Submission #884090

# Submission time Handle Problem Language Result Execution time Memory
884090 2023-12-06T15:47:38 Z vjudge1 Cats or Dogs (JOI18_catdog) C++17
38 / 100
3000 ms 15968 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) {;}
        void operator +=(const SimpleDir& x) {  *this = SimpleDir(red + min(x.red, x.blue + 1), blue + min(x.blue, x.red + 1)); }
        void operator -=(const SimpleDir& x) {  *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 2 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 2 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 2 ms 6748 KB Output is correct
7 Correct 1 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 6748 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 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 2 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 2 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 2 ms 6748 KB Output is correct
7 Correct 1 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 6748 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 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 5 ms 7004 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 3 ms 6748 KB Output is correct
23 Correct 4 ms 6744 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 3 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 7000 KB Output is correct
31 Correct 2 ms 6744 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 6748 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 2 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 2 ms 6748 KB Output is correct
7 Correct 1 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 6748 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 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 5 ms 7004 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 3 ms 6748 KB Output is correct
23 Correct 4 ms 6744 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 3 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 7000 KB Output is correct
31 Correct 2 ms 6744 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
33 Correct 1376 ms 11776 KB Output is correct
34 Correct 319 ms 12124 KB Output is correct
35 Correct 822 ms 10632 KB Output is correct
36 Correct 2315 ms 15068 KB Output is correct
37 Correct 14 ms 9304 KB Output is correct
38 Correct 2691 ms 15876 KB Output is correct
39 Correct 2606 ms 15968 KB Output is correct
40 Correct 2791 ms 15880 KB Output is correct
41 Correct 2998 ms 15888 KB Output is correct
42 Correct 2055 ms 15888 KB Output is correct
43 Correct 1850 ms 15944 KB Output is correct
44 Correct 1579 ms 15884 KB Output is correct
45 Correct 2080 ms 15888 KB Output is correct
46 Correct 2088 ms 15884 KB Output is correct
47 Correct 2385 ms 15876 KB Output is correct
48 Correct 87 ms 13432 KB Output is correct
49 Correct 95 ms 14932 KB Output is correct
50 Correct 36 ms 8784 KB Output is correct
51 Correct 38 ms 10172 KB Output is correct
52 Correct 17 ms 8540 KB Output is correct
53 Correct 979 ms 14932 KB Output is correct
54 Correct 642 ms 10504 KB Output is correct
55 Correct 1669 ms 13232 KB Output is correct
56 Correct 1178 ms 11228 KB Output is correct
57 Correct 1224 ms 14480 KB Output is correct
58 Correct 16 ms 10200 KB Output is correct
59 Correct 37 ms 9948 KB Output is correct
60 Correct 83 ms 14072 KB Output is correct
61 Correct 92 ms 14320 KB Output is correct
62 Correct 59 ms 12756 KB Output is correct
63 Execution timed out 3031 ms 13656 KB Time limit exceeded
64 Halted 0 ms 0 KB -