Submission #106662

# Submission time Handle Problem Language Result Execution time Memory
106662 2019-04-19T12:52:01 Z polyfish Land of the Rainbow Gold (APIO17_rainbow) C++14
50 / 100
1006 ms 1049600 KB
#include "rainbow.h"
#include <bits/stdc++.h>
using namespace std;

#define debug(x) cerr << #x << " = " << x << '\n';
#define BP() cerr << "OK!\n";
#define PR(A, n) {cerr << #A << " = "; for (int _=1; _<=n; ++_) cerr << A[_] << ' '; cerr << '\n';}
#define PR0(A, n) {cerr << #A << " = "; for (int _=0; _<n; ++_) cerr << A[_] << ' '; cerr << '\n';}
#define FILE_NAME "data"

const int X[] = {1, 0, -1, 0};
const int Y[] = {0, 1, 0, -1};
const int INF = 1e9;

struct fenwick_tree_2D {

    int m, n;
    vector<vector<int> > bit;

    void init(int _m, int _n) {
        m = _m;
        n = _n;
        bit.resize(m+1);
        for (int i=0; i<=m; ++i)
            bit[i].resize(n+1);
    }

    void add(int x, int y) {
        if (!bit[x][y])
            ++bit[x][y];
    }

    void process() {
        for (int i=1; i<=m; ++i) {
            for (int j=1; j<=n; ++j)
                bit[i][j] += bit[i-1][j] + bit[i][j-1] - bit[i-1][j-1];
        }
    }

    int get(int x1, int y1, int x2, int y2) {
        if (x1>x2 || y1>y2)
            return 0;
        return bit[x2][y2] - bit[x2][y1-1] - bit[x1-1][y2] + bit[x1-1][y1-1];
    }
};

int m, n, min_x, max_x, min_y, max_y;
vector<pair<int, int> > snake;
bool visited[52][52];
fenwick_tree_2D T1, T2, R, C;

void add(pair<int, int> p) {
    T1.add(p.first, p.second);

    for (int i=0; i<4; ++i) {
        T2.add(p.first, p.second);
        p.first += X[i];
        p.second += Y[i];
    }

    C.add(p.first, p.second);
    C.add(p.first, p.second+1);
    R.add(p.first, p.second);
    R.add(p.first+1, p.second);
}

void init(int _R, int _C, int sr, int sc, int M, char *S) {
    m = _R;
    n = _C;
    max_x = max_y = -INF;
    min_x = min_y = INF;

    snake.resize(M+1);
    snake[0] = {sr, sc};
    for (int i=1; i<=M; ++i) {
        snake[i] = snake[i-1];
        if (S[i-1]=='N')
            --snake[i].first;
        else if (S[i-1]=='S')
            ++snake[i].first;
        else if (S[i-1]=='W')
            --snake[i].second;
        else
            ++snake[i].second;
    }

    sort(snake.begin(), snake.end());
    snake.resize(unique(snake.begin(), snake.end()) - snake.begin());

    T1.init(m+1, n+1);
    T2.init(m+1, n+1);
    R.init(m+1, n+1);
    C.init(m+1, n+1);

    for (auto p : snake) {
        min_x = min(min_x, p.first);
        max_x = max(max_x, p.first);
        min_y = min(min_y, p.second);
        max_y = max(max_y, p.second);

        add(p);
    }

    T1.process();
    T2.process();
    R.process();
    C.process();
}

int subtask3(int x1, int y1, int x2, int y2) {
    set<pair<int, int> > v;
    set<pair<pair<int, int>, pair<int, int> > > e;

    int res = 0;

    for (int i=x1; i<=x2+1; ++i) {
        v.insert({i, y1});
        v.insert({i, y2+1});
        if (i<=x2) {
            pair<int, int> tmp1(i, y1), tmp2(i+1, y1);
            e.insert({min(tmp1, tmp2), max(tmp1, tmp2)});
            pair<int, int> tmp3(i, y2+1), tmp4(i+1, y2+1);
            e.insert({min(tmp3, tmp4), max(tmp3, tmp4)});
        }
    }

    for (int i=y1; i<=y2+1; ++i) {
        v.insert({x1, i});
        v.insert({x2+1, i});
        if (i<=y2) {
            pair<int, int> tmp1(x1, i), tmp2(x1, i+1);
            e.insert({min(tmp1, tmp2), max(tmp1, tmp2)});
            pair<int, int> tmp3(x2+1, i), tmp4(x2+1, i+1);
            e.insert({min(tmp3, tmp4), max(tmp3, tmp4)});
        }
    }

    for (auto p : snake) {
        if (x1<=p.first && p.first<=x2 && y1<=p.second && p.second<=y2) {
            --res;
            for (int i=0; i<4; ++i) {
                v.insert(p);
                pair<int, int> tmp = p;
                p.first += X[i];
                p.second += Y[i];
                e.insert({min(p, tmp), max(p, tmp)});
            }
        }
    }
//    debug(v.size());
//    debug(e.size());

    res += (int)e.size() - (int)v.size() + 1;

    if (x1<min_x && max_x<x2 && y1<min_y && max_y<y2)
        ++res;

    return res;
}

int colour(int x1, int y1, int x2, int y2) {
    if (1LL*m*n>1000000)
        return subtask3(x1, y1, x2, y2);

    int v = T2.get(x1+1, y1+1, x2, y2);
    int e = R.get(x1+1, y1, x2, y2) + C.get(x1, y1+1, x2, y2);
//    debug(R.get(x1+1, y1+1, x2, y2-1));

    int res = e - v + 1;
    if (x1<min_x && max_x<x2 && y1<min_y && max_y<y2)
        ++res;
    res -= T1.get(x1, y1, x2, y2);

    return res;
}

# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 256 KB Output is correct
17 Correct 3 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 125 ms 16760 KB Output is correct
4 Correct 104 ms 16808 KB Output is correct
5 Correct 144 ms 17008 KB Output is correct
6 Correct 111 ms 17016 KB Output is correct
7 Correct 111 ms 16808 KB Output is correct
8 Correct 136 ms 16760 KB Output is correct
9 Correct 113 ms 16800 KB Output is correct
10 Correct 111 ms 16896 KB Output is correct
11 Correct 150 ms 17016 KB Output is correct
12 Correct 84 ms 16996 KB Output is correct
13 Correct 99 ms 16912 KB Output is correct
14 Correct 104 ms 16864 KB Output is correct
15 Correct 84 ms 16800 KB Output is correct
16 Correct 108 ms 16632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Runtime error 1006 ms 1049600 KB Execution killed with signal 9 (could be triggered by violating memory limits)
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 256 KB Output is correct
17 Correct 3 ms 384 KB Output is correct
18 Correct 142 ms 18100 KB Output is correct
19 Correct 79 ms 3080 KB Output is correct
20 Correct 76 ms 1784 KB Output is correct
21 Correct 58 ms 2040 KB Output is correct
22 Correct 78 ms 3064 KB Output is correct
23 Correct 87 ms 3064 KB Output is correct
24 Correct 56 ms 1596 KB Output is correct
25 Correct 92 ms 2296 KB Output is correct
26 Correct 78 ms 3192 KB Output is correct
27 Correct 159 ms 18184 KB Output is correct
28 Correct 136 ms 18040 KB Output is correct
29 Correct 155 ms 18168 KB Output is correct
30 Correct 186 ms 18128 KB Output is correct
31 Correct 4 ms 428 KB Output is correct
32 Correct 143 ms 18168 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 256 KB Output is correct
17 Correct 3 ms 384 KB Output is correct
18 Correct 142 ms 18100 KB Output is correct
19 Correct 79 ms 3080 KB Output is correct
20 Correct 76 ms 1784 KB Output is correct
21 Correct 58 ms 2040 KB Output is correct
22 Correct 78 ms 3064 KB Output is correct
23 Correct 87 ms 3064 KB Output is correct
24 Correct 56 ms 1596 KB Output is correct
25 Correct 92 ms 2296 KB Output is correct
26 Correct 78 ms 3192 KB Output is correct
27 Correct 159 ms 18184 KB Output is correct
28 Correct 136 ms 18040 KB Output is correct
29 Correct 155 ms 18168 KB Output is correct
30 Correct 186 ms 18128 KB Output is correct
31 Correct 4 ms 428 KB Output is correct
32 Correct 143 ms 18168 KB Output is correct
33 Runtime error 1006 ms 1049600 KB Execution killed with signal 9 (could be triggered by violating memory limits)
34 Halted 0 ms 0 KB -