std::vector<int>(2,-1)); gt.resize(m);
    
    for(auto [val,i]: rankInv) {
        std::pair<int,int> temp1, temp2;
        temp1 = temp2 = findMin(tr,lzr,1,0,m-1,std::max(0,i-k+1),i-1);
        if (i-k+1<0) temp2 = findMin(tr,lzr,1,0,m-1,i-k+1+m,m-1);
        temp1 = std::min(temp1,temp2);
        if (temp1.first <=0) {g[i][0] = temp1.second;gt[temp1.second].push_back(i);}

        temp1 = temp2 = findMin(tr,lzr,1,0,m-1,i+1,std::min(m-1,i+k-1));
        if (i+k-1>m-1) temp2 = findMin(tr,lzr,1,0,m-1,0,i+k-1-m);
        temp1 = std::min(temp1,temp2);
        if (temp1.first <= 0) {g[i][1] = temp1.second;gt[temp1.second].push_back(i);}
        update(tr,lzr,1,0,m-1,i,i,m);
    }

    calPower();

    // subtask 6
    // reach.resize(m); reach2.resize(m);
    // reachable(0,g,reach);
    // reachable(0,gt,reach2);
    return;
}
void init6(int k, std::vector<int> &r) {
    int n = r.size(); 
    t.resize(4*n); lz.resize(4*n); 
    segInit(r,t,1,0,n-1);
    rank.resize(n,n);
    int ranking = n-1;
    while (ranking >=0) {
        auto [min1,minI1] = findMin(t,lz,1,0,n-1,0,n-1);
        ranking = computeRank(t,lz,minI1,k,ranking);
    }
    calReachability(k);
    return;
}
void transClosure(int n, int k) {
    for (int i=0; i<n; i++)
        for(int j=i-k+1+n; j<=i+k-1+n; j++)
            if (rank[j%n]<rank[i%n]) g[i][j%n]=1;
        for(int x=0; x<n; x++)
        for (int i=0; i<n; i++)
            for(int j=0; j<n; j++)
                g[i][j] = g[i][j] or g[i][x] and g[x][j];
    
    return;
}
void init5(int k, std::vector<int> &r) {
    int n = r.size(); 
    t.resize(4*n); lz.resize(4*n); g.resize(n,std::vector<int>(n));
    segInit(r,t,1,0,n-1);
    rank.resize(n,n);
    int ranking = n-1;
    while (ranking >=0) {
        auto [min1,minI1] = findMin(t,lz,1,0,n-1,0,n-1);
        ranking = computeRank(t,lz,minI1,k,ranking);
    }
    transClosure(n, k);
    return;    
}
void init4(int k, std::vector<int> &r) {
    int n = r.size(); 
    t.resize(4*n); lz.resize(4*n);
    segInit(r,t,1,0,n-1);
    rank.resize(n,n);

    int ranking = n-1;
    while (ranking >=0) {
        auto [min1,minI1] = findMin(t,lz,1,0,n-1,0,n-1);
        ranking = computeRank(t,lz,minI1,k,ranking);
    }
    return;
}
void init3(int k, std::vector<int> &r) {
    int n = r.size(); 
    t.resize(4*n); lz.resize(4*n);
    segInit(r,t,1,0,n-1);
    rank.resize(n,n);

    for(int i=n-1; i>=0; i--) {
        auto [min1,minI1] = findMin(t,lz,1,0,n-1,0,n-1);
        int min2=1, minI2=minI1;
        int min3=1, minI3=minI1;
        if (minI1>0) std::tie(min2,minI2) = findMin(t,lz,1,0,n-1,std::max(0,minI1-(n-k)),minI1-1);
        if (minI1-(n-k)<0) std::tie(min3,minI3) = findMin(t,lz,1,0,n-1,minI1-(n-k)+n,n-1);
        if (min3==0) minI1=minI3;
        else if (min2==0) minI1=minI2;
        rank[minI1] = i;
        update(t,lz,1,0,n-1,minI1,minI1,n-1);
        update(t,lz,1,0,n-1,std::max(0,minI1-k+1),minI1-1,-1);
        if (minI1-k+1<0) update(t,lz,1,0,n-1,minI1-k+1+n,n-1,-1);
    }
    return;
}
int findMax(int k, std::vector<int> &r) {
    int i=2*m-1;
    while (r[i%m]!=0) {i--;}
    int j = i-1;
    while (j > i-k) {
        if (r[j%m]==0) i = j; 
        j--;
    }
    for(int j=i; j>i-k; j--) r[j%m]--;
    return i%m;
}
void init2(int k, std::vector<int> &r) {
    int n = r.size();
    rank.resize(n);
    for(int i=n-1; i>=0; i--)
        rank[findMax(k,r)] = i;   
    return;
}
void init1(int k, std::vector<int> &r) {
    int n = r.size();
    inc.resize(n); dec.resize(n);
    for(int i=0; i<n; i++) {inc[i] = dec[i] = i;}
    int s,incVal,decVal;
    for(s=2*n-1; s>=0; s--) {
        if (r[s%n]==0) incVal = s;
        else decVal = s;
        inc[s%n] = incVal; dec[s%n] = decVal;
    }
    return;
}
void init(int k, std::vector<int> r) {
    int n = r.size(); 
    m=n; l=k;

    // for(int elem: x)
    //     if (elem !=0) {subtask==-1; break;}
    init6(k,r); return;
	if(k==2) init1(k, r);
    else if(n<=5000 and 2*k>n) init2(k, r);
    else if(2*k>n) init3(k,r);
    else if (n<=300 and q2 <= n*(n-1)/2) init5(k,r);
    else if (subtask==6) init6(k,r);
    else init4(k,r);
	return;
}


int compare_plants6(int x, int y) {
    if (reach[y]) return 1;
    else if (reach2[y]) return -1;
    else return 0;
}
int compare_plants5(int x, int y) {
    if (g[x][y]) return 1;
    else if (g[y][x]) return -1;
    else return 0;
}
int compare_plants2(int x, int y) {
    if (rank[x]>rank[y]) return 1;
    else return -1;
}
int compare_plants1(int x, int y) {
    if (y <= dec[x] or x+m <= inc[y]) return 1;
    else if (y <= inc[x] or x+m <= dec[y]) return -1;
	return 0;
}
int compare_plants(int x, int y) {
    return compare_plants7(x,y);
  	if(l==2) return compare_plants1(x,y);
    else if(m<=5000 and 2*l>m) return compare_plants2(x,y);
    else if(2*l>m) return compare_plants2(x,y);
    if (m<=300 and q2 <= m*(m-1)/2) return compare_plants5(x,y);
    else if (subtask==6)  return compare_plants6(x,y);
    else return compare_plants2(x,y);
	return 0;
}

Compilation message

plants.cpp: In function 'bool inRangeLeft(int, int, int)':
plants.cpp:94:56: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   94 | bool inRangeLeft(int z, int y, int left) {return y < z && (z < left || left <= y) || z < y && (z < left && left <= y);}
      |                                                  ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp: In function 'int compare(int, int)':
plants.cpp:117:18: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  117 |         if(z < y && (right < z || y <= right) || y < z && (y <= right && right < z)) break;
      |            ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:123:37: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  123 |             if(right!=-1 && !(z < y && (right < z || y <= right) || y < z && (y <= right && right < z)))
      |                               ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:127:32: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  127 |         if(right!=-1 && (z < y && (right < z || y <= right) || y < z && (y <= right && right < z))) {
      |                          ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp: In function 'void transClosure(int, int)':
plants.cpp:202:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  202 |     for (int i=0; i<n; i++)
      |     ^~~
plants.cpp:205:9: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  205 |         for(int x=0; x<n; x++)
      |         ^~~
plants.cpp:208:46: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  208 |                 g[i][j] = g[i][j] or g[i][x] and g[x][j];
plants.cpp: At global scope:
plants.cpp:18:29: warning: 'rounds' defined but not used [-Wunused-variable]
   18 | static int l,m,q2,subtask=6,rounds;
      |                             ^~~~~~
plants.cpp: In function 'void init1(int, std::vector<int>&)':
plants.cpp:285:37: warning: 'decVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  285 |         inc[s%n] = incVal; dec[s%n] = decVal;
plants.cpp:285:18: warning: 'incVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  285 |         inc[s%n] = incVal; dec[s%n] = decVal;

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 30 ms 3104 KB Output is correct
7 Correct 123 ms 25804 KB Output is correct
8 Correct 496 ms 266096 KB Output is correct
9 Correct 590 ms 266436 KB Output is correct
10 Correct 678 ms 266552 KB Output is correct
11 Correct 758 ms 266544 KB Output is correct
12 Correct 811 ms 266436 KB Output is correct
13 Correct 937 ms 266432 KB Output is correct
14 Correct 1051 ms 266544 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 3 ms 1372 KB Output is correct
7 Correct 71 ms 8492 KB Output is correct
8 Correct 2 ms 344 KB Output is correct
9 Correct 3 ms 1372 KB Output is correct
10 Correct 67 ms 8264 KB Output is correct
11 Correct 72 ms 8272 KB Output is correct
12 Correct 114 ms 8528 KB Output is correct
13 Correct 64 ms 8280 KB Output is correct

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 3 ms 1372 KB Output is correct
7 Correct 71 ms 8492 KB Output is correct
8 Correct 2 ms 344 KB Output is correct
9 Correct 3 ms 1372 KB Output is correct
10 Correct 67 ms 8264 KB Output is correct
11 Correct 72 ms 8272 KB Output is correct
12 Correct 114 ms 8528 KB Output is correct
13 Correct 64 ms 8280 KB Output is correct
14 Correct 134 ms 25808 KB Output is correct
15 Correct 951 ms 266552 KB Output is correct
16 Incorrect 128 ms 25808 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 80 ms 4924 KB Output is correct
4 Correct 1138 ms 267972 KB Output is correct
5 Incorrect 1028 ms 266688 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #5
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 2 ms 344 KB Output is correct
7 Correct 10 ms 1116 KB Output is correct
8 Incorrect 9 ms 1116 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 3 ms 1272 KB Output is correct
6 Correct 733 ms 266436 KB Output is correct
7 Correct 890 ms 266924 KB Output is correct
8 Correct 809 ms 266432 KB Output is correct
9 Correct 970 ms 266548 KB Output is correct
10 Correct 700 ms 266596 KB Output is correct
11 Correct 748 ms 266564 KB Output is correct
12 Correct 768 ms 268520 KB Output is correct
13 Correct 840 ms 266980 KB Output is correct
14 Incorrect 852 ms 266548 KB Output isn't correct
15 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 30 ms 3104 KB Output is correct
7 Correct 123 ms 25804 KB Output is correct
8 Correct 496 ms 266096 KB Output is correct
9 Correct 590 ms 266436 KB Output is correct
10 Correct 678 ms 266552 KB Output is correct
11 Correct 758 ms 266544 KB Output is correct
12 Correct 811 ms 266436 KB Output is correct
13 Correct 937 ms 266432 KB Output is correct
14 Correct 1051 ms 266544 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 3 ms 1372 KB Output is correct
21 Correct 71 ms 8492 KB Output is correct
22 Correct 2 ms 344 KB Output is correct
23 Correct 3 ms 1372 KB Output is correct
24 Correct 67 ms 8264 KB Output is correct
25 Correct 72 ms 8272 KB Output is correct
26 Correct 114 ms 8528 KB Output is correct
27 Correct 64 ms 8280 KB Output is correct
28 Correct 134 ms 25808 KB Output is correct
29 Correct 951 ms 266552 KB Output is correct
30 Incorrect 128 ms 25808 KB Output isn't correct
31 Halted 0 ms 0 KB -