Submission #884089

#	Time	Username	Problem	Language	Result	Execution time	Memory
884089		vjudge1	Cats or Dogs (JOI18_catdog)	C++17	38 / 100	3012 ms	15880 KiB

catdog

#include "catdog.h"
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,sse3,sse4")

using namespace std;

const int nmax = 1e5 + 5;
const int inf = 1e6 + 5;

namespace Tree {
    vector<int> g[nmax];

    int area[nmax];
    int pch[nmax], lastpoz[nmax], p[nmax];
    int pin[nmax], pout[nmax], inp = 1;

    int nodepoz(int node) { return pin[node];}

    namespace Init {
        void preinit(int node, int f) {
            p[node] = f;
            area[node] = 1;
            for(auto x : g[node]) {
                if(x == f) continue;
                preinit(x, node);
                area[node] += area[x];
            }
            return;
        }

        void init(int node, int f) {
            lastpoz[pch[node]] = inp;
            pin[node] = inp++;
            int mx = -1;
            for(auto x : g[node]) {
                if(x == f) continue;
                mx = mx == -1 || area[mx] < area[x]? x : mx;
            }
            if(mx == -1) {pout[node] = inp - 1; return; }
            pch[mx] = pch[node];
            init(mx, node);

            for(auto x : g[node]) {
               if(x == f || x == mx) continue;
               pch[x] = x;
               init(x, node);
            }
        }
    }

    struct Mat {
        int mat[2][2];
        Mat() { mat[0][0] = mat[1][1] = 0; mat[0][1] = mat[1][0] = inf; }
        Mat operator +(const Mat& x) const {
            if(mat[0][0] == 0 && mat[1][1] == 0 && mat[0][1] == inf && mat[1][0] == inf) return x;
            if(x.mat[0][0] == 0 && x.mat[1][1] == 0 && x.mat[0][1] == inf && x.mat[1][0] == inf) return *this;
//            if(x == ok) return *this;
            Mat rez;
            rez.mat[0][0] = rez.mat[1][1] = inf;

            for(int L = 0; L < 2; L++) {
                for(int M1 = 0; M1 < 2; M1++) {
                        for(int R = 0; R < 2; R++) {
                            rez.mat[L][R] = min(rez.mat[L][R], mat[L][M1] + min(x.mat[M1][R], x.mat[M1 ^ 1][R] + 1));
                        }
                    }
            }

            return rez;
        }
    };
                Mat ok;


    #define Node Mat
    namespace aint {
        vector<Node> aint;
        int n;
        void init(int _n) {
            n = _n;
            aint.resize(n * 2 + 2);

        }

        void push(int node, int L) {;}
        void upd(int p, Node x, int node, int cl, int cr) {
            if(p < cl || cr < p) return;
            if(cl == cr) { aint[node] = x; return; }
            int mid = cl + cr >> 1;
            push(node, (mid - cl + 1) * 2);
            upd(p, x, node + 1, cl, mid);
            upd(p, x, node + (mid - cl + 1) * 2, mid + 1, cr);
            aint[node] = aint[node + 1] + aint[node + (mid - cl + 1) * 2];
    //        cerr << cl << ' ' << cr << " :: \t" << aint[node].mat[0][0] << ' ' << aint[node].mat[1][1] << '\n'
        }
        Node query(int l, int r, int node, int cl, int cr) {
            if(r < cl || cr < l) return Node();
            if(l <= cl && cr <= r) return aint[node];
            int mid = cl + cr >> 1;
            push(node, (mid - cl + 1) * 2);
            return query(l, r, node + 1, cl, mid) + query(l, r, node + (mid - cl + 1) * 2, mid + 1, cr);
        }

        void upd(int p, Node x) { upd(p, x, 1, 1, n); }
        Node query(int l, int r) { return query(l, r, 1, 1, n); }


    };
    #undef Node



    struct SimpleDir {
        int red, blue;
        SimpleDir(int a = 0, int b = 0): red(a), blue(b) {;}
        SimpleDir operator +=(const SimpleDir& x) { return *this = SimpleDir(red + min(x.red, x.blue + 1), blue + min(x.blue, x.red + 1)); }
        SimpleDir operator -=(const SimpleDir& x) { return *this = SimpleDir(red - min(x.red, x.blue + 1), blue - min(x.blue, x.red + 1)); }
    };

    SimpleDir overson[nmax], mine[nmax];

    int color[nmax];

    Mat red(int node) {
        Mat curr;
        curr.mat[0][0] = overson[node].red;
        curr.mat[1][1] = inf;
        return curr;
    }

    Mat blue(int node) {
        Mat curr;
        curr.mat[1][1] = overson[node].blue;
        curr.mat[0][0] = inf;
        return curr;
    }

    Mat gol(int node) {
        Mat curr;
        curr.mat[0][0] = overson[node].red;
        curr.mat[1][1] = overson[node].blue;
        return curr;
    }


    void init(int n) {
        aint::init(n);
//        init(0, 0);
    }

    int upd(int node) {
        int father = pch[node];
        aint::upd(nodepoz(node), color[node] == 0? gol(node) : color[node] == 1? red(node) : blue(node));

        if(father == 0) { auto R = aint::query(pin[father], lastpoz[father]); return min({R.mat[0][0],R.mat[0][1],R.mat[1][0],R.mat[1][1]});}

        overson[p[father]] -= mine[father];
        auto R = aint::query(pin[father], lastpoz[father]);
        mine[father] = SimpleDir(min(R.mat[0][0], R.mat[0][1]), min(R.mat[1][0], R.mat[1][1]));
        if(color[father] == 1) mine[father].blue = inf;
        if(color[father] == 2) mine[father].red = inf;

        overson[p[father]] += mine[father];

        return upd(p[node]);
    }
}

void initialize(int n, std::vector<int> A, std::vector<int> B) {
    for(int i = 0; i < n - 1; i++) {
        Tree::g[--A[i]].emplace_back(--B[i]);
        Tree::g[B[i]].emplace_back(A[i]);
    }

    Tree::Init::preinit(0, 0);
    Tree::pch[0];
    Tree::Init::init(0, 0);

    Tree::init(n);

    return;
}

int cat(int v) {
    Tree::color[--v] = 1;
  return Tree::upd(v);
}

int dog(int v) {
    Tree::color[--v] = 2;
  return Tree::upd(v);
}

int neighbor(int v) {
    Tree::color[--v] = 0;
  return Tree::upd(v);
}

Compilation message (stderr)

catdog.cpp: In function 'void Tree::aint::upd(int, Tree::Mat, int, int, int)':
catdog.cpp:90:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   90 |             int mid = cl + cr >> 1;
      |                       ~~~^~~~
catdog.cpp: In function 'Tree::Mat Tree::aint::query(int, int, int, int, int)':
catdog.cpp:100:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  100 |             int mid = cl + cr >> 1;
      |                       ~~~^~~~
catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:177:16: warning: statement has no effect [-Wunused-value]
  177 |     Tree::pch[0];
      |     ~~~~~~~~~~~^

• Subtask 1: 8 / 8
• Subtask 2: 30 / 30
• Subtask 3: 0 / 62