Submission #1043263

#	Time	Username	Problem	Language	Result	Execution time	Memory
1043263		nightfal	Comparing Plants (IOI20_plants)	C++17	60 / 100	436 ms	28264 KiB

plants

// #include "plants.h"
#include <iostream>
#include <cstdio>
#include <cassert>
#include <vector>
#include <utility>
#include <tuple>


// 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, path;
static int l,m,q2,subtask;
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;}

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

    int mid=(start+end)/2;
    auto [m1,mr1]  = update(2*node,start,mid,left,right,diff);
    auto [m2,mr2]  = update(2*node+1,mid+1,end,left,right,diff);
    auto ans1 = m1<m2? m1:m2;
    auto ans2 = mr1.first<mr2.first? mr1:mr2;
    t[node] = t[2*node]<t[2*node+1]? t[2*node]:t[2*node+1];    
    tr[node] = tr[2*node].first<tr[2*node+1].first? tr[2*node]:tr[2*node+1];    
    return {ans1,ans2};    
}
std::pair<int,int> findMinR(int node, int start, int end, int left, int right) {
    if (start!=end) {lzr[2*node] += lzr[node]; lzr[2*node+1] += lzr[node];}
    tr[node].first += lzr[node]; lzr[node]=0;
    if (right < start or end < left) return {maxVal,m+1};
    if (left <= start and end <= right) return tr[node];
    
    int mid=(start+end)/2;
    auto min1 = findMinR(2*node,start,mid,left,right);
    auto min2 = findMinR(2*node+1,mid+1,end,left,right);
    auto ans = min1.first<min2.first? min1:min2;
    tr[node] = tr[2*node].first<tr[2*node+1].first? tr[2*node]:tr[2*node+1];    
    return ans;
}
std::pair<int,int> findMin(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(2*node,start,mid,left,right);
    auto min2 = findMin(2*node+1,mid+1,end,left,right);
    auto ans = min1<min2? min1:min2;
    t[node] = t[2*node]<t[2*node+1]? t[2*node]:t[2*node+1];    
    return ans;
}
void segInitR(int node, int start, int end, std::vector<int> &r) {
    if (start==end) {tr[node]={r[start],start}; return;}
    int mid=(start+end)/2;
    segInitR(2*node,start,mid,r);
    segInitR(2*node+1,mid+1,end,r);
    tr[node] = tr[2*node].first<tr[2*node+1].first? tr[2*node]:tr[2*node+1];
    return;
}
void segInit(int node, int start, int end, std::vector<int> &r) {
    if (start==end) {t[node]={r[start],start}; return;}
    int mid=(start+end)/2;
    segInit(2*node,start,mid,r);
    segInit(2*node+1,mid+1,end,r);
    t[node] = t[2*node]<t[2*node+1]? t[2*node]:t[2*node+1];
    return;
}
int findPreMinI(int k,int minI1) {
    if (minI1>0) {
        auto[min2,minI2] = findMin(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(1,0,m-1,minI1-k+1+m,m-1);
        if (min2==0) minI1 = minI2;
    }
    return minI1;
}
int computeRank(int minI1, int k, int ranking) {

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

    while (minI2 != minI1) {
        ranking = computeRank(minI2,k,ranking); 
        minI2 = findPreMinI(k,minI1);
    }
    rank[minI1] = ranking--;
    if (subtask ==6) {
        std::pair<int,int> temp1, temp2;
        temp1 = temp2 = findMinR(1,0,m-1,std::max(0,minI1-k+1),minI1-1);
        if (minI1-k+1<0) temp2 = findMinR(1,0,m-1,minI1-k+1+m,m-1);
        if (temp1.first > temp2.first) temp1 = temp2;
        // else temp1 = std::min(temp1,temp2);
        if (rank[temp1.second]==m) {
            g[minI1][0] = temp1.second;
            gt[temp1.second].push_back(minI1);
        }

        temp1 = temp2 = findMinR(1,0,m-1,minI1+1,std::min(m-1,minI1+k-1));
        if (minI1+k-1>m-1) temp2 = findMinR(1,0,m-1,0,minI1+k-1-m);
        if (temp1.first >= temp2.first) temp1 = temp2;
        // temp1 = std::min(temp1,temp2);
        if (rank[temp1.second]==m) {
            g[minI1][1] = temp1.second;
            gt[temp1.second].push_back(minI1);
        }
        // std::cout << "minI1: " << minI1 << std::endl; print(g);
    }

    update(1,0,m-1,minI1,minI1,m-1);
    update(1,0,m-1,std::max(0,minI1-k+1),minI1-1,-1);
    if (minI1-k+1<0) update(1,0,m-1,minI1-k+1+m,m-1,-1);
    // if (ranking <= m) {
    // std::cout << "minI1: " << minI1 << std::endl;
    // std::cout << "g" << std:: endl; print(g); 
    // std::cout << "gt" << std:: endl; print(gt); 
    // std::cout << "t:  ";
    // for(int i=0; i<16; i++) std::cout << "(" << t[i].first << "," << t[i].second << ") "; std::cout << std::endl;
    // std::cout << "tr: "; 
    // for(int i=0; i<16; i++) std::cout << "(" << tr[i].first << "," << tr[i].second << ") "; std::cout << std::endl;
    // }
    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;
}
void init6(int k, std::vector<int> &r) {
    int n = r.size(); 
    subtask = 6;
    t.resize(4*n); lz.resize(4*n); 
    tr.resize(4*n); lzr.resize(4*n); 
    g.resize(n,std::vector<int>(2,-1));
    gt.resize(n);
    reach.resize(n); reach2.resize(n);

    segInit(1,0,n-1,r);
    segInitR(1,0,n-1,r);
    // std::cout << "t: "; print(t); std::cout << std::endl;
    // std::cout << "tr: "; print(tr); std::cout << std::endl;
    rank.resize(n,n);
    int ranking = n-1;
    while (ranking >=0) {
        auto [min1,minI1] = findMin(1,0,n-1,0,n-1);
        ranking = computeRank(minI1,k,ranking);
    }
    reachable(0,g,reach);
    reachable(0,gt,reach2);
    // std::cout << "g" << std:: endl; print(g); 
    // std::cout << "reach" << std:: endl; print(reach); 
    // std::cout << "gt" << std:: endl; print(gt); 
    // std::cout << "reach2" << std:: endl; print(reach2); 
    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;
    // print(g); std::cout << std::endl;
        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];
    // print(g); std::cout << std::endl;
    
    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));
    tr.resize(4*n); lzr.resize(4*n); 
    segInit(1,0,n-1,r);
    segInitR(1,0,n-1,r);
    rank.resize(n,n);
    int ranking = n-1;
    while (ranking >=0) {
        auto [min1,minI1] = findMin(1,0,n-1,0,n-1);
        ranking = computeRank(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);g.resize(0);
    tr.resize(4*n); lzr.resize(4*n);

    //  g.resize(0);
    segInit(1,0,n-1,r);
    rank.resize(n,n);
    int ranking = n-1;
    while (ranking >=0) {
        auto [min1,minI1] = findMin(1,0,n-1,0,n-1);
        ranking = computeRank(minI1,k,ranking);
    }
    return;
}
void init3(int k, std::vector<int> &r) {
    int n = r.size(); 
    t.resize(4*n); lz.resize(4*n);
    tr.resize(4*n); lzr.resize(4*n);
    segInit(1,0,n-1,r);
    rank.resize(n);
    for(int i=n-1; i>=0; i--) {
        auto [min1,minI1] = findMin(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(1,0,n-1,std::max(0,minI1-(n-k)),minI1-1);
        if (minI1-(n-k)<0) std::tie(min3,minI3) = findMin(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(1,0,n-1,minI1,minI1,n-1);
        update(1,0,n-1,std::max(0,minI1-k+1),minI1-1,-1);
        if (minI1-k+1<0) update(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;
    // std::cout << "here" << std::endl;
    // init6(k,r);
    // std::cout << "here2" << std::endl;

	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 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) {
  	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 return compare_plants6(x,y);
    else return compare_plants2(x,y);
	return 0;
}

Compilation message (stderr)

plants.cpp: In function 'void transClosure(int, int)':
plants.cpp:182:46: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  182 |                 g[i][j] = g[i][j] or g[i][x] and g[x][j];
plants.cpp: In function 'void init1(int, std::vector<int>&)':
plants.cpp:264:37: warning: 'decVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  264 |         inc[s%n] = incVal; dec[s%n] = decVal;
plants.cpp:264:18: warning: 'incVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  264 |         inc[s%n] = incVal; dec[s%n] = decVal;

• Subtask 1: 5 / 5
• Subtask 2: 14 / 14
• Subtask 3: 13 / 13
• Subtask 4: 17 / 17
• Subtask 5: 11 / 11
• Subtask 6: 0 / 15
• Subtask 7: 0 / 25