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Submission #684895

# Submission time Handle Problem Language Result Execution time Memory
684895 2023-01-22T18:55:55 Z SirCovidThe19th Land of the Rainbow Gold (APIO17_rainbow) C++17
100 / 100
 1045 ms 205760 KB 
#include <bits/stdc++.h>
using namespace std; 

const int mx = 2e5 + 5;

struct persistentSegTree{
    int idx = 1, root[mx], seg[mx * 31], lc[mx * 31], rc[mx * 31]; set<int> pos[mx];

    void add(int r, int c){
        pos[r].insert(c);
    }
    void init(){
        for (int i = 0; i < mx; i++){
            root[i] = !i ? 0 : root[i - 1];
            for (int j : pos[i]) upd(j, 1, root[i]);
        }
    }
    void dup(int &i){
        lc[idx] = lc[i];
        rc[idx] = rc[i];
        seg[idx] = seg[i];
        i = idx; idx++;
    }
    void upd(int p, int val, int &i, int l = 0, int r = 2e5){
        dup(i);
        if (l == r){ seg[i] += val; return; }

        int mid = (l + r) / 2;
        if (p <= mid) upd(p, val, lc[i], l, mid);
        else upd(p, val, rc[i], mid + 1, r);

        seg[i] = seg[lc[i]] + seg[rc[i]];
    }
    int qry(int ql, int qr, int i, int l = 0, int r = 2e5){
        if (qr < l or ql > r or !i) return 0;
        if (l >= ql and r <= qr) return seg[i];
        int mid = (l + r) / 2;
        return qry(ql, qr, lc[i], l, mid) + qry(ql, qr, rc[i], mid + 1, r);
    }
    int rectQry(int ar, int ac, int br, int bc){
        return qry(ac, bc, root[br]) - qry(ac, bc, root[ar - 1]);
    }
};

int mnr = 1e9, mxr, mnc = 1e9, mxc; persistentSegTree rivers, nodes, topEdg, leftEdg;

void init(int R, int C, int sr, int sc, int m, char *S){
    auto addRiver = [&](int r, int c){
        rivers.add(r, c);
        nodes.add(r, c);
        nodes.add(r, c + 1);
        nodes.add(r + 1, c);
        nodes.add(r + 1, c + 1);
        topEdg.add(r, c);
        topEdg.add(r + 1, c);
        leftEdg.add(r, c);
        leftEdg.add(r, c + 1);
        mnr = min(mnr, r); 
        mxr = max(mxr, r);
        mnc = min(mnc, c);
        mxc = max(mxc, c);
    };
    addRiver(sr, sc);

    for (int i = 0; i < m; i++){
        if (S[i] == 'N') sr--;
        if (S[i] == 'S') sr++;
        if (S[i] == 'E') sc++;
        if (S[i] == 'W') sc--;
        addRiver(sr, sc);
    }
    rivers.init();
    nodes.init();
    topEdg.init();
    leftEdg.init();
}
int colour(int ar, int ac, int br, int bc){
    int n = br - ar + 1;
    int m = bc - ac + 1;
    int C = (ar < mnr and br > mxr and ac < mnc and bc > mxc) ? 2 : 1;
    int V = 2 * (n + m) + nodes.rectQry(ar + 1, ac + 1, br, bc);
    int E = topEdg.rectQry(ar + 1, ac, br, bc) + leftEdg.rectQry(ar, ac + 1, br, bc) + 2 * (n + m);
    int F = E - V + C + 1;
    return F - rivers.rectQry(ar, ac, br, bc) - 1; 
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 41352 KB Output is correct
2 Correct 26 ms 42292 KB Output is correct
3 Correct 25 ms 41596 KB Output is correct
4 Correct 24 ms 41500 KB Output is correct
5 Correct 26 ms 42584 KB Output is correct
6 Correct 20 ms 41044 KB Output is correct
7 Correct 22 ms 41036 KB Output is correct
8 Correct 22 ms 41104 KB Output is correct
9 Correct 22 ms 40988 KB Output is correct
10 Correct 23 ms 41036 KB Output is correct
11 Correct 25 ms 41588 KB Output is correct
12 Correct 25 ms 42060 KB Output is correct
13 Correct 27 ms 43184 KB Output is correct
14 Correct 32 ms 43808 KB Output is correct
15 Correct 22 ms 41100 KB Output is correct
16 Correct 23 ms 40968 KB Output is correct
17 Correct 22 ms 41012 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 40968 KB Output is correct
2 Correct 22 ms 41012 KB Output is correct
3 Correct 428 ms 139952 KB Output is correct
4 Correct 638 ms 204572 KB Output is correct
5 Correct 662 ms 203304 KB Output is correct
6 Correct 528 ms 166760 KB Output is correct
7 Correct 684 ms 164700 KB Output is correct
8 Correct 96 ms 44740 KB Output is correct
9 Correct 648 ms 204560 KB Output is correct
10 Correct 673 ms 203120 KB Output is correct
11 Correct 555 ms 166604 KB Output is correct
12 Correct 404 ms 193216 KB Output is correct
13 Correct 433 ms 204376 KB Output is correct
14 Correct 461 ms 203132 KB Output is correct
15 Correct 440 ms 166976 KB Output is correct
16 Correct 468 ms 157628 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 41100 KB Output is correct
2 Correct 387 ms 201124 KB Output is correct
3 Correct 191 ms 198668 KB Output is correct
4 Correct 209 ms 201168 KB Output is correct
5 Correct 197 ms 159940 KB Output is correct
6 Correct 94 ms 71244 KB Output is correct
7 Correct 159 ms 100880 KB Output is correct
8 Correct 314 ms 183792 KB Output is correct
9 Correct 293 ms 167756 KB Output is correct
10 Correct 106 ms 72768 KB Output is correct
11 Correct 178 ms 119500 KB Output is correct
12 Correct 371 ms 201104 KB Output is correct
13 Correct 190 ms 198564 KB Output is correct
14 Correct 209 ms 201064 KB Output is correct
15 Correct 206 ms 159772 KB Output is correct
16 Correct 92 ms 65144 KB Output is correct
17 Correct 145 ms 100988 KB Output is correct
18 Correct 279 ms 201156 KB Output is correct
19 Correct 281 ms 202252 KB Output is correct
20 Correct 284 ms 202084 KB Output is correct
21 Correct 314 ms 183912 KB Output is correct
22 Correct 299 ms 167832 KB Output is correct
23 Correct 101 ms 72756 KB Output is correct
24 Correct 185 ms 119536 KB Output is correct
25 Correct 375 ms 201080 KB Output is correct
26 Correct 192 ms 198680 KB Output is correct
27 Correct 210 ms 201100 KB Output is correct
28 Correct 189 ms 159824 KB Output is correct
29 Correct 89 ms 65028 KB Output is correct
30 Correct 147 ms 100940 KB Output is correct
31 Correct 271 ms 201056 KB Output is correct
32 Correct 277 ms 202080 KB Output is correct
33 Correct 276 ms 202060 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 41352 KB Output is correct
2 Correct 26 ms 42292 KB Output is correct
3 Correct 25 ms 41596 KB Output is correct
4 Correct 24 ms 41500 KB Output is correct
5 Correct 26 ms 42584 KB Output is correct
6 Correct 20 ms 41044 KB Output is correct
7 Correct 22 ms 41036 KB Output is correct
8 Correct 22 ms 41104 KB Output is correct
9 Correct 22 ms 40988 KB Output is correct
10 Correct 23 ms 41036 KB Output is correct
11 Correct 25 ms 41588 KB Output is correct
12 Correct 25 ms 42060 KB Output is correct
13 Correct 27 ms 43184 KB Output is correct
14 Correct 32 ms 43808 KB Output is correct
15 Correct 22 ms 41100 KB Output is correct
16 Correct 23 ms 40968 KB Output is correct
17 Correct 22 ms 41012 KB Output is correct
18 Correct 741 ms 125536 KB Output is correct
19 Correct 222 ms 48156 KB Output is correct
20 Correct 175 ms 45068 KB Output is correct
21 Correct 187 ms 45744 KB Output is correct
22 Correct 200 ms 46520 KB Output is correct
23 Correct 224 ms 47948 KB Output is correct
24 Correct 177 ms 45516 KB Output is correct
25 Correct 196 ms 46284 KB Output is correct
26 Correct 201 ms 46812 KB Output is correct
27 Correct 291 ms 109804 KB Output is correct
28 Correct 237 ms 75892 KB Output is correct
29 Correct 293 ms 104236 KB Output is correct
30 Correct 568 ms 204496 KB Output is correct
31 Correct 27 ms 41164 KB Output is correct
32 Correct 562 ms 110636 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 41352 KB Output is correct
2 Correct 26 ms 42292 KB Output is correct
3 Correct 25 ms 41596 KB Output is correct
4 Correct 24 ms 41500 KB Output is correct
5 Correct 26 ms 42584 KB Output is correct
6 Correct 20 ms 41044 KB Output is correct
7 Correct 22 ms 41036 KB Output is correct
8 Correct 22 ms 41104 KB Output is correct
9 Correct 22 ms 40988 KB Output is correct
10 Correct 23 ms 41036 KB Output is correct
11 Correct 25 ms 41588 KB Output is correct
12 Correct 25 ms 42060 KB Output is correct
13 Correct 27 ms 43184 KB Output is correct
14 Correct 32 ms 43808 KB Output is correct
15 Correct 22 ms 41100 KB Output is correct
16 Correct 23 ms 40968 KB Output is correct
17 Correct 22 ms 41012 KB Output is correct
18 Correct 741 ms 125536 KB Output is correct
19 Correct 222 ms 48156 KB Output is correct
20 Correct 175 ms 45068 KB Output is correct
21 Correct 187 ms 45744 KB Output is correct
22 Correct 200 ms 46520 KB Output is correct
23 Correct 224 ms 47948 KB Output is correct
24 Correct 177 ms 45516 KB Output is correct
25 Correct 196 ms 46284 KB Output is correct
26 Correct 201 ms 46812 KB Output is correct
27 Correct 291 ms 109804 KB Output is correct
28 Correct 237 ms 75892 KB Output is correct
29 Correct 293 ms 104236 KB Output is correct
30 Correct 568 ms 204496 KB Output is correct
31 Correct 27 ms 41164 KB Output is correct
32 Correct 562 ms 110636 KB Output is correct
33 Correct 387 ms 201124 KB Output is correct
34 Correct 191 ms 198668 KB Output is correct
35 Correct 209 ms 201168 KB Output is correct
36 Correct 197 ms 159940 KB Output is correct
37 Correct 94 ms 71244 KB Output is correct
38 Correct 159 ms 100880 KB Output is correct
39 Correct 314 ms 183792 KB Output is correct
40 Correct 293 ms 167756 KB Output is correct
41 Correct 106 ms 72768 KB Output is correct
42 Correct 178 ms 119500 KB Output is correct
43 Correct 371 ms 201104 KB Output is correct
44 Correct 190 ms 198564 KB Output is correct
45 Correct 209 ms 201064 KB Output is correct
46 Correct 206 ms 159772 KB Output is correct
47 Correct 92 ms 65144 KB Output is correct
48 Correct 145 ms 100988 KB Output is correct
49 Correct 279 ms 201156 KB Output is correct
50 Correct 281 ms 202252 KB Output is correct
51 Correct 284 ms 202084 KB Output is correct
52 Correct 314 ms 183912 KB Output is correct
53 Correct 299 ms 167832 KB Output is correct
54 Correct 101 ms 72756 KB Output is correct
55 Correct 185 ms 119536 KB Output is correct
56 Correct 375 ms 201080 KB Output is correct
57 Correct 192 ms 198680 KB Output is correct
58 Correct 210 ms 201100 KB Output is correct
59 Correct 189 ms 159824 KB Output is correct
60 Correct 89 ms 65028 KB Output is correct
61 Correct 147 ms 100940 KB Output is correct
62 Correct 271 ms 201056 KB Output is correct
63 Correct 277 ms 202080 KB Output is correct
64 Correct 276 ms 202060 KB Output is correct
65 Correct 428 ms 139952 KB Output is correct
66 Correct 638 ms 204572 KB Output is correct
67 Correct 662 ms 203304 KB Output is correct
68 Correct 528 ms 166760 KB Output is correct
69 Correct 684 ms 164700 KB Output is correct
70 Correct 96 ms 44740 KB Output is correct
71 Correct 648 ms 204560 KB Output is correct
72 Correct 673 ms 203120 KB Output is correct
73 Correct 555 ms 166604 KB Output is correct
74 Correct 404 ms 193216 KB Output is correct
75 Correct 433 ms 204376 KB Output is correct
76 Correct 461 ms 203132 KB Output is correct
77 Correct 440 ms 166976 KB Output is correct
78 Correct 468 ms 157628 KB Output is correct
79 Correct 1045 ms 187260 KB Output is correct
80 Correct 1028 ms 171436 KB Output is correct
81 Correct 349 ms 76136 KB Output is correct
82 Correct 361 ms 122924 KB Output is correct
83 Correct 631 ms 204628 KB Output is correct
84 Correct 307 ms 202176 KB Output is correct
85 Correct 368 ms 204548 KB Output is correct
86 Correct 321 ms 163404 KB Output is correct
87 Correct 148 ms 68524 KB Output is correct
88 Correct 213 ms 104440 KB Output is correct
89 Correct 337 ms 204664 KB Output is correct
90 Correct 504 ms 205760 KB Output is correct
91 Correct 483 ms 205516 KB Output is correct