oj.uz

Submission #433505

# Submission time Handle Problem Language Result Execution time Memory
433505 2021-06-19T23:30:44 Z rqi Land of the Rainbow Gold (APIO17_rainbow) C++14
100 / 100
 1078 ms 139072 KB 
#include "rainbow.h"
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef vector<int> vi;
typedef vector<pi> vpi;

#define mp make_pair
#define f first
#define s second
#define ins insert
#define pb push_back

#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()

void ckmin(int& a, int b){
	a = min(a, b);
}

void ckmax(int& a, int b){
	a = max(a, b);
}

vector<char> dchar = vector<char>{'S', 'E', 'N', 'W'};
vi dx = vi{1, 0, -1, 0};
vi dy = vi{0, 1, 0, -1};

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

struct hashFunc{
	size_t operator()(pi a) const {
		ll res = ll(a.f)*200005+ll(a.s);
		ll BIG_RAND = 102923014203249LL;
		return __builtin_bswap64((unsigned long long)(res)*BIG_RAND);
	}
};

const int mx = 200005;

struct Off2DBIT{
	ll bt[mx*20];
	vi all_ys;
	int begin_index[mx];
	int num[mx];

	vpi all_updates;
	void update(int X, int Y){
		all_updates.pb(mp(X, Y));
	}

	

	void UPD(int X, int Y){
		for(int i = X; i < mx; i+=i&-i){
			int pos = lower_bound(begin(all_ys)+begin_index[i], begin(all_ys)+begin_index[i]+num[i], Y)-begin(all_ys)-begin_index[i]+1;
			for(int j = pos; j <= num[i]; j+=j&-j){
				bt[begin_index[i]-1+j]++;
			}
		}
	}

	vi to_add_ys[mx];
	int last_num[mx];

	void initBT(){
		// cout << "all_updates: " << "\n";
		// for(const auto& u: all_updates){
		// 	cout << u.f << " " << u.s << "\n";
		// }
		for(auto &u: all_updates){
			swap(u.s, u.f);
		}
		sort(all(all_updates));

		for(const auto& u: all_updates){
			for(int i = u.s; i < mx; i+=i&-i){
				if(last_num[i] != u.f){
					last_num[i] = u.f;
					to_add_ys[i].pb(u.f);
				}
			}
		}

		int cur = 0;
		for(int i = 1; i < mx; i++){
			begin_index[i] = cur;
			num[i] = sz(to_add_ys[i]);
			for(const auto& u: to_add_ys[i]){
				all_ys.pb(u);
			}
			vi v;
			swap(to_add_ys[i], v);
			cur+=num[i];
		}

		for(auto &u: all_updates){
			swap(u.s, u.f);
		}

		for(const auto& u: all_updates){
			UPD(u.f, u.s);
		}

		// cout << "all_ys: ";
		// for(auto u: all_ys){
		// 	cout << u << " ";
		// }
		// cout << "\n";
		// for(int i = 1; i < 5; i++){
		// 	cout << i << " " << begin_index[i] << " " << num[i] << "\n";
		// }
		// cout << "\n";
	}

	ll sum(int x_coor, int y_coor){
		ll res = 0;
		for(int i = x_coor; i > 0; i-=i&-i){
			int pos = upper_bound(begin(all_ys)+begin_index[i], begin(all_ys)+begin_index[i]+num[i], y_coor)-begin(all_ys)-begin_index[i];
			for(int j = pos; j > 0; j-=j&-j){
				res+=bt[begin_index[i]-1+j];
			}
		}

		// cout << "sum(" << x_coor << ", " << y_coor << "): " << res << "\n";
		return res;
	}

	ll query(int xl, int yl, int xr, int yr){
		return sum(xr, yr)-sum(xl-1, yr)-sum(xr, yl-1)+sum(xl-1, yl-1);
	}

	// ll query(int xl, int yl, int xr, int yr){
	// 	ll res = 0;
	// 	for(auto& u: all_updates){
	// 		if(xl <= u.f && u.f <= xr && yl <= u.s && u.s <= yr){
	// 			res++;
	// 		}
	// 	}
	// 	return res;
	// }
};

Off2DBIT bits[2][2];
gp_hash_table<pi, null_type, hashFunc> rects[4];

int min_sr, max_sr, min_sc, max_sc;

void init(int R, int C, int sr, int sc, int M, char *S) {
	min_sr = sr;
	min_sc = sc;
	max_sr = sr;
	max_sc = sc;
	for(int i = 0; i <= M; i++){
		for(int i = 0; i <= 1; i++){
			for(int j = 0; j <= 1; j++){
				for(int xl = sr-i; xl <= sr; xl++){
					for(int yl = sc-j; yl <= sc; yl++){
						if(1 <= xl && 1 <= yl){
							rects[2*i+j][mp(xl, yl)];
						}
					}
				}
			}
		}
		if(i < M){
			for(int d = 0; d < 4; d++){
				if(S[i] == dchar[d]){
					sr+=dx[d];
					sc+=dy[d];
					break;
				}
			}
		}

		ckmin(min_sr, sr);
		ckmin(min_sc, sc);
		ckmax(max_sr, sr);
		ckmax(max_sc, sc);
	}

	for(int i = 0; i <= 1; i++){
		for(int j = 0; j <= 1; j++){
			// cout << "i, j = " << i << ", " << j << "\n";
			for(auto u: rects[2*i+j]){
				// cout << "RECT " << i << " " << j << " " << u.f << " " << u.s << "\n";
				bits[i][j].update(u.f, u.s);
			}
		}
	}

	for(int i = 0; i <= 1; i++){
		for(int j = 0; j <= 1; j++){
			bits[i][j].initBT();
		}
	}
}

int colour(int ar, int ac, int br, int bc) {
	ll ans = 0;
	if(ar+1 <= min_sr && max_sr+1 <= br && ac+1 <= min_sc && max_sc+1 <= bc){
		ans++;
	}
	
	for(int i = 0; i <= 1; i++){
		for(int j = 0; j <= 1; j++){
			ll val = ll(br-i-ar+1)*ll(bc-j-ac+1);
			// cout << "val: " << val << "\n";
			// cout << "querying " << i << " " << j << "\n";
			val-=bits[i][j].query(ar, ac, br-i, bc-j);
			if((i+j) % 2 == 0){
				ans+=val;
			}
			else{
				ans-=val;
			}

			// cout << i << " " << j << " " << val << "\n";
		}
	}
    return (int)(ans);
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 25548 KB Output is correct
2 Correct 30 ms 25832 KB Output is correct
3 Correct 23 ms 25680 KB Output is correct
4 Correct 22 ms 25676 KB Output is correct
5 Correct 24 ms 25932 KB Output is correct
6 Correct 19 ms 25420 KB Output is correct
7 Correct 19 ms 25436 KB Output is correct
8 Correct 20 ms 25420 KB Output is correct
9 Correct 22 ms 25420 KB Output is correct
10 Correct 19 ms 25420 KB Output is correct
11 Correct 23 ms 25584 KB Output is correct
12 Correct 27 ms 25804 KB Output is correct
13 Correct 28 ms 26096 KB Output is correct
14 Correct 27 ms 26192 KB Output is correct
15 Correct 22 ms 25420 KB Output is correct
16 Correct 21 ms 25464 KB Output is correct
17 Correct 20 ms 25460 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 25464 KB Output is correct
2 Correct 20 ms 25460 KB Output is correct
3 Correct 620 ms 90680 KB Output is correct
4 Correct 954 ms 139072 KB Output is correct
5 Correct 954 ms 132536 KB Output is correct
6 Correct 784 ms 89100 KB Output is correct
7 Correct 742 ms 89204 KB Output is correct
8 Correct 107 ms 29172 KB Output is correct
9 Correct 992 ms 138456 KB Output is correct
10 Correct 991 ms 131780 KB Output is correct
11 Correct 758 ms 89252 KB Output is correct
12 Correct 804 ms 134452 KB Output is correct
13 Correct 910 ms 138992 KB Output is correct
14 Correct 847 ms 131744 KB Output is correct
15 Correct 680 ms 89136 KB Output is correct
16 Correct 677 ms 111532 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 25420 KB Output is correct
2 Correct 535 ms 94336 KB Output is correct
3 Correct 280 ms 65036 KB Output is correct
4 Correct 642 ms 90604 KB Output is correct
5 Correct 366 ms 69448 KB Output is correct
6 Correct 113 ms 32144 KB Output is correct
7 Correct 163 ms 38364 KB Output is correct
8 Correct 609 ms 86796 KB Output is correct
9 Correct 537 ms 73700 KB Output is correct
10 Correct 105 ms 34564 KB Output is correct
11 Correct 272 ms 52296 KB Output is correct
12 Correct 572 ms 94400 KB Output is correct
13 Correct 286 ms 64964 KB Output is correct
14 Correct 639 ms 90648 KB Output is correct
15 Correct 347 ms 69360 KB Output is correct
16 Correct 89 ms 31524 KB Output is correct
17 Correct 178 ms 38416 KB Output is correct
18 Correct 485 ms 64920 KB Output is correct
19 Correct 448 ms 81876 KB Output is correct
20 Correct 479 ms 83268 KB Output is correct
21 Correct 614 ms 86624 KB Output is correct
22 Correct 561 ms 73752 KB Output is correct
23 Correct 104 ms 34656 KB Output is correct
24 Correct 275 ms 52320 KB Output is correct
25 Correct 567 ms 94348 KB Output is correct
26 Correct 280 ms 65080 KB Output is correct
27 Correct 638 ms 90660 KB Output is correct
28 Correct 349 ms 69408 KB Output is correct
29 Correct 89 ms 31388 KB Output is correct
30 Correct 180 ms 38328 KB Output is correct
31 Correct 424 ms 65008 KB Output is correct
32 Correct 438 ms 81808 KB Output is correct
33 Correct 466 ms 83352 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 25548 KB Output is correct
2 Correct 30 ms 25832 KB Output is correct
3 Correct 23 ms 25680 KB Output is correct
4 Correct 22 ms 25676 KB Output is correct
5 Correct 24 ms 25932 KB Output is correct
6 Correct 19 ms 25420 KB Output is correct
7 Correct 19 ms 25436 KB Output is correct
8 Correct 20 ms 25420 KB Output is correct
9 Correct 22 ms 25420 KB Output is correct
10 Correct 19 ms 25420 KB Output is correct
11 Correct 23 ms 25584 KB Output is correct
12 Correct 27 ms 25804 KB Output is correct
13 Correct 28 ms 26096 KB Output is correct
14 Correct 27 ms 26192 KB Output is correct
15 Correct 22 ms 25420 KB Output is correct
16 Correct 21 ms 25464 KB Output is correct
17 Correct 20 ms 25460 KB Output is correct
18 Correct 729 ms 45176 KB Output is correct
19 Correct 280 ms 28256 KB Output is correct
20 Correct 194 ms 26512 KB Output is correct
21 Correct 223 ms 26692 KB Output is correct
22 Correct 266 ms 27092 KB Output is correct
23 Correct 253 ms 28280 KB Output is correct
24 Correct 230 ms 26536 KB Output is correct
25 Correct 246 ms 26836 KB Output is correct
26 Correct 248 ms 27084 KB Output is correct
27 Correct 412 ms 43444 KB Output is correct
28 Correct 339 ms 33132 KB Output is correct
29 Correct 432 ms 39072 KB Output is correct
30 Correct 762 ms 65616 KB Output is correct
31 Correct 23 ms 25540 KB Output is correct
32 Correct 533 ms 47884 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 25548 KB Output is correct
2 Correct 30 ms 25832 KB Output is correct
3 Correct 23 ms 25680 KB Output is correct
4 Correct 22 ms 25676 KB Output is correct
5 Correct 24 ms 25932 KB Output is correct
6 Correct 19 ms 25420 KB Output is correct
7 Correct 19 ms 25436 KB Output is correct
8 Correct 20 ms 25420 KB Output is correct
9 Correct 22 ms 25420 KB Output is correct
10 Correct 19 ms 25420 KB Output is correct
11 Correct 23 ms 25584 KB Output is correct
12 Correct 27 ms 25804 KB Output is correct
13 Correct 28 ms 26096 KB Output is correct
14 Correct 27 ms 26192 KB Output is correct
15 Correct 22 ms 25420 KB Output is correct
16 Correct 21 ms 25464 KB Output is correct
17 Correct 20 ms 25460 KB Output is correct
18 Correct 729 ms 45176 KB Output is correct
19 Correct 280 ms 28256 KB Output is correct
20 Correct 194 ms 26512 KB Output is correct
21 Correct 223 ms 26692 KB Output is correct
22 Correct 266 ms 27092 KB Output is correct
23 Correct 253 ms 28280 KB Output is correct
24 Correct 230 ms 26536 KB Output is correct
25 Correct 246 ms 26836 KB Output is correct
26 Correct 248 ms 27084 KB Output is correct
27 Correct 412 ms 43444 KB Output is correct
28 Correct 339 ms 33132 KB Output is correct
29 Correct 432 ms 39072 KB Output is correct
30 Correct 762 ms 65616 KB Output is correct
31 Correct 23 ms 25540 KB Output is correct
32 Correct 533 ms 47884 KB Output is correct
33 Correct 535 ms 94336 KB Output is correct
34 Correct 280 ms 65036 KB Output is correct
35 Correct 642 ms 90604 KB Output is correct
36 Correct 366 ms 69448 KB Output is correct
37 Correct 113 ms 32144 KB Output is correct
38 Correct 163 ms 38364 KB Output is correct
39 Correct 609 ms 86796 KB Output is correct
40 Correct 537 ms 73700 KB Output is correct
41 Correct 105 ms 34564 KB Output is correct
42 Correct 272 ms 52296 KB Output is correct
43 Correct 572 ms 94400 KB Output is correct
44 Correct 286 ms 64964 KB Output is correct
45 Correct 639 ms 90648 KB Output is correct
46 Correct 347 ms 69360 KB Output is correct
47 Correct 89 ms 31524 KB Output is correct
48 Correct 178 ms 38416 KB Output is correct
49 Correct 485 ms 64920 KB Output is correct
50 Correct 448 ms 81876 KB Output is correct
51 Correct 479 ms 83268 KB Output is correct
52 Correct 614 ms 86624 KB Output is correct
53 Correct 561 ms 73752 KB Output is correct
54 Correct 104 ms 34656 KB Output is correct
55 Correct 275 ms 52320 KB Output is correct
56 Correct 567 ms 94348 KB Output is correct
57 Correct 280 ms 65080 KB Output is correct
58 Correct 638 ms 90660 KB Output is correct
59 Correct 349 ms 69408 KB Output is correct
60 Correct 89 ms 31388 KB Output is correct
61 Correct 180 ms 38328 KB Output is correct
62 Correct 424 ms 65008 KB Output is correct
63 Correct 438 ms 81808 KB Output is correct
64 Correct 466 ms 83352 KB Output is correct
65 Correct 620 ms 90680 KB Output is correct
66 Correct 954 ms 139072 KB Output is correct
67 Correct 954 ms 132536 KB Output is correct
68 Correct 784 ms 89100 KB Output is correct
69 Correct 742 ms 89204 KB Output is correct
70 Correct 107 ms 29172 KB Output is correct
71 Correct 992 ms 138456 KB Output is correct
72 Correct 991 ms 131780 KB Output is correct
73 Correct 758 ms 89252 KB Output is correct
74 Correct 804 ms 134452 KB Output is correct
75 Correct 910 ms 138992 KB Output is correct
76 Correct 847 ms 131744 KB Output is correct
77 Correct 680 ms 89136 KB Output is correct
78 Correct 677 ms 111532 KB Output is correct
79 Correct 1029 ms 90192 KB Output is correct
80 Correct 1038 ms 77352 KB Output is correct
81 Correct 402 ms 38232 KB Output is correct
82 Correct 624 ms 55736 KB Output is correct
83 Correct 1022 ms 97988 KB Output is correct
84 Correct 596 ms 68668 KB Output is correct
85 Correct 1078 ms 94400 KB Output is correct
86 Correct 689 ms 72924 KB Output is correct
87 Correct 297 ms 35016 KB Output is correct
88 Correct 488 ms 42080 KB Output is correct
89 Correct 651 ms 68444 KB Output is correct
90 Correct 857 ms 85544 KB Output is correct
91 Correct 733 ms 86808 KB Output is correct