Submission #884089

# Submission time Handle Problem Language Result Execution time Memory
884089 2023-12-06T15:46:52 Z vjudge1 Cats or Dogs (JOI18_catdog) C++17
38 / 100
3000 ms 15880 KB
#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

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];
      |     ~~~~~~~~~~~^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 1 ms 6748 KB Output is correct
3 Correct 1 ms 6748 KB Output is correct
4 Correct 1 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 1 ms 6748 KB Output is correct
7 Correct 2 ms 6748 KB Output is correct
8 Correct 1 ms 6748 KB Output is correct
9 Correct 1 ms 6748 KB Output is correct
10 Correct 2 ms 6748 KB Output is correct
11 Correct 2 ms 6744 KB Output is correct
12 Correct 1 ms 6744 KB Output is correct
13 Correct 1 ms 6748 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 1 ms 6748 KB Output is correct
3 Correct 1 ms 6748 KB Output is correct
4 Correct 1 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 1 ms 6748 KB Output is correct
7 Correct 2 ms 6748 KB Output is correct
8 Correct 1 ms 6748 KB Output is correct
9 Correct 1 ms 6748 KB Output is correct
10 Correct 2 ms 6748 KB Output is correct
11 Correct 2 ms 6744 KB Output is correct
12 Correct 1 ms 6744 KB Output is correct
13 Correct 1 ms 6748 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
17 Correct 3 ms 6748 KB Output is correct
18 Correct 4 ms 7004 KB Output is correct
19 Correct 3 ms 6748 KB Output is correct
20 Correct 2 ms 6744 KB Output is correct
21 Correct 3 ms 6748 KB Output is correct
22 Correct 3 ms 6748 KB Output is correct
23 Correct 4 ms 6748 KB Output is correct
24 Correct 4 ms 6744 KB Output is correct
25 Correct 3 ms 6748 KB Output is correct
26 Correct 2 ms 6908 KB Output is correct
27 Correct 3 ms 6744 KB Output is correct
28 Correct 3 ms 7004 KB Output is correct
29 Correct 3 ms 7004 KB Output is correct
30 Correct 2 ms 6744 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB Output is correct
2 Correct 1 ms 6748 KB Output is correct
3 Correct 1 ms 6748 KB Output is correct
4 Correct 1 ms 6748 KB Output is correct
5 Correct 1 ms 6748 KB Output is correct
6 Correct 1 ms 6748 KB Output is correct
7 Correct 2 ms 6748 KB Output is correct
8 Correct 1 ms 6748 KB Output is correct
9 Correct 1 ms 6748 KB Output is correct
10 Correct 2 ms 6748 KB Output is correct
11 Correct 2 ms 6744 KB Output is correct
12 Correct 1 ms 6744 KB Output is correct
13 Correct 1 ms 6748 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
17 Correct 3 ms 6748 KB Output is correct
18 Correct 4 ms 7004 KB Output is correct
19 Correct 3 ms 6748 KB Output is correct
20 Correct 2 ms 6744 KB Output is correct
21 Correct 3 ms 6748 KB Output is correct
22 Correct 3 ms 6748 KB Output is correct
23 Correct 4 ms 6748 KB Output is correct
24 Correct 4 ms 6744 KB Output is correct
25 Correct 3 ms 6748 KB Output is correct
26 Correct 2 ms 6908 KB Output is correct
27 Correct 3 ms 6744 KB Output is correct
28 Correct 3 ms 7004 KB Output is correct
29 Correct 3 ms 7004 KB Output is correct
30 Correct 2 ms 6744 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
33 Correct 1345 ms 11772 KB Output is correct
34 Correct 320 ms 12124 KB Output is correct
35 Correct 809 ms 10628 KB Output is correct
36 Correct 2342 ms 15064 KB Output is correct
37 Correct 14 ms 9304 KB Output is correct
38 Correct 2659 ms 15868 KB Output is correct
39 Correct 2596 ms 15876 KB Output is correct
40 Correct 2784 ms 15876 KB Output is correct
41 Execution timed out 3012 ms 15880 KB Time limit exceeded
42 Halted 0 ms 0 KB -