Submission #1043732

#	Time	Username	Problem	Language	Result	Execution time	Memory
1043732		nightfal	Comparing Plants (IOI20_plants)	C++17	15 / 100	686 ms	55236 KiB

plants

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

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(int node, int start, int end, std::vector<int> &r, std::vector<std::pair<int,int>> &t) {
    if (start==end) {t[node]={r[start],start}; return;}
    int mid=(start+end)/2;
    segInit(2*node,start,mid,r,t);
    segInit(2*node+1,mid+1,end,r,t);
    t[node] = std::min(t[2*node],t[2*node+1]);
    return;
}
int findPreMinI(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(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--;
    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;
}
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(1,0,m-1,rank,tr);
    // std::cout << "rank: "; print(rank);
    // std::cout << "rankInv: "; print(rankInv);
    // std::cout << "tr: "; print(tr);
    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);}
        // std::cout << "i=" << i << ", temp1.second:" << temp1.second << std::endl;

        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);}
        // std::cout << "i=" << i << ", temp1.second:" << temp1.second << std::endl;
        update(tr,lzr,1,0,m-1,i,i,m);
        // std::cout << "tr: "; print(tr); std::cout << std::endl;
    }

    // print(gt);
    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(1,0,n-1,r,t);
    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(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(1,0,n-1,r,t);
    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(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(1,0,n-1,r,t);
    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(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(1,0,n-1,r,t);
    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;

    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 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_plants6(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 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:140:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  140 |     for (int i=0; i<n; i++)
      |     ^~~
plants.cpp:143:9: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  143 |         for(int x=0; x<n; x++)
      |         ^~~
plants.cpp:146:46: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  146 |                 g[i][j] = g[i][j] or g[i][x] and g[x][j];
plants.cpp: At global scope:
plants.cpp:17:19: warning: 'subtask' defined but not used [-Wunused-variable]
   17 | static int l,m,q2,subtask;
      |                   ^~~~~~~
plants.cpp: In function 'void init1(int, std::vector<int>&)':
plants.cpp:223:37: warning: 'decVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  223 |         inc[s%n] = incVal; dec[s%n] = decVal;
plants.cpp:223:18: warning: 'incVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  223 |         inc[s%n] = incVal; dec[s%n] = decVal;

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