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Submission #316702

# Submission time Handle Problem Language Result Execution time Memory
316702 2020-10-27T10:42:30 Z phathnv Land of the Rainbow Gold (APIO17_rainbow) C++11
100 / 100
 1903 ms 158552 KB 
#include <bits/stdc++.h>
 
#define mp make_pair
#define X first
#define Y second
#define taskname "Rainbow"
 
using namespace std;
 
typedef long long ll;
typedef pair <int, int> ii;
 
const int N = 2e5 + 1;
 
struct segmentTree{
    vector <int> d[N * 4];
    void add(int id, int l, int r, int x, int y){
        if (x < l || r < x)
            return;
        d[id].push_back(y);
        if (l == r)
            return;
        int mid = (l + r) >> 1;
        add(id << 1, l, mid, x, y);
        add(id << 1 | 1, mid + 1, r, x, y);
    }
    void normalize(int id, int l, int r){
        if (d[id].empty())
            return;
 
        sort(d[id].begin(), d[id].end());
 
        if (l == r)
            return;
 
        int mid = (l + r) >> 1;
        normalize(id << 1, l, mid);
        normalize(id << 1 | 1, mid + 1, r);
    }
    int get(int id, int l, int r, int x1, int y1, int x2, int y2){
        if (x2 < l || r < x1 || x1 > x2 || y1 > y2)
            return 0;
        if (d[id].empty())
            return 0;
        if (x1 <= l && r <= x2){
            return  upper_bound(d[id].begin(), d[id].end(), y2) -
                    lower_bound(d[id].begin(), d[id].end(), y1);
        }
        int mid = (l + r) >> 1;
        return get(id << 1, l, mid, x1, y1, x2, y2) +
               get(id << 1 | 1, mid + 1, r, x1, y1, x2, y2);
    }
} cntV, cntErow, cntEcol, cntEcrs, cntF;
 
int r, c;
string s;
 
set <ii> river;
map<int, bool> isRiver[N];
 
void init(int R, int C, int sr, int sc, int M, char *S) {
  	r = R;
  	c = C;
	isRiver[sr][sc] = 1;
    river.insert(mp(sr, sc));
    for(int i = 0; i < M; i++){
      	char ch = S[i];
        if (ch == 'N')
            sr--;
        if (ch == 'S')
            sr++;
        if (ch == 'W')
            sc--;
        if (ch == 'E')
            sc++;
        isRiver[sr][sc] = 1;
        river.insert(mp(sr, sc));
    }
 
    for(ii p : river){
        int x = p.X;
        int y = p.Y;
        cntV.add(1, 1, r, x, y);
        if (isRiver[x + 1][y])
            cntErow.add(1, 1, r, x, y);
        if (isRiver[x][y + 1])
            cntEcol.add(1, 1, r, x, y);
        if (isRiver[x + 1][y + 1] && !isRiver[x][y + 1] && !isRiver[x + 1][y])
            cntEcrs.add(1, 1, r, x, y);
        if (isRiver[x + 1][y - 1] && !isRiver[x][y - 1] && !isRiver[x + 1][y])
            cntEcrs.add(1, 1, r, x, y - 1);
        if (isRiver[x + 1][y] && isRiver[x][y + 1] && isRiver[x + 1][y + 1])
            cntF.add(1, 1, r, x, y);
    }
    cntV.normalize(1, 1, r);
    cntErow.normalize(1, 1, r);
    cntEcol.normalize(1, 1, r);
    cntEcrs.normalize(1, 1, r);
    cntF.normalize(1, 1, r);
}
 
int colour(int ar, int ac, int br, int bc){
    if (cntV.get(1, 1, r, ar, ac, br, bc) == 0)
        return 1;
    if (cntV.get(1, 1, r, ar, ac, br, bc) == (ll) (br - ar + 1) * (bc - ac + 1))
        return 0;
 
    int v = 2 * (br - ar + bc - ac + 4) + cntV.get(1, 1, r, ar, ac, br, bc);
    int e = 2 * (br - ar + bc - ac + 4) +
            cntErow.get(1, 1, r, ar, ac, br - 1, bc) +
            cntEcol.get(1, 1, r, ar, ac, br, bc - 1) +
            cntEcrs.get(1, 1, r, ar, ac, br - 1, bc - 1);
    int f = cntF.get(1, 1, r, ar, ac, br - 1, bc - 1) + 1;
    int c = 1;
    if (cntV.get(1, 1, r, ar, ac, br, bc) - cntV.get(1, 1, r, ar + 1, ac + 1, br - 1, bc - 1) == 0
        && cntV.get(1, 1, r, ar + 1, ac + 1, br - 1, bc - 1) > 0)
            c++;
 
    if (ar == br && ac == bc){
        if (isRiver[ar][ac]){
            e += 4;
            f += 4;
        }
    } else if (ar == br){
        if (isRiver[ar][ac]){
            e += 3;
            f += 2;
        }
        if (isRiver[ar][bc]){
            e += 3;
            f += 2;
        }
        e += cntV.get(1, 1, r, ar, ac + 1, br, bc - 1) * 2;
        f += 2 * cntEcol.get(1, 1, r, ar, ac, br, bc - 1);
    } else if (ac == bc){
        if (isRiver[ar][ac]){
            e += 3;
            f += 2;
        }
        if (isRiver[br][ac]){
            e += 3;
            f += 2;
        }
        e += cntV.get(1, 1, r, ar + 1, ac, br - 1, bc) * 2;
        f += 2 * cntErow.get(1, 1, r, ar, ac, br - 1, bc);
    } else {
        if (isRiver[ar][ac]){
            e += 2;
            f += 1;
        }
        if (isRiver[ar][bc]){
            e += 2;
            f += 1;
        }
        if (isRiver[br][ac]){
            e += 2;
            f += 1;
        }
        if (isRiver[br][bc]){
            e += 2;
            f += 1;
        }
        e += cntV.get(1, 1, r, ar, ac + 1, ar, bc - 1) + cntV.get(1, 1, r, br, ac + 1, br, bc - 1) +
             cntV.get(1, 1, r, ar + 1, ac, br - 1, ac) + cntV.get(1, 1, r, ar + 1, bc, br - 1, bc);
        f += cntEcol.get(1, 1, r, ar, ac, ar, bc - 1) + cntEcol.get(1, 1, r, br, ac, br, bc - 1) +
             cntErow.get(1, 1, r, ar, ac, br - 1, ac) + cntErow.get(1, 1, r, ar, bc, br - 1, bc);
    }
    return e + c - v + 1 - f;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 103800 KB Output is correct
2 Correct 76 ms 103960 KB Output is correct
3 Correct 72 ms 103800 KB Output is correct
4 Correct 72 ms 103756 KB Output is correct
5 Correct 77 ms 104060 KB Output is correct
6 Correct 69 ms 103676 KB Output is correct
7 Correct 70 ms 103700 KB Output is correct
8 Correct 69 ms 103652 KB Output is correct
9 Correct 69 ms 103800 KB Output is correct
10 Correct 70 ms 103672 KB Output is correct
11 Correct 74 ms 103928 KB Output is correct
12 Correct 76 ms 104056 KB Output is correct
13 Correct 76 ms 103928 KB Output is correct
14 Correct 78 ms 104088 KB Output is correct
15 Correct 69 ms 103672 KB Output is correct
16 Correct 70 ms 103672 KB Output is correct
17 Correct 69 ms 103672 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 103672 KB Output is correct
2 Correct 69 ms 103672 KB Output is correct
3 Correct 428 ms 121328 KB Output is correct
4 Correct 621 ms 130652 KB Output is correct
5 Correct 632 ms 130016 KB Output is correct
6 Correct 444 ms 123104 KB Output is correct
7 Correct 500 ms 121704 KB Output is correct
8 Correct 216 ms 113144 KB Output is correct
9 Correct 604 ms 127972 KB Output is correct
10 Correct 605 ms 127840 KB Output is correct
11 Correct 510 ms 123532 KB Output is correct
12 Correct 288 ms 121956 KB Output is correct
13 Correct 270 ms 123060 KB Output is correct
14 Correct 284 ms 123232 KB Output is correct
15 Correct 285 ms 119904 KB Output is correct
16 Correct 431 ms 123740 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 103672 KB Output is correct
2 Correct 315 ms 132404 KB Output is correct
3 Correct 350 ms 149592 KB Output is correct
4 Correct 353 ms 144612 KB Output is correct
5 Correct 267 ms 134364 KB Output is correct
6 Correct 189 ms 114756 KB Output is correct
7 Correct 303 ms 124440 KB Output is correct
8 Correct 190 ms 119396 KB Output is correct
9 Correct 191 ms 118756 KB Output is correct
10 Correct 178 ms 113016 KB Output is correct
11 Correct 234 ms 120280 KB Output is correct
12 Correct 315 ms 132404 KB Output is correct
13 Correct 350 ms 149472 KB Output is correct
14 Correct 349 ms 144480 KB Output is correct
15 Correct 265 ms 134376 KB Output is correct
16 Correct 172 ms 112760 KB Output is correct
17 Correct 297 ms 124988 KB Output is correct
18 Correct 341 ms 135332 KB Output is correct
19 Correct 321 ms 141528 KB Output is correct
20 Correct 325 ms 141528 KB Output is correct
21 Correct 189 ms 119484 KB Output is correct
22 Correct 193 ms 118900 KB Output is correct
23 Correct 177 ms 113144 KB Output is correct
24 Correct 232 ms 120280 KB Output is correct
25 Correct 315 ms 132524 KB Output is correct
26 Correct 349 ms 149544 KB Output is correct
27 Correct 351 ms 144480 KB Output is correct
28 Correct 269 ms 134376 KB Output is correct
29 Correct 169 ms 112888 KB Output is correct
30 Correct 302 ms 124856 KB Output is correct
31 Correct 343 ms 135324 KB Output is correct
32 Correct 322 ms 141532 KB Output is correct
33 Correct 325 ms 141400 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 103800 KB Output is correct
2 Correct 76 ms 103960 KB Output is correct
3 Correct 72 ms 103800 KB Output is correct
4 Correct 72 ms 103756 KB Output is correct
5 Correct 77 ms 104060 KB Output is correct
6 Correct 69 ms 103676 KB Output is correct
7 Correct 70 ms 103700 KB Output is correct
8 Correct 69 ms 103652 KB Output is correct
9 Correct 69 ms 103800 KB Output is correct
10 Correct 70 ms 103672 KB Output is correct
11 Correct 74 ms 103928 KB Output is correct
12 Correct 76 ms 104056 KB Output is correct
13 Correct 76 ms 103928 KB Output is correct
14 Correct 78 ms 104088 KB Output is correct
15 Correct 69 ms 103672 KB Output is correct
16 Correct 70 ms 103672 KB Output is correct
17 Correct 69 ms 103672 KB Output is correct
18 Correct 1903 ms 135280 KB Output is correct
19 Correct 252 ms 109344 KB Output is correct
20 Correct 239 ms 107640 KB Output is correct
21 Correct 225 ms 108408 KB Output is correct
22 Correct 217 ms 108536 KB Output is correct
23 Correct 236 ms 109176 KB Output is correct
24 Correct 380 ms 107896 KB Output is correct
25 Correct 311 ms 108796 KB Output is correct
26 Correct 260 ms 109176 KB Output is correct
27 Correct 692 ms 126052 KB Output is correct
28 Correct 889 ms 125688 KB Output is correct
29 Correct 866 ms 128220 KB Output is correct
30 Correct 1151 ms 138848 KB Output is correct
31 Correct 75 ms 103800 KB Output is correct
32 Correct 1330 ms 118764 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 103800 KB Output is correct
2 Correct 76 ms 103960 KB Output is correct
3 Correct 72 ms 103800 KB Output is correct
4 Correct 72 ms 103756 KB Output is correct
5 Correct 77 ms 104060 KB Output is correct
6 Correct 69 ms 103676 KB Output is correct
7 Correct 70 ms 103700 KB Output is correct
8 Correct 69 ms 103652 KB Output is correct
9 Correct 69 ms 103800 KB Output is correct
10 Correct 70 ms 103672 KB Output is correct
11 Correct 74 ms 103928 KB Output is correct
12 Correct 76 ms 104056 KB Output is correct
13 Correct 76 ms 103928 KB Output is correct
14 Correct 78 ms 104088 KB Output is correct
15 Correct 69 ms 103672 KB Output is correct
16 Correct 70 ms 103672 KB Output is correct
17 Correct 69 ms 103672 KB Output is correct
18 Correct 1903 ms 135280 KB Output is correct
19 Correct 252 ms 109344 KB Output is correct
20 Correct 239 ms 107640 KB Output is correct
21 Correct 225 ms 108408 KB Output is correct
22 Correct 217 ms 108536 KB Output is correct
23 Correct 236 ms 109176 KB Output is correct
24 Correct 380 ms 107896 KB Output is correct
25 Correct 311 ms 108796 KB Output is correct
26 Correct 260 ms 109176 KB Output is correct
27 Correct 692 ms 126052 KB Output is correct
28 Correct 889 ms 125688 KB Output is correct
29 Correct 866 ms 128220 KB Output is correct
30 Correct 1151 ms 138848 KB Output is correct
31 Correct 75 ms 103800 KB Output is correct
32 Correct 1330 ms 118764 KB Output is correct
33 Correct 315 ms 132404 KB Output is correct
34 Correct 350 ms 149592 KB Output is correct
35 Correct 353 ms 144612 KB Output is correct
36 Correct 267 ms 134364 KB Output is correct
37 Correct 189 ms 114756 KB Output is correct
38 Correct 303 ms 124440 KB Output is correct
39 Correct 190 ms 119396 KB Output is correct
40 Correct 191 ms 118756 KB Output is correct
41 Correct 178 ms 113016 KB Output is correct
42 Correct 234 ms 120280 KB Output is correct
43 Correct 315 ms 132404 KB Output is correct
44 Correct 350 ms 149472 KB Output is correct
45 Correct 349 ms 144480 KB Output is correct
46 Correct 265 ms 134376 KB Output is correct
47 Correct 172 ms 112760 KB Output is correct
48 Correct 297 ms 124988 KB Output is correct
49 Correct 341 ms 135332 KB Output is correct
50 Correct 321 ms 141528 KB Output is correct
51 Correct 325 ms 141528 KB Output is correct
52 Correct 189 ms 119484 KB Output is correct
53 Correct 193 ms 118900 KB Output is correct
54 Correct 177 ms 113144 KB Output is correct
55 Correct 232 ms 120280 KB Output is correct
56 Correct 315 ms 132524 KB Output is correct
57 Correct 349 ms 149544 KB Output is correct
58 Correct 351 ms 144480 KB Output is correct
59 Correct 269 ms 134376 KB Output is correct
60 Correct 169 ms 112888 KB Output is correct
61 Correct 302 ms 124856 KB Output is correct
62 Correct 343 ms 135324 KB Output is correct
63 Correct 322 ms 141532 KB Output is correct
64 Correct 325 ms 141400 KB Output is correct
65 Correct 970 ms 126556 KB Output is correct
66 Correct 1130 ms 127468 KB Output is correct
67 Correct 913 ms 119288 KB Output is correct
68 Correct 1008 ms 135124 KB Output is correct
69 Correct 453 ms 140588 KB Output is correct
70 Correct 733 ms 157784 KB Output is correct
71 Correct 504 ms 149216 KB Output is correct
72 Correct 456 ms 140392 KB Output is correct
73 Correct 283 ms 120184 KB Output is correct
74 Correct 394 ms 129464 KB Output is correct
75 Correct 407 ms 138916 KB Output is correct
76 Correct 653 ms 151256 KB Output is correct
77 Correct 1233 ms 158552 KB Output is correct
78 Correct 428 ms 121328 KB Output is correct
79 Correct 621 ms 130652 KB Output is correct
80 Correct 632 ms 130016 KB Output is correct
81 Correct 444 ms 123104 KB Output is correct
82 Correct 500 ms 121704 KB Output is correct
83 Correct 216 ms 113144 KB Output is correct
84 Correct 604 ms 127972 KB Output is correct
85 Correct 605 ms 127840 KB Output is correct
86 Correct 510 ms 123532 KB Output is correct
87 Correct 288 ms 121956 KB Output is correct
88 Correct 270 ms 123060 KB Output is correct
89 Correct 284 ms 123232 KB Output is correct
90 Correct 285 ms 119904 KB Output is correct
91 Correct 431 ms 123740 KB Output is correct