Submission #274289

# Submission time Handle Problem Language Result Execution time Memory
274289 2020-08-19T10:48:52 Z srvlt Land of the Rainbow Gold (APIO17_rainbow) C++14
100 / 100
1746 ms 301832 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define all(x) begin(x), end(x)
#define SZ(x) (int)(x).size()
#define cps(x) sort(all(x)), (x).erase(unique(all(x)), end(x))
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#include "rainbow.h"

int r, c;
map <array <int, 2>, int> used[3];

struct Node {
	int n;
	vector <int> xv, val, val_cell;
	vector <array <int, 2>> pt;
	void add(int x, int v) {
		xv.pb(x);
		pt.pb({x, v});
	}
	int pos(int x) {
		return (int)(lower_bound(all(xv), x) - begin(xv));
	}
	void build() {
		cps(xv);
		n = SZ(xv);
		val.resize(n), val_cell.resize(n);
		for (auto & i : pt) {
			int x = pos(i[0]);
			if (i[1] == 0) val[x]--;
			if (i[1] == 1) val[x]++;
			if (i[1] == 2) val_cell[x]++;
		}
		for (int i = 1; i < n; i++) {
			val[i] += val[i - 1];
			val_cell[i] += val_cell[i - 1];
		}
	}
	int get(int l, int r) {
		l = pos(l), r = pos(r + 1) - 1;
		if (l > r) return 0;
		if (l == 0) return val[r];
		return val[r] - val[l - 1];
	}
	int get_cell(int l, int r) {
		l = pos(l), r = pos(r + 1) - 1;
		if (l > r) return 0;
		if (l == 0) return val_cell[r];
		return val_cell[r] - val_cell[l - 1];
	}
};

struct SegTree {
	int n;
	vector <int> xv;
	vector <array <int, 3>> pt;
	vector <Node> nd;
	int pos(int x) {
		return (int)(lower_bound(all(xv), x) - xv.begin());
	}
	void add(int x, int y, int v) {
		for (x += n; x > 0; x >>= 1) nd[x].add(y, v);
	}
	void build() {
		for (auto & i : pt) xv.pb(i[0]);
		cps(xv);
		n = 1;
		while (n < SZ(xv)) n <<= 1;
		nd.resize(n << 1);
		for (auto & i : pt) {
			int x = pos(i[0]);
			add(x, i[1], i[2]);
		}
		for (int i = 1; i < (n << 1); i++) nd[i].build();
	}
	int get(int l, int r, int l2, int r2) {
		l = pos(l), r = pos(r + 1);
		if (l > r || l2 > r2) return 0;
		int res = 0;
		for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
			if (r & 1) res += nd[--r].get(l2, r2);
			if (l & 1) res += nd[l++].get(l2, r2);
		}
		return res;
	}
	int get_cell(int l, int r, int l2, int r2) {
		l = pos(l), r = pos(r + 1);
		if (l > r || l2 > r2) return 0;
		int res = 0;
		for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
			if (r & 1) res += nd[--r].get_cell(l2, r2);
			if (l & 1) res += nd[l++].get_cell(l2, r2);
		}
		return res;
	}
};
SegTree plane;

void set_pt(int x, int y) {
	if (used[0].count({x, y})) return;
	used[0][{x, y}] = 1;
	plane.pt.pb({x, y, 0});
}

void set_edge(int x, int y) {
	if (used[1].count({x, y})) return;
	used[1][{x, y}] = 1;
	plane.pt.pb({x, y, 1});
}

void set_cell(int x, int y) {
	if (used[2].count({x, y})) return;
	used[2][{x, y}] = 1;
	plane.pt.pb({x, y, 2});
}

void add(int x, int y) {
	x *= 2, y *= 2;
	set_cell(x - 1, y - 1);
	set_pt(x, y), set_pt(x - 2, y), set_pt(x, y - 2), set_pt(x - 2, y - 2);
	set_edge(x, y - 1), set_edge(x - 1, y), set_edge(x - 1, y - 2), set_edge(x - 2, y - 1);
}

void init(int R, int C, int sr, int sc, int M, char *S) {
	r = R, c = C;
	int x = sr, y = sc;
	add(x, y);
	for (int i = 0; i < M; i++) {
		if (S[i] == 'N') x--;
		if (S[i] == 'S') x++;
		if (S[i] == 'W') y--;
		if (S[i] == 'E') y++;
		add(x, y);
	}
	plane.build();
}

int colour(int ar, int ac, int br, int bc) {
	ar--, ac--;
	ar *= 2, ac *= 2, br *= 2, bc *= 2;
	int cells = plane.get_cell(ar, br, ac, bc);
	int nb_cells = plane.get_cell(ar + 2, br - 2, ac + 2, bc - 2);
	int C = 2;
	if (cells > nb_cells || cells == 0) C = 1;
    return C + plane.get(ar + 1, br - 1, ac + 1, bc - 1) - cells;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 9 ms 1460 KB Output is correct
3 Correct 3 ms 640 KB Output is correct
4 Correct 4 ms 640 KB Output is correct
5 Correct 10 ms 1664 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 5 ms 768 KB Output is correct
12 Correct 7 ms 1152 KB Output is correct
13 Correct 12 ms 2120 KB Output is correct
14 Correct 14 ms 2432 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 518 ms 57736 KB Output is correct
4 Correct 806 ms 94852 KB Output is correct
5 Correct 839 ms 92816 KB Output is correct
6 Correct 650 ms 71020 KB Output is correct
7 Correct 682 ms 70040 KB Output is correct
8 Correct 93 ms 1144 KB Output is correct
9 Correct 801 ms 93832 KB Output is correct
10 Correct 764 ms 92808 KB Output is correct
11 Correct 647 ms 71580 KB Output is correct
12 Correct 645 ms 86932 KB Output is correct
13 Correct 660 ms 94088 KB Output is correct
14 Correct 665 ms 93116 KB Output is correct
15 Correct 588 ms 71832 KB Output is correct
16 Correct 631 ms 66328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 586 ms 84212 KB Output is correct
3 Correct 1223 ms 301140 KB Output is correct
4 Correct 1448 ms 261956 KB Output is correct
5 Correct 1078 ms 206248 KB Output is correct
6 Correct 295 ms 31020 KB Output is correct
7 Correct 444 ms 56740 KB Output is correct
8 Correct 757 ms 90992 KB Output is correct
9 Correct 775 ms 84468 KB Output is correct
10 Correct 213 ms 22824 KB Output is correct
11 Correct 619 ms 73628 KB Output is correct
12 Correct 596 ms 84112 KB Output is correct
13 Correct 1214 ms 300948 KB Output is correct
14 Correct 1376 ms 262124 KB Output is correct
15 Correct 1065 ms 206252 KB Output is correct
16 Correct 226 ms 23596 KB Output is correct
17 Correct 441 ms 62048 KB Output is correct
18 Correct 1049 ms 157028 KB Output is correct
19 Correct 1488 ms 267548 KB Output is correct
20 Correct 1442 ms 267456 KB Output is correct
21 Correct 791 ms 91068 KB Output is correct
22 Correct 715 ms 84504 KB Output is correct
23 Correct 207 ms 22828 KB Output is correct
24 Correct 597 ms 73508 KB Output is correct
25 Correct 576 ms 84104 KB Output is correct
26 Correct 1238 ms 301268 KB Output is correct
27 Correct 1407 ms 262136 KB Output is correct
28 Correct 1039 ms 206232 KB Output is correct
29 Correct 224 ms 23596 KB Output is correct
30 Correct 444 ms 62116 KB Output is correct
31 Correct 956 ms 156964 KB Output is correct
32 Correct 1426 ms 267528 KB Output is correct
33 Correct 1423 ms 267400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 9 ms 1460 KB Output is correct
3 Correct 3 ms 640 KB Output is correct
4 Correct 4 ms 640 KB Output is correct
5 Correct 10 ms 1664 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 5 ms 768 KB Output is correct
12 Correct 7 ms 1152 KB Output is correct
13 Correct 12 ms 2120 KB Output is correct
14 Correct 14 ms 2432 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1111 ms 91160 KB Output is correct
19 Correct 191 ms 4216 KB Output is correct
20 Correct 159 ms 1784 KB Output is correct
21 Correct 172 ms 2424 KB Output is correct
22 Correct 177 ms 3320 KB Output is correct
23 Correct 193 ms 4284 KB Output is correct
24 Correct 212 ms 2296 KB Output is correct
25 Correct 224 ms 2808 KB Output is correct
26 Correct 210 ms 3704 KB Output is correct
27 Correct 672 ms 61324 KB Output is correct
28 Correct 469 ms 30760 KB Output is correct
29 Correct 645 ms 57888 KB Output is correct
30 Correct 1336 ms 157704 KB Output is correct
31 Correct 4 ms 384 KB Output is correct
32 Correct 867 ms 61756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 9 ms 1460 KB Output is correct
3 Correct 3 ms 640 KB Output is correct
4 Correct 4 ms 640 KB Output is correct
5 Correct 10 ms 1664 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 5 ms 768 KB Output is correct
12 Correct 7 ms 1152 KB Output is correct
13 Correct 12 ms 2120 KB Output is correct
14 Correct 14 ms 2432 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1111 ms 91160 KB Output is correct
19 Correct 191 ms 4216 KB Output is correct
20 Correct 159 ms 1784 KB Output is correct
21 Correct 172 ms 2424 KB Output is correct
22 Correct 177 ms 3320 KB Output is correct
23 Correct 193 ms 4284 KB Output is correct
24 Correct 212 ms 2296 KB Output is correct
25 Correct 224 ms 2808 KB Output is correct
26 Correct 210 ms 3704 KB Output is correct
27 Correct 672 ms 61324 KB Output is correct
28 Correct 469 ms 30760 KB Output is correct
29 Correct 645 ms 57888 KB Output is correct
30 Correct 1336 ms 157704 KB Output is correct
31 Correct 4 ms 384 KB Output is correct
32 Correct 867 ms 61756 KB Output is correct
33 Correct 586 ms 84212 KB Output is correct
34 Correct 1223 ms 301140 KB Output is correct
35 Correct 1448 ms 261956 KB Output is correct
36 Correct 1078 ms 206248 KB Output is correct
37 Correct 295 ms 31020 KB Output is correct
38 Correct 444 ms 56740 KB Output is correct
39 Correct 757 ms 90992 KB Output is correct
40 Correct 775 ms 84468 KB Output is correct
41 Correct 213 ms 22824 KB Output is correct
42 Correct 619 ms 73628 KB Output is correct
43 Correct 596 ms 84112 KB Output is correct
44 Correct 1214 ms 300948 KB Output is correct
45 Correct 1376 ms 262124 KB Output is correct
46 Correct 1065 ms 206252 KB Output is correct
47 Correct 226 ms 23596 KB Output is correct
48 Correct 441 ms 62048 KB Output is correct
49 Correct 1049 ms 157028 KB Output is correct
50 Correct 1488 ms 267548 KB Output is correct
51 Correct 1442 ms 267456 KB Output is correct
52 Correct 791 ms 91068 KB Output is correct
53 Correct 715 ms 84504 KB Output is correct
54 Correct 207 ms 22828 KB Output is correct
55 Correct 597 ms 73508 KB Output is correct
56 Correct 576 ms 84104 KB Output is correct
57 Correct 1238 ms 301268 KB Output is correct
58 Correct 1407 ms 262136 KB Output is correct
59 Correct 1039 ms 206232 KB Output is correct
60 Correct 224 ms 23596 KB Output is correct
61 Correct 444 ms 62116 KB Output is correct
62 Correct 956 ms 156964 KB Output is correct
63 Correct 1426 ms 267528 KB Output is correct
64 Correct 1423 ms 267400 KB Output is correct
65 Correct 1018 ms 91784 KB Output is correct
66 Correct 1112 ms 85148 KB Output is correct
67 Correct 481 ms 23848 KB Output is correct
68 Correct 835 ms 74264 KB Output is correct
69 Correct 702 ms 84872 KB Output is correct
70 Correct 1476 ms 301832 KB Output is correct
71 Correct 1576 ms 262840 KB Output is correct
72 Correct 1215 ms 207004 KB Output is correct
73 Correct 337 ms 24360 KB Output is correct
74 Correct 533 ms 62764 KB Output is correct
75 Correct 1066 ms 157836 KB Output is correct
76 Correct 1695 ms 268444 KB Output is correct
77 Correct 1746 ms 268128 KB Output is correct
78 Correct 518 ms 57736 KB Output is correct
79 Correct 806 ms 94852 KB Output is correct
80 Correct 839 ms 92816 KB Output is correct
81 Correct 650 ms 71020 KB Output is correct
82 Correct 682 ms 70040 KB Output is correct
83 Correct 93 ms 1144 KB Output is correct
84 Correct 801 ms 93832 KB Output is correct
85 Correct 764 ms 92808 KB Output is correct
86 Correct 647 ms 71580 KB Output is correct
87 Correct 645 ms 86932 KB Output is correct
88 Correct 660 ms 94088 KB Output is correct
89 Correct 665 ms 93116 KB Output is correct
90 Correct 588 ms 71832 KB Output is correct
91 Correct 631 ms 66328 KB Output is correct