oj.uz

Submission #376846

# Submission time Handle Problem Language Result Execution time Memory
376846 2021-03-12T05:23:02 Z KoD Land of the Rainbow Gold (APIO17_rainbow) C++17
100 / 100
 1909 ms 304240 KB 
#include <bits/stdc++.h>
#include "rainbow.h"

template <class T>
using Vec = std::vector<T>;

struct Count2D {
    int size;
    Vec<Vec<int>> pts;
    Vec<Vec<int>> left, right;
    Count2D() = default;
    Count2D(const int range) {
        size = 1;
        while (size < range) {
            size <<= 1;
        }
        pts.resize(2 * size);
        left.resize(size);
        right.resize(size);
    }
    void add(const int x, const int y) {
        pts[x + size].push_back(y);
    }
    void build() {
        for (int i = size; i < 2 * size; ++i) {
            std::sort(pts[i].begin(), pts[i].end());
            pts[i].erase(std::unique(pts[i].begin(), pts[i].end()), pts[i].end());
        }
        for (int i = size - 1; i > 0; --i) {
            const auto l = 2 * i;
            const auto r = 2 * i + 1;
            const auto l_sz = (int) pts[l].size();
            const auto r_sz = (int) pts[r].size();
            const auto sz = l_sz + r_sz;
            pts[i].reserve(sz);
            left[i].reserve(sz + 1);
            right[i].reserve(sz + 1);
            int s = 0, t = 0;
            while (s < l_sz || t < r_sz) {
                left[i].push_back(s);
                right[i].push_back(t);
                if (t == r_sz || (s < l_sz && pts[l][s] < pts[r][t])) {
                    pts[i].push_back(pts[l][s]);
                    s += 1;
                }
                else {
                    pts[i].push_back(pts[r][t]);
                    t += 1;
                }
            }
            left[i].push_back(l_sz);
            right[i].push_back(r_sz);
        }
    }
    int count(const int xl, const int xr, int yl, int yr) const {
        yl = std::lower_bound(pts[1].begin(), pts[1].end(), yl) - pts[1].begin();
        yr = std::lower_bound(pts[1].begin(), pts[1].end(), yr) - pts[1].begin();
        return count(xl, xr, yl, yr, 1, 0, size);
    }
    int count(const int xl, const int xr, const int yl, const int yr, const int k, const int l, const int r) const {
        if (xl <= l && r <= xr) {
            return yr - yl;
        }
        if (xr <= l || r <= xl) {
            return 0;
        }
        const auto m = (l + r) / 2;
        return count(xl, xr, left[k][yl], left[k][yr], 2 * k, l, m) + count(xl, xr, right[k][yl], right[k][yr], 2 * k + 1, m, r);
    }
};

int Row, Column;
int maxX, minX, maxY, minY;
Count2D vert, edgeR, edgeC, cycle;

void add(const int x, const int y) {
    maxX = std::max(maxX, x);
    minX = std::min(minX, x);
    maxY = std::max(maxY, y);
    minY = std::min(minY, y);
    vert.add(x, y);
    edgeR.add(x, y);
    edgeC.add(x, y);
    cycle.add(x, y);
    if (x > 0) {
        edgeC.add(x - 1, y);
        cycle.add(x - 1, y);
    }
    if (y > 0) {
        edgeR.add(x, y - 1);
        cycle.add(x, y - 1);
    }
    if (x > 0 && y > 0) {
        cycle.add(x - 1, y - 1);
    }
}

void init(int R, int C, int sr, int sc, int M, char *S) {
    Row = R;
    Column = C;
    maxX = -1, minX = R, maxY = -1, minY = C;
    vert = Count2D(R);    
    edgeR = Count2D(R);    
    edgeC = Count2D(R);    
    cycle = Count2D(R);    
    sr -= 1;
    sc -= 1;
    add(sr, sc);
    for (int i = 0; i < M; ++i) {
        if (S[i] == 'N') sr -= 1;
        if (S[i] == 'S') sr += 1;
        if (S[i] == 'E') sc += 1;
        if (S[i] == 'W') sc -= 1;
        add(sr, sc);
    }
    vert.build();
    edgeR.build();
    edgeC.build();
    cycle.build();
}

int colour(int ar, int ac, int br, int bc) {
    ar -= 1;
    ac -= 1;
    long long V = 0, E = 0, C = 0;
    V += (long long) (br - ar) * (bc - ac);
    V -= vert.count(ar, br, ac, bc);
    E += (long long) (br - ar) * (bc - ac - 1);
    E -= edgeR.count(ar, br, ac, bc - 1);
    E += (long long) (br - ar - 1) * (bc - ac);
    E -= edgeC.count(ar, br - 1, ac, bc);
    C += (long long) (br - ar - 1) * (bc - ac - 1);
    C -= cycle.count(ar, br - 1, ac, bc - 1);
    if (ar < minX && br > maxX + 1 && ac < minY && bc > maxY + 1) {
        C += 1;
    }
    return V + C - E;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 4 ms 748 KB Output is correct
3 Correct 3 ms 492 KB Output is correct
4 Correct 3 ms 492 KB Output is correct
5 Correct 4 ms 1004 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 3 ms 652 KB Output is correct
12 Correct 4 ms 748 KB Output is correct
13 Correct 4 ms 1004 KB Output is correct
14 Correct 5 ms 1408 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 153 ms 9568 KB Output is correct
4 Correct 211 ms 13264 KB Output is correct
5 Correct 202 ms 13048 KB Output is correct
6 Correct 164 ms 11952 KB Output is correct
7 Correct 193 ms 11212 KB Output is correct
8 Correct 86 ms 7764 KB Output is correct
9 Correct 202 ms 12952 KB Output is correct
10 Correct 198 ms 13136 KB Output is correct
11 Correct 169 ms 11604 KB Output is correct
12 Correct 116 ms 13212 KB Output is correct
13 Correct 115 ms 13392 KB Output is correct
14 Correct 116 ms 13136 KB Output is correct
15 Correct 115 ms 11596 KB Output is correct
16 Correct 161 ms 10140 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 466 ms 295368 KB Output is correct
3 Correct 543 ms 300560 KB Output is correct
4 Correct 505 ms 296172 KB Output is correct
5 Correct 459 ms 265668 KB Output is correct
6 Correct 306 ms 193516 KB Output is correct
7 Correct 354 ms 217068 KB Output is correct
8 Correct 70 ms 20116 KB Output is correct
9 Correct 79 ms 23896 KB Output is correct
10 Correct 180 ms 108652 KB Output is correct
11 Correct 263 ms 145692 KB Output is correct
12 Correct 467 ms 295316 KB Output is correct
13 Correct 534 ms 300396 KB Output is correct
14 Correct 508 ms 296172 KB Output is correct
15 Correct 458 ms 265636 KB Output is correct
16 Correct 301 ms 188388 KB Output is correct
17 Correct 354 ms 217452 KB Output is correct
18 Correct 481 ms 295916 KB Output is correct
19 Correct 457 ms 278164 KB Output is correct
20 Correct 452 ms 277924 KB Output is correct
21 Correct 70 ms 19988 KB Output is correct
22 Correct 81 ms 24024 KB Output is correct
23 Correct 181 ms 108524 KB Output is correct
24 Correct 264 ms 145820 KB Output is correct
25 Correct 466 ms 295444 KB Output is correct
26 Correct 541 ms 300524 KB Output is correct
27 Correct 507 ms 296172 KB Output is correct
28 Correct 454 ms 265764 KB Output is correct
29 Correct 298 ms 188396 KB Output is correct
30 Correct 361 ms 217452 KB Output is correct
31 Correct 482 ms 296044 KB Output is correct
32 Correct 459 ms 277924 KB Output is correct
33 Correct 457 ms 278052 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 4 ms 748 KB Output is correct
3 Correct 3 ms 492 KB Output is correct
4 Correct 3 ms 492 KB Output is correct
5 Correct 4 ms 1004 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 3 ms 652 KB Output is correct
12 Correct 4 ms 748 KB Output is correct
13 Correct 4 ms 1004 KB Output is correct
14 Correct 5 ms 1408 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1016 ms 44724 KB Output is correct
19 Correct 248 ms 5228 KB Output is correct
20 Correct 199 ms 4076 KB Output is correct
21 Correct 245 ms 4460 KB Output is correct
22 Correct 269 ms 5228 KB Output is correct
23 Correct 248 ms 5144 KB Output is correct
24 Correct 214 ms 4332 KB Output is correct
25 Correct 253 ms 4844 KB Output is correct
26 Correct 275 ms 5228 KB Output is correct
27 Correct 569 ms 38324 KB Output is correct
28 Correct 495 ms 23532 KB Output is correct
29 Correct 609 ms 36076 KB Output is correct
30 Correct 859 ms 79596 KB Output is correct
31 Correct 4 ms 492 KB Output is correct
32 Correct 981 ms 38220 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 4 ms 748 KB Output is correct
3 Correct 3 ms 492 KB Output is correct
4 Correct 3 ms 492 KB Output is correct
5 Correct 4 ms 1004 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 3 ms 652 KB Output is correct
12 Correct 4 ms 748 KB Output is correct
13 Correct 4 ms 1004 KB Output is correct
14 Correct 5 ms 1408 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1016 ms 44724 KB Output is correct
19 Correct 248 ms 5228 KB Output is correct
20 Correct 199 ms 4076 KB Output is correct
21 Correct 245 ms 4460 KB Output is correct
22 Correct 269 ms 5228 KB Output is correct
23 Correct 248 ms 5144 KB Output is correct
24 Correct 214 ms 4332 KB Output is correct
25 Correct 253 ms 4844 KB Output is correct
26 Correct 275 ms 5228 KB Output is correct
27 Correct 569 ms 38324 KB Output is correct
28 Correct 495 ms 23532 KB Output is correct
29 Correct 609 ms 36076 KB Output is correct
30 Correct 859 ms 79596 KB Output is correct
31 Correct 4 ms 492 KB Output is correct
32 Correct 981 ms 38220 KB Output is correct
33 Correct 466 ms 295368 KB Output is correct
34 Correct 543 ms 300560 KB Output is correct
35 Correct 505 ms 296172 KB Output is correct
36 Correct 459 ms 265668 KB Output is correct
37 Correct 306 ms 193516 KB Output is correct
38 Correct 354 ms 217068 KB Output is correct
39 Correct 70 ms 20116 KB Output is correct
40 Correct 79 ms 23896 KB Output is correct
41 Correct 180 ms 108652 KB Output is correct
42 Correct 263 ms 145692 KB Output is correct
43 Correct 467 ms 295316 KB Output is correct
44 Correct 534 ms 300396 KB Output is correct
45 Correct 508 ms 296172 KB Output is correct
46 Correct 458 ms 265636 KB Output is correct
47 Correct 301 ms 188388 KB Output is correct
48 Correct 354 ms 217452 KB Output is correct
49 Correct 481 ms 295916 KB Output is correct
50 Correct 457 ms 278164 KB Output is correct
51 Correct 452 ms 277924 KB Output is correct
52 Correct 70 ms 19988 KB Output is correct
53 Correct 81 ms 24024 KB Output is correct
54 Correct 181 ms 108524 KB Output is correct
55 Correct 264 ms 145820 KB Output is correct
56 Correct 466 ms 295444 KB Output is correct
57 Correct 541 ms 300524 KB Output is correct
58 Correct 507 ms 296172 KB Output is correct
59 Correct 454 ms 265764 KB Output is correct
60 Correct 298 ms 188396 KB Output is correct
61 Correct 361 ms 217452 KB Output is correct
62 Correct 482 ms 296044 KB Output is correct
63 Correct 459 ms 277924 KB Output is correct
64 Correct 457 ms 278052 KB Output is correct
65 Correct 153 ms 9568 KB Output is correct
66 Correct 211 ms 13264 KB Output is correct
67 Correct 202 ms 13048 KB Output is correct
68 Correct 164 ms 11952 KB Output is correct
69 Correct 193 ms 11212 KB Output is correct
70 Correct 86 ms 7764 KB Output is correct
71 Correct 202 ms 12952 KB Output is correct
72 Correct 198 ms 13136 KB Output is correct
73 Correct 169 ms 11604 KB Output is correct
74 Correct 116 ms 13212 KB Output is correct
75 Correct 115 ms 13392 KB Output is correct
76 Correct 116 ms 13136 KB Output is correct
77 Correct 115 ms 11596 KB Output is correct
78 Correct 161 ms 10140 KB Output is correct
79 Correct 459 ms 23444 KB Output is correct
80 Correct 544 ms 27352 KB Output is correct
81 Correct 1313 ms 112364 KB Output is correct
82 Correct 1287 ms 149344 KB Output is correct
83 Correct 1815 ms 299196 KB Output is correct
84 Correct 1853 ms 304240 KB Output is correct
85 Correct 1759 ms 299884 KB Output is correct
86 Correct 1705 ms 269348 KB Output is correct
87 Correct 1392 ms 192288 KB Output is correct
88 Correct 1508 ms 221164 KB Output is correct
89 Correct 1604 ms 299756 KB Output is correct
90 Correct 1909 ms 281552 KB Output is correct
91 Correct 1450 ms 281552 KB Output is correct