oj.uz

Submission #1044623

# Submission time Handle Problem Language Result Execution time Memory
1044623 2024-08-05T11:47:23 Z nightfal Comparing Plants (IOI20_plants) C++17
19 / 100
 1114 ms 270544 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;
}
int compare(int x, int y) {
    int left, i=0, z=x;
    while(true) {
        left = power[i][z][0];
        if(left==-1) break;
        if(y < z && (z < left || left <= y) || z < y && (z < left && left <= y)) break;
        i++;
    }
    if (true or left!=-1) {
        for(int j=i-1; j>=0; j--) {
            left = power[j][z][0];
            if (left!=-1 && !(y < z && (z < left || left <= y) || z < y && (z < left && left <= y)))
                z = left; 
        }
        left = power[0][z][0];
        if (left!=-1 && (y < z && (z < left || left <= y) || z < y && (z < left && left <= y))) {
        if (-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 'int compare(int, int)':
plants.cpp:98:18: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   98 |         if(y < z && (z < left || left <= y) || z < y && (z < left && left <= y)) break;
      |            ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:104:37: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  104 |             if (left!=-1 && !(y < z && (z < left || left <= y) || z < y && (z < left && left <= y)))
      |                               ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:108:32: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  108 |         if (left!=-1 && (y < z && (z < left || left <= y) || z < y && (z < left && left <= y))) {
      |                          ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:118:18: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  118 |         if(z < y && (right < z || y <= right) || y < z && (y <= right && right < z)) break;
      |            ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:124:37: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  124 |             if(right!=-1 && !(z < y && (right < z || y <= right) || y < z && (y <= right && right < z)))
      |                               ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
plants.cpp:128:32: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  128 |         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:203:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  203 |     for (int i=0; i<n; i++)
      |     ^~~
plants.cpp:206:9: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  206 |         for(int x=0; x<n; x++)
      |         ^~~
plants.cpp:209:46: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  209 |                 g[i][j] = g[i][j] or g[i][x] and g[x][j];
plants.cpp: At global scope:
plants.cpp:17:29: warning: 'rounds' defined but not used [-Wunused-variable]
   17 | static int l,m,q2,subtask=6,rounds;
      |                             ^~~~~~
plants.cpp: In function 'void init1(int, std::vector<int>&)':
plants.cpp:286:37: warning: 'decVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  286 |         inc[s%n] = incVal; dec[s%n] = decVal;
plants.cpp:286:18: warning: 'incVal' may be used uninitialized in this function [-Wmaybe-uninitialized]
  286 |         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 344 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 432 KB Output is correct
6 Correct 30 ms 3960 KB Output is correct
7 Correct 121 ms 27596 KB Output is correct
8 Correct 503 ms 268228 KB Output is correct
9 Correct 588 ms 269452 KB Output is correct
10 Correct 658 ms 269480 KB Output is correct
11 Correct 766 ms 269448 KB Output is correct
12 Correct 838 ms 269344 KB Output is correct
13 Correct 871 ms 269500 KB Output is correct
14 Correct 1048 ms 268160 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 452 KB Output is correct
6 Correct 3 ms 1372 KB Output is correct
7 Correct 68 ms 8264 KB Output is correct
8 Correct 2 ms 344 KB Output is correct
9 Correct 3 ms 1372 KB Output is correct
10 Correct 69 ms 8272 KB Output is correct
11 Correct 78 ms 8532 KB Output is correct
12 Correct 112 ms 8528 KB Output is correct
13 Correct 65 ms 8276 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 452 KB Output is correct
6 Correct 3 ms 1372 KB Output is correct
7 Correct 68 ms 8264 KB Output is correct
8 Correct 2 ms 344 KB Output is correct
9 Correct 3 ms 1372 KB Output is correct
10 Correct 69 ms 8272 KB Output is correct
11 Correct 78 ms 8532 KB Output is correct
12 Correct 112 ms 8528 KB Output is correct
13 Correct 65 ms 8276 KB Output is correct
14 Correct 141 ms 25836 KB Output is correct
15 Correct 956 ms 266692 KB Output is correct
16 Incorrect 132 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 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 76 ms 4948 KB Output is correct
4 Correct 1114 ms 268200 KB Output is correct
5 Incorrect 1061 ms 266588 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 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 1 ms 348 KB Output is correct
6 Correct 1 ms 600 KB Output is correct
7 Correct 10 ms 1628 KB Output is correct
8 Incorrect 11 ms 1540 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 348 KB Output is correct
5 Correct 3 ms 1116 KB Output is correct
6 Correct 768 ms 268764 KB Output is correct
7 Correct 845 ms 268996 KB Output is correct
8 Correct 814 ms 269152 KB Output is correct
9 Correct 952 ms 269252 KB Output is correct
10 Correct 683 ms 268992 KB Output is correct
11 Correct 772 ms 269248 KB Output is correct
12 Correct 788 ms 270544 KB Output is correct
13 Correct 818 ms 268972 KB Output is correct
14 Incorrect 833 ms 268996 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 344 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 432 KB Output is correct
6 Correct 30 ms 3960 KB Output is correct
7 Correct 121 ms 27596 KB Output is correct
8 Correct 503 ms 268228 KB Output is correct
9 Correct 588 ms 269452 KB Output is correct
10 Correct 658 ms 269480 KB Output is correct
11 Correct 766 ms 269448 KB Output is correct
12 Correct 838 ms 269344 KB Output is correct
13 Correct 871 ms 269500 KB Output is correct
14 Correct 1048 ms 268160 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 452 KB Output is correct
20 Correct 3 ms 1372 KB Output is correct
21 Correct 68 ms 8264 KB Output is correct
22 Correct 2 ms 344 KB Output is correct
23 Correct 3 ms 1372 KB Output is correct
24 Correct 69 ms 8272 KB Output is correct
25 Correct 78 ms 8532 KB Output is correct
26 Correct 112 ms 8528 KB Output is correct
27 Correct 65 ms 8276 KB Output is correct
28 Correct 141 ms 25836 KB Output is correct
29 Correct 956 ms 266692 KB Output is correct
30 Incorrect 132 ms 25808 KB Output isn't correct
31 Halted 0 ms 0 KB -