Submission #884085

# Submission time Handle Problem Language Result Execution time Memory
884085 2023-12-06T15:45:17 Z vjudge1 Cats or Dogs (JOI18_catdog) C++17
38 / 100
3000 ms 15936 KB
#include "catdog.h"
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")

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:89:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   89 |             int mid = cl + cr >> 1;
      |                       ~~~^~~~
catdog.cpp: In function 'Tree::Mat Tree::aint::query(int, int, int, int, int)':
catdog.cpp:99:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   99 |             int mid = cl + cr >> 1;
      |                       ~~~^~~~
catdog.cpp: In function 'void initialize(int, std::vector<int>, std::vector<int>)':
catdog.cpp:176:16: warning: statement has no effect [-Wunused-value]
  176 |     Tree::pch[0];
      |     ~~~~~~~~~~~^
# Verdict Execution time Memory Grader output
1 Correct 3 ms 6744 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 1 ms 6748 KB Output is correct
4 Correct 2 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 2 ms 6748 KB Output is correct
9 Correct 2 ms 6748 KB Output is correct
10 Correct 2 ms 6744 KB Output is correct
11 Correct 2 ms 6748 KB Output is correct
12 Correct 1 ms 6748 KB Output is correct
13 Correct 2 ms 6748 KB Output is correct
14 Correct 2 ms 6912 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 1 ms 6748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 6744 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 1 ms 6748 KB Output is correct
4 Correct 2 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 2 ms 6748 KB Output is correct
9 Correct 2 ms 6748 KB Output is correct
10 Correct 2 ms 6744 KB Output is correct
11 Correct 2 ms 6748 KB Output is correct
12 Correct 1 ms 6748 KB Output is correct
13 Correct 2 ms 6748 KB Output is correct
14 Correct 2 ms 6912 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 1 ms 6748 KB Output is correct
17 Correct 3 ms 6748 KB Output is correct
18 Correct 4 ms 6748 KB Output is correct
19 Correct 3 ms 6748 KB Output is correct
20 Correct 2 ms 6748 KB Output is correct
21 Correct 2 ms 6748 KB Output is correct
22 Correct 2 ms 6744 KB Output is correct
23 Correct 4 ms 6748 KB Output is correct
24 Correct 4 ms 6748 KB Output is correct
25 Correct 3 ms 6748 KB Output is correct
26 Correct 2 ms 6748 KB Output is correct
27 Correct 4 ms 6748 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 6748 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 3 ms 6744 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 1 ms 6748 KB Output is correct
4 Correct 2 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 2 ms 6748 KB Output is correct
9 Correct 2 ms 6748 KB Output is correct
10 Correct 2 ms 6744 KB Output is correct
11 Correct 2 ms 6748 KB Output is correct
12 Correct 1 ms 6748 KB Output is correct
13 Correct 2 ms 6748 KB Output is correct
14 Correct 2 ms 6912 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 1 ms 6748 KB Output is correct
17 Correct 3 ms 6748 KB Output is correct
18 Correct 4 ms 6748 KB Output is correct
19 Correct 3 ms 6748 KB Output is correct
20 Correct 2 ms 6748 KB Output is correct
21 Correct 2 ms 6748 KB Output is correct
22 Correct 2 ms 6744 KB Output is correct
23 Correct 4 ms 6748 KB Output is correct
24 Correct 4 ms 6748 KB Output is correct
25 Correct 3 ms 6748 KB Output is correct
26 Correct 2 ms 6748 KB Output is correct
27 Correct 4 ms 6748 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 6748 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
33 Correct 1256 ms 11772 KB Output is correct
34 Correct 301 ms 12116 KB Output is correct
35 Correct 757 ms 10636 KB Output is correct
36 Correct 2150 ms 15028 KB Output is correct
37 Correct 14 ms 9308 KB Output is correct
38 Correct 2476 ms 15872 KB Output is correct
39 Correct 2369 ms 15876 KB Output is correct
40 Correct 2569 ms 15900 KB Output is correct
41 Correct 2720 ms 15936 KB Output is correct
42 Correct 1892 ms 15888 KB Output is correct
43 Correct 1787 ms 15880 KB Output is correct
44 Correct 1760 ms 15888 KB Output is correct
45 Correct 2061 ms 15884 KB Output is correct
46 Correct 1947 ms 15876 KB Output is correct
47 Correct 2295 ms 15880 KB Output is correct
48 Correct 106 ms 13468 KB Output is correct
49 Correct 89 ms 14844 KB Output is correct
50 Correct 35 ms 8728 KB Output is correct
51 Correct 38 ms 10056 KB Output is correct
52 Correct 16 ms 8608 KB Output is correct
53 Correct 1125 ms 14996 KB Output is correct
54 Correct 603 ms 10508 KB Output is correct
55 Correct 1661 ms 13224 KB Output is correct
56 Correct 1099 ms 11220 KB Output is correct
57 Correct 1234 ms 14320 KB Output is correct
58 Correct 26 ms 10304 KB Output is correct
59 Correct 52 ms 9940 KB Output is correct
60 Correct 87 ms 14164 KB Output is correct
61 Correct 93 ms 14308 KB Output is correct
62 Correct 56 ms 12764 KB Output is correct
63 Execution timed out 3078 ms 13736 KB Time limit exceeded
64 Halted 0 ms 0 KB -