Submission #969364

# Submission time Handle Problem Language Result Execution time Memory
969364 2024-04-25T03:48:45 Z steveonalex Land of the Rainbow Gold (APIO17_rainbow) C++17
100 / 100
797 ms 214232 KB
#include <bits/stdc++.h>
#include "rainbow.h"

using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define ALL(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
 
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return ((ull) rng()) % (r - l + 1) + l;}
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return mask & (-mask);}
ll pop_cnt(ll mask){return __builtin_popcountll(mask);}
ll ctz(ll mask){return __builtin_ctzll(mask);}
ll clz(ll mask){return __builtin_clzll(mask);}
ll logOf(ll mask){return 63 - clz(mask);}
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b){a = b; return true;}
        return false;
    }
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b){a = b; return true;}
        return false;
    }
template <class T>
    void printArr(T& a, string separator = " ", string finish = "\n", ostream& out = cout){
        for(auto i: a) out << i << separator;
        out << finish;
    }
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct PST{
    struct Node{
        int child[2];
        int sum;
        Node(){memset(child, -1, sizeof child); sum = 0;}
    };

    int L, R;
    vector<Node> a;
    vector<int> version;

    void add_child(int &x){
        x = a.size();
        a.push_back(Node());
    }

    PST(int _l, int _r){
        L = _l, R = _r;
        a.push_back(Node());
        version.push_back(0);
        build_tree(L, R, 0);
    }

    void build_tree(int l, int r, int id){
        if (l == r) return;
        int mid = (l + r) >> 1;
        add_child(a[id].child[0]); add_child(a[id].child[1]);
        build_tree(l, mid, a[id].child[0]);
        build_tree(mid + 1, r, a[id].child[1]);
    }

    void update(int i, int v, int l, int r, int id, int prev_id){
        a[id] = a[prev_id];
        a[id].sum += v;
        if (l == r) return;
        int mid = (l + r) >> 1;
        if (i <= mid){
            add_child(a[id].child[0]);
            update(i, v, l, mid, a[id].child[0], a[prev_id].child[0]);
        }
        else{
            add_child(a[id].child[1]);
            update(i, v, mid + 1, r, a[id].child[1], a[prev_id].child[1]);
        }
    }

    void update(int i, int v){
        int prev = version.back();
        version.push_back(0);
        add_child(version.back());
        update(i, v, L, R, version.back(), prev);
    }

    int get(int u, int v, int l, int r, int id){
        if (u <= l && r <= v) return a[id].sum;
        int mid = (l + r) >> 1;
        int ans = 0;
        if (u <= mid) ans += get(u, v, l, mid, a[id].child[0]);
        if (v > mid) ans += get(u, v, mid + 1, r, a[id].child[1]);
        return ans;
    }

    int get(int l, int r, int ver){
        if (l > r) return 0;
        int id = version[ver];
        return get(l, r, L, R, id);
    }

    int get_version(){return version.size();}
};

const int INF = 1e9 + 69;
const int N = 2e5 + 69;

int dx[] = {-1, 1, 0, 0};
int dy[] = {0, 0, -1, 1};

#define Point pair<int, int>

vector<Point> dragon, verti_edge, hori_edge, vertices;
int xL, xR, yL, yR;
int cur_face;
PST dragon_cnt(1, N), vertices_cnt(1, N), verti_edge_cnt(1, N), hori_edge_cnt(1, N);
vector<int> dragon_row, vertices_row, verti_edge_row, hori_edge_row;

void init(int n, int m, int sr, int sc, int k, char *S) {
    Point coord = {sr, sc};
    dragon.push_back(coord);
    for(int i = 0; i<k; ++i){
        if (S[i] == 'N') coord.first--;
        else if (S[i] == 'S') coord.first++;
        else if (S[i] == 'W') coord.second--;
        else coord.second++;

        dragon.push_back(coord);
    }

    remove_dup(dragon);

    for(pair<int, int> i: dragon){
        for(int d = 0; d < 4; ++d){
            if (d <= 1) hori_edge.push_back({i.first - (d == 0), i.second});
            else verti_edge.push_back({i.first, i.second - (d == 2)});
        }
    }

    remove_dup(hori_edge); remove_dup(verti_edge);

    for(pair<int, int> i: hori_edge) {
        vertices.push_back({i.first, i.second-1});
        vertices.push_back({i.first, i.second});
    }
    for(pair<int, int> i: verti_edge){
        vertices.push_back({i.first-1, i.second});
        vertices.push_back({i.first, i.second});
    }

    remove_dup(vertices);


    /*---------------------------------------*/
    dragon_row.push_back(0);  
    vector<vector<int>> sigma(N);
    for(pair<int, int> i: dragon) sigma[i.first].push_back(i.second);
    for(int i = 1; i<N; ++i){
        for(int j: sigma[i]) dragon_cnt.update(j, 1);
        dragon_row.push_back(dragon_cnt.get_version() - 1);
    }

    /*---------------------------------------*/
    for(int i = 0; i<N; ++i) sigma[i].clear();
    vertices_row.push_back(0);
    for(pair<int, int> i: vertices)
        if (i.first > 0 && i.second > 0)
            sigma[i.first].push_back(i.second);
    for(int i = 1; i<N; ++i){
        for(int j: sigma[i]) vertices_cnt.update(j, 1);
        vertices_row.push_back(vertices_cnt.get_version() - 1);
    }
    /*---------------------------------------*/
    for(int i = 0; i<N; ++i) sigma[i].clear();
    hori_edge_row.push_back(0);
    for(pair<int, int> i: hori_edge)
        if (i.first > 0 && i.second > 0)
            sigma[i.first].push_back(i.second);
    for(int i = 1; i<N; ++i){
        for(int j: sigma[i]) hori_edge_cnt.update(j, 1);
        hori_edge_row.push_back(hori_edge_cnt.get_version() - 1);
    }
    /*---------------------------------------*/
    for(int i = 0; i<N; ++i) sigma[i].clear();
    verti_edge_row.push_back(0);
    for(pair<int, int> i: verti_edge)
        if (i.first > 0 && i.second > 0)
            sigma[i.first].push_back(i.second);
    for(int i = 1; i<N; ++i){
        for(int j: sigma[i]) verti_edge_cnt.update(j, 1);
        verti_edge_row.push_back(verti_edge_cnt.get_version() - 1);
    }
    /*---------------------------------------*/

    cur_face = 2 + hori_edge.size() + verti_edge.size() - vertices.size() - dragon.size();
    xL = yL = INF;
    xR = yR = 0;
    for(pair<int, int> i: dragon){
        maximize(xR, i.first); maximize(yR, i.second);
        minimize(xL, i.first); minimize(yL, i.second);
    }
}

int colour(int ar, int ac, int br, int bc) {
    if (ar < xL && ac < yL && br > xR && bc > yR) return cur_face;
    int v_cnt = ((br - ar) + (bc - ac)) * 2, e_cnt = v_cnt;
    int block_cnt = dragon_cnt.get(ac, bc, dragon_row[br]) - dragon_cnt.get(ac, bc, dragon_row[ar - 1]);
    v_cnt += vertices_cnt.get(ac, bc - 1, vertices_row[br-1]) - vertices_cnt.get(ac, bc - 1, vertices_row[ar-1]);
    e_cnt += hori_edge_cnt.get(ac, bc, hori_edge_row[br-1]) - hori_edge_cnt.get(ac, bc, hori_edge_row[ar-1]);
    e_cnt += verti_edge_cnt.get(ac, bc-1, verti_edge_row[br]) - verti_edge_cnt.get(ac, bc-1, verti_edge_row[ar-1]);
    return 1 + e_cnt - v_cnt - block_cnt;
}


 
// int main(void){
//     ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

//     freopen("input.inp", "r", stdin);

//     int n, m, k; cin >> n >> m;
//     int sr, sc; cin >> sr >> sc;
//     cin >> k;
//     string s; cin >> s;
//     init(n, m, sr, sc, k, (char*) s.c_str());

//     int q; cin >> q;
//     while(q--) {
//         int a, b, c, d; cin >> a >> b >> c >> d;
//         cout << colour(a, b, c, d) << "\n";
//     }
 
//     return 0;
// }
# Verdict Execution time Memory Grader output
1 Correct 22 ms 29272 KB Output is correct
2 Correct 27 ms 34136 KB Output is correct
3 Correct 22 ms 29012 KB Output is correct
4 Correct 22 ms 29528 KB Output is correct
5 Correct 26 ms 34364 KB Output is correct
6 Correct 22 ms 34380 KB Output is correct
7 Correct 21 ms 30380 KB Output is correct
8 Correct 21 ms 28756 KB Output is correct
9 Correct 21 ms 31320 KB Output is correct
10 Correct 22 ms 32780 KB Output is correct
11 Correct 22 ms 28488 KB Output is correct
12 Correct 22 ms 29528 KB Output is correct
13 Correct 24 ms 31064 KB Output is correct
14 Correct 26 ms 33368 KB Output is correct
15 Correct 21 ms 28472 KB Output is correct
16 Correct 24 ms 31972 KB Output is correct
17 Correct 25 ms 32556 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 31972 KB Output is correct
2 Correct 25 ms 32556 KB Output is correct
3 Correct 583 ms 130252 KB Output is correct
4 Correct 686 ms 192068 KB Output is correct
5 Correct 725 ms 189660 KB Output is correct
6 Correct 614 ms 158420 KB Output is correct
7 Correct 573 ms 165792 KB Output is correct
8 Correct 347 ms 32052 KB Output is correct
9 Correct 718 ms 190660 KB Output is correct
10 Correct 709 ms 188580 KB Output is correct
11 Correct 625 ms 158232 KB Output is correct
12 Correct 312 ms 188940 KB Output is correct
13 Correct 316 ms 188712 KB Output is correct
14 Correct 320 ms 188676 KB Output is correct
15 Correct 281 ms 159524 KB Output is correct
16 Correct 579 ms 135812 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 28472 KB Output is correct
2 Correct 216 ms 211176 KB Output is correct
3 Correct 210 ms 214004 KB Output is correct
4 Correct 250 ms 212800 KB Output is correct
5 Correct 164 ms 176376 KB Output is correct
6 Correct 65 ms 61216 KB Output is correct
7 Correct 111 ms 98576 KB Output is correct
8 Correct 184 ms 180216 KB Output is correct
9 Correct 181 ms 168200 KB Output is correct
10 Correct 71 ms 61460 KB Output is correct
11 Correct 127 ms 127412 KB Output is correct
12 Correct 219 ms 211960 KB Output is correct
13 Correct 212 ms 214232 KB Output is correct
14 Correct 241 ms 214060 KB Output is correct
15 Correct 181 ms 179384 KB Output is correct
16 Correct 61 ms 57888 KB Output is correct
17 Correct 105 ms 99596 KB Output is correct
18 Correct 212 ms 210164 KB Output is correct
19 Correct 201 ms 192756 KB Output is correct
20 Correct 193 ms 190612 KB Output is correct
21 Correct 181 ms 177524 KB Output is correct
22 Correct 166 ms 170256 KB Output is correct
23 Correct 68 ms 62220 KB Output is correct
24 Correct 120 ms 127752 KB Output is correct
25 Correct 215 ms 212140 KB Output is correct
26 Correct 208 ms 213740 KB Output is correct
27 Correct 234 ms 211944 KB Output is correct
28 Correct 172 ms 178828 KB Output is correct
29 Correct 60 ms 58452 KB Output is correct
30 Correct 109 ms 99384 KB Output is correct
31 Correct 208 ms 210672 KB Output is correct
32 Correct 203 ms 192752 KB Output is correct
33 Correct 195 ms 192164 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 29272 KB Output is correct
2 Correct 27 ms 34136 KB Output is correct
3 Correct 22 ms 29012 KB Output is correct
4 Correct 22 ms 29528 KB Output is correct
5 Correct 26 ms 34364 KB Output is correct
6 Correct 22 ms 34380 KB Output is correct
7 Correct 21 ms 30380 KB Output is correct
8 Correct 21 ms 28756 KB Output is correct
9 Correct 21 ms 31320 KB Output is correct
10 Correct 22 ms 32780 KB Output is correct
11 Correct 22 ms 28488 KB Output is correct
12 Correct 22 ms 29528 KB Output is correct
13 Correct 24 ms 31064 KB Output is correct
14 Correct 26 ms 33368 KB Output is correct
15 Correct 21 ms 28472 KB Output is correct
16 Correct 24 ms 31972 KB Output is correct
17 Correct 25 ms 32556 KB Output is correct
18 Correct 565 ms 155224 KB Output is correct
19 Correct 200 ms 32076 KB Output is correct
20 Correct 197 ms 29272 KB Output is correct
21 Correct 200 ms 29256 KB Output is correct
22 Correct 184 ms 30552 KB Output is correct
23 Correct 207 ms 31828 KB Output is correct
24 Correct 168 ms 29272 KB Output is correct
25 Correct 175 ms 30284 KB Output is correct
26 Correct 194 ms 30792 KB Output is correct
27 Correct 324 ms 103440 KB Output is correct
28 Correct 248 ms 61772 KB Output is correct
29 Correct 339 ms 98820 KB Output is correct
30 Correct 532 ms 211644 KB Output is correct
31 Correct 23 ms 31272 KB Output is correct
32 Correct 422 ms 106252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 29272 KB Output is correct
2 Correct 27 ms 34136 KB Output is correct
3 Correct 22 ms 29012 KB Output is correct
4 Correct 22 ms 29528 KB Output is correct
5 Correct 26 ms 34364 KB Output is correct
6 Correct 22 ms 34380 KB Output is correct
7 Correct 21 ms 30380 KB Output is correct
8 Correct 21 ms 28756 KB Output is correct
9 Correct 21 ms 31320 KB Output is correct
10 Correct 22 ms 32780 KB Output is correct
11 Correct 22 ms 28488 KB Output is correct
12 Correct 22 ms 29528 KB Output is correct
13 Correct 24 ms 31064 KB Output is correct
14 Correct 26 ms 33368 KB Output is correct
15 Correct 21 ms 28472 KB Output is correct
16 Correct 24 ms 31972 KB Output is correct
17 Correct 25 ms 32556 KB Output is correct
18 Correct 565 ms 155224 KB Output is correct
19 Correct 200 ms 32076 KB Output is correct
20 Correct 197 ms 29272 KB Output is correct
21 Correct 200 ms 29256 KB Output is correct
22 Correct 184 ms 30552 KB Output is correct
23 Correct 207 ms 31828 KB Output is correct
24 Correct 168 ms 29272 KB Output is correct
25 Correct 175 ms 30284 KB Output is correct
26 Correct 194 ms 30792 KB Output is correct
27 Correct 324 ms 103440 KB Output is correct
28 Correct 248 ms 61772 KB Output is correct
29 Correct 339 ms 98820 KB Output is correct
30 Correct 532 ms 211644 KB Output is correct
31 Correct 23 ms 31272 KB Output is correct
32 Correct 422 ms 106252 KB Output is correct
33 Correct 216 ms 211176 KB Output is correct
34 Correct 210 ms 214004 KB Output is correct
35 Correct 250 ms 212800 KB Output is correct
36 Correct 164 ms 176376 KB Output is correct
37 Correct 65 ms 61216 KB Output is correct
38 Correct 111 ms 98576 KB Output is correct
39 Correct 184 ms 180216 KB Output is correct
40 Correct 181 ms 168200 KB Output is correct
41 Correct 71 ms 61460 KB Output is correct
42 Correct 127 ms 127412 KB Output is correct
43 Correct 219 ms 211960 KB Output is correct
44 Correct 212 ms 214232 KB Output is correct
45 Correct 241 ms 214060 KB Output is correct
46 Correct 181 ms 179384 KB Output is correct
47 Correct 61 ms 57888 KB Output is correct
48 Correct 105 ms 99596 KB Output is correct
49 Correct 212 ms 210164 KB Output is correct
50 Correct 201 ms 192756 KB Output is correct
51 Correct 193 ms 190612 KB Output is correct
52 Correct 181 ms 177524 KB Output is correct
53 Correct 166 ms 170256 KB Output is correct
54 Correct 68 ms 62220 KB Output is correct
55 Correct 120 ms 127752 KB Output is correct
56 Correct 215 ms 212140 KB Output is correct
57 Correct 208 ms 213740 KB Output is correct
58 Correct 234 ms 211944 KB Output is correct
59 Correct 172 ms 178828 KB Output is correct
60 Correct 60 ms 58452 KB Output is correct
61 Correct 109 ms 99384 KB Output is correct
62 Correct 208 ms 210672 KB Output is correct
63 Correct 203 ms 192752 KB Output is correct
64 Correct 195 ms 192164 KB Output is correct
65 Correct 583 ms 130252 KB Output is correct
66 Correct 686 ms 192068 KB Output is correct
67 Correct 725 ms 189660 KB Output is correct
68 Correct 614 ms 158420 KB Output is correct
69 Correct 573 ms 165792 KB Output is correct
70 Correct 347 ms 32052 KB Output is correct
71 Correct 718 ms 190660 KB Output is correct
72 Correct 709 ms 188580 KB Output is correct
73 Correct 625 ms 158232 KB Output is correct
74 Correct 312 ms 188940 KB Output is correct
75 Correct 316 ms 188712 KB Output is correct
76 Correct 320 ms 188676 KB Output is correct
77 Correct 281 ms 159524 KB Output is correct
78 Correct 579 ms 135812 KB Output is correct
79 Correct 716 ms 178348 KB Output is correct
80 Correct 797 ms 168744 KB Output is correct
81 Correct 299 ms 62228 KB Output is correct
82 Correct 403 ms 127684 KB Output is correct
83 Correct 697 ms 212728 KB Output is correct
84 Correct 702 ms 212944 KB Output is correct
85 Correct 646 ms 211432 KB Output is correct
86 Correct 619 ms 177232 KB Output is correct
87 Correct 356 ms 57980 KB Output is correct
88 Correct 502 ms 99532 KB Output is correct
89 Correct 601 ms 213488 KB Output is correct
90 Correct 792 ms 191204 KB Output is correct
91 Correct 615 ms 194804 KB Output is correct