oj.uz

Submission #128786

# Submission time Handle Problem Language Result Execution time Memory
128786 2019-07-11T09:30:32 Z imyujin None (JOI16_ho_t4) C++14
100 / 100
 336 ms 56164 KB 
#include <stdio.h>
#include <vector>
#include <algorithm>

using namespace std;

#define MAXN 100005
#define fi first
#define se second

typedef long long lint;
typedef pair<lint, lint> pll;

const lint LINF = 1ll << 50;
const int mm[4][2] = {{0, 0}, {0, 1}, {1, 0}, {1, 1}};
char S[MAXN];
vector<pll> dot;
vector<pll> ty, ty2;
vector<lint> ds[MAXN];
vector<pll> cell, cs[4 * MAXN];
vector<lint> done[4 * MAXN];
lint A, B, ABs;

pll f(pll a) {
	return make_pair(B * a.fi - A * a.se, ((A * a.fi + B * a.se) % ABs + ABs) % ABs);
}

lint apbdis(pll a, pll b) {	//a < b
	return (A * (b.fi - a.fi) + B * (b.se - a.se)) / ABs;
}

int main() {
	int N, K;
	lint ans = 0ll;

	scanf("%d%d%s", &N, &K, S);

	dot.push_back(make_pair(0ll, 0ll));
	for(int i = 0; i < N; i++) {
		dot.push_back(dot.back());
		if(S[i] == 'W') dot[i + 1].fi--;
		else if(S[i] == 'E') dot[i + 1].fi++;
		else if(S[i] == 'N') dot[i + 1].se++;
		else dot[i + 1].se--;
	}
	for(int i = 0; i <= N; i++) for(int j = 0; j < 4; j++) 
		cell.push_back(make_pair(dot[i].fi - mm[j][0], dot[i].se - mm[j][1]));

	A = dot[N].fi;
	B = dot[N].se;
	ABs = A * A + B * B;
	if(A == 0 && B == 0) {
		sort(dot.begin(), dot.end());
		dot.resize(unique(dot.begin(), dot.end()) - dot.begin());
		sort(cell.begin(), cell.end());
		cell.resize(unique(cell.begin(), cell.end()) - cell.begin());

		int ans = 0;
		for(auto a : cell) {
			bool b = true;
			for(int j = 0; j < 4; j++) b &= binary_search(dot.begin(), dot.end(), make_pair(a.fi + mm[j][0], a.se + mm[j][1]));
			if(b) ans++;
		}
		printf("%d", ans);
		return 0;
	}

	for(auto a : dot) ty.push_back(f(a));
	sort(ty.begin(), ty.end());
	ty.resize(unique(ty.begin(), ty.end()) - ty.begin());
	for(auto a : dot) {
		int l = lower_bound(ty.begin(), ty.end(), f(a)) - ty.begin();
		ds[l].push_back(A * a.fi + B * a.se);
	}
	for(int i = 0; i < ty.size(); i++) {
		sort(ds[i].begin(), ds[i].end());
		ds[i].resize(unique(ds[i].begin(), ds[i].end()) - ds[i].begin());
	}

	for(auto a : cell) ty2.push_back(f(a));
	sort(ty2.begin(), ty2.end());
	ty2.resize(unique(ty2.begin(), ty2.end()) - ty2.begin());
	for(auto a : cell) {
		int l = lower_bound(ty2.begin(), ty2.end(), f(a)) - ty2.begin();
		cs[l].push_back(a);
	}
	for(int i = 0; i < ty2.size(); i++) {
		sort(cs[i].begin(), cs[i].end(), [&](pll a, pll b) { return A * a.fi + B * a.se < A * b.fi + B * b.se; } );
		cs[i].resize(unique(cs[i].begin(), cs[i].end()) - cs[i].begin());
	}

	for(int i = 0; i < ty2.size(); i++) for(int j = 0; j < cs[i].size(); j++) {
		done[i].push_back(0ll);
		for(int k = 0; k < 4; k++) {
			lint x = cs[i][j].fi + mm[k][0], y = cs[i][j].se + mm[k][1];
			pll nd = make_pair(x, y);
			int l = lower_bound(ty.begin(), ty.end(), f(nd)) - ty.begin();
			if(l == ty.size() || ty[l] != f(nd)) {
				done[i][j] = K;
				break;
			}
			lint ApB = A * x + B * y;
			int ll = upper_bound(ds[l].begin(), ds[l].end(), ApB) - ds[l].begin();
			if(ll == 0) {
				done[i][j] = K;
				break;
			}
			done[i][j] = max(done[i][j], (ApB - ds[l][ll - 1]) / ABs);
		}
		if(j > 0) done[i][j] = min(done[i][j - 1] + apbdis(cs[i][j - 1], cs[i][j]), done[i][j]);
		done[i][j] = min(done[i][j], (lint) K);
		ans += (j == 0 ? K : min(done[i][j - 1] + apbdis(cs[i][j - 1], cs[i][j]), (lint) K)) - done[i][j];
	}

	printf("%lld", ans);

	return 0;
}

Compilation message

2016_ho_t4.cpp: In function 'int main()':
2016_ho_t4.cpp:75:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < ty.size(); i++) {
                 ~~^~~~~~~~~~~
2016_ho_t4.cpp:87:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < ty2.size(); i++) {
                 ~~^~~~~~~~~~~~
2016_ho_t4.cpp:92:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < ty2.size(); i++) for(int j = 0; j < cs[i].size(); j++) {
                 ~~^~~~~~~~~~~~
2016_ho_t4.cpp:92:55: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < ty2.size(); i++) for(int j = 0; j < cs[i].size(); j++) {
                                                     ~~^~~~~~~~~~~~~~
2016_ho_t4.cpp:98:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(l == ty.size() || ty[l] != f(nd)) {
       ~~^~~~~~~~~~~~
2016_ho_t4.cpp:36:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d%s", &N, &K, S);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 21496 KB Output is correct
2 Correct 22 ms 21368 KB Output is correct
3 Correct 21 ms 21496 KB Output is correct
4 Correct 21 ms 21496 KB Output is correct
5 Correct 22 ms 21496 KB Output is correct
6 Correct 21 ms 21500 KB Output is correct
7 Correct 21 ms 21500 KB Output is correct
8 Correct 21 ms 21496 KB Output is correct
9 Correct 21 ms 21496 KB Output is correct
10 Correct 26 ms 21496 KB Output is correct
11 Correct 35 ms 21624 KB Output is correct
12 Correct 21 ms 21388 KB Output is correct
13 Correct 21 ms 21496 KB Output is correct
14 Correct 21 ms 21496 KB Output is correct
15 Correct 21 ms 21496 KB Output is correct
16 Correct 22 ms 21400 KB Output is correct
17 Correct 21 ms 21464 KB Output is correct
18 Correct 28 ms 21496 KB Output is correct
19 Correct 26 ms 21496 KB Output is correct
20 Correct 27 ms 21500 KB Output is correct
21 Correct 22 ms 21496 KB Output is correct
22 Correct 21 ms 21496 KB Output is correct
23 Correct 21 ms 21496 KB Output is correct
24 Correct 21 ms 21380 KB Output is correct
25 Correct 21 ms 21496 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 21496 KB Output is correct
2 Correct 22 ms 21368 KB Output is correct
3 Correct 21 ms 21496 KB Output is correct
4 Correct 21 ms 21496 KB Output is correct
5 Correct 22 ms 21496 KB Output is correct
6 Correct 21 ms 21500 KB Output is correct
7 Correct 21 ms 21500 KB Output is correct
8 Correct 21 ms 21496 KB Output is correct
9 Correct 21 ms 21496 KB Output is correct
10 Correct 26 ms 21496 KB Output is correct
11 Correct 35 ms 21624 KB Output is correct
12 Correct 21 ms 21388 KB Output is correct
13 Correct 21 ms 21496 KB Output is correct
14 Correct 21 ms 21496 KB Output is correct
15 Correct 21 ms 21496 KB Output is correct
16 Correct 22 ms 21400 KB Output is correct
17 Correct 21 ms 21464 KB Output is correct
18 Correct 28 ms 21496 KB Output is correct
19 Correct 26 ms 21496 KB Output is correct
20 Correct 27 ms 21500 KB Output is correct
21 Correct 22 ms 21496 KB Output is correct
22 Correct 21 ms 21496 KB Output is correct
23 Correct 21 ms 21496 KB Output is correct
24 Correct 21 ms 21380 KB Output is correct
25 Correct 21 ms 21496 KB Output is correct
26 Correct 22 ms 21604 KB Output is correct
27 Correct 30 ms 22800 KB Output is correct
28 Correct 31 ms 22896 KB Output is correct
29 Correct 118 ms 35292 KB Output is correct
30 Correct 148 ms 41936 KB Output is correct
31 Correct 269 ms 54416 KB Output is correct
32 Correct 88 ms 31708 KB Output is correct
33 Correct 213 ms 48944 KB Output is correct
34 Correct 212 ms 49104 KB Output is correct
35 Correct 215 ms 48720 KB Output is correct
36 Correct 196 ms 48328 KB Output is correct
37 Correct 86 ms 31580 KB Output is correct
38 Correct 207 ms 48652 KB Output is correct
39 Correct 202 ms 48848 KB Output is correct
40 Correct 86 ms 31580 KB Output is correct
41 Correct 180 ms 48012 KB Output is correct
42 Correct 192 ms 48316 KB Output is correct
43 Correct 214 ms 48796 KB Output is correct
44 Correct 207 ms 48780 KB Output is correct
45 Correct 196 ms 48596 KB Output is correct
46 Correct 214 ms 47164 KB Output is correct
47 Correct 234 ms 47568 KB Output is correct
48 Correct 336 ms 49752 KB Output is correct
49 Correct 264 ms 56152 KB Output is correct
50 Correct 291 ms 56128 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 21496 KB Output is correct
2 Correct 22 ms 21368 KB Output is correct
3 Correct 21 ms 21496 KB Output is correct
4 Correct 21 ms 21496 KB Output is correct
5 Correct 22 ms 21496 KB Output is correct
6 Correct 21 ms 21500 KB Output is correct
7 Correct 21 ms 21500 KB Output is correct
8 Correct 21 ms 21496 KB Output is correct
9 Correct 21 ms 21496 KB Output is correct
10 Correct 26 ms 21496 KB Output is correct
11 Correct 35 ms 21624 KB Output is correct
12 Correct 21 ms 21388 KB Output is correct
13 Correct 21 ms 21496 KB Output is correct
14 Correct 21 ms 21496 KB Output is correct
15 Correct 21 ms 21496 KB Output is correct
16 Correct 22 ms 21400 KB Output is correct
17 Correct 21 ms 21464 KB Output is correct
18 Correct 28 ms 21496 KB Output is correct
19 Correct 26 ms 21496 KB Output is correct
20 Correct 27 ms 21500 KB Output is correct
21 Correct 22 ms 21496 KB Output is correct
22 Correct 21 ms 21496 KB Output is correct
23 Correct 21 ms 21496 KB Output is correct
24 Correct 21 ms 21380 KB Output is correct
25 Correct 21 ms 21496 KB Output is correct
26 Correct 21 ms 21496 KB Output is correct
27 Correct 21 ms 21496 KB Output is correct
28 Correct 22 ms 21496 KB Output is correct
29 Correct 21 ms 21496 KB Output is correct
30 Correct 22 ms 21496 KB Output is correct
31 Correct 22 ms 21484 KB Output is correct
32 Correct 21 ms 21496 KB Output is correct
33 Correct 22 ms 21496 KB Output is correct
34 Correct 22 ms 21496 KB Output is correct
35 Correct 27 ms 21496 KB Output is correct
36 Correct 21 ms 21496 KB Output is correct
37 Correct 26 ms 21496 KB Output is correct
38 Correct 22 ms 21496 KB Output is correct
39 Correct 22 ms 21496 KB Output is correct
40 Correct 21 ms 21496 KB Output is correct
41 Correct 22 ms 21496 KB Output is correct
42 Correct 21 ms 21496 KB Output is correct
43 Correct 21 ms 21496 KB Output is correct
44 Correct 21 ms 21496 KB Output is correct
45 Correct 22 ms 21496 KB Output is correct
46 Correct 22 ms 21496 KB Output is correct
47 Correct 21 ms 21496 KB Output is correct
48 Correct 21 ms 21500 KB Output is correct
49 Correct 21 ms 21496 KB Output is correct
50 Correct 21 ms 21496 KB Output is correct

Subtask #4
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 21496 KB Output is correct
2 Correct 22 ms 21368 KB Output is correct
3 Correct 21 ms 21496 KB Output is correct
4 Correct 21 ms 21496 KB Output is correct
5 Correct 22 ms 21496 KB Output is correct
6 Correct 21 ms 21500 KB Output is correct
7 Correct 21 ms 21500 KB Output is correct
8 Correct 21 ms 21496 KB Output is correct
9 Correct 21 ms 21496 KB Output is correct
10 Correct 26 ms 21496 KB Output is correct
11 Correct 35 ms 21624 KB Output is correct
12 Correct 21 ms 21388 KB Output is correct
13 Correct 21 ms 21496 KB Output is correct
14 Correct 21 ms 21496 KB Output is correct
15 Correct 21 ms 21496 KB Output is correct
16 Correct 22 ms 21400 KB Output is correct
17 Correct 21 ms 21464 KB Output is correct
18 Correct 28 ms 21496 KB Output is correct
19 Correct 26 ms 21496 KB Output is correct
20 Correct 27 ms 21500 KB Output is correct
21 Correct 22 ms 21496 KB Output is correct
22 Correct 21 ms 21496 KB Output is correct
23 Correct 21 ms 21496 KB Output is correct
24 Correct 21 ms 21380 KB Output is correct
25 Correct 21 ms 21496 KB Output is correct
26 Correct 22 ms 21604 KB Output is correct
27 Correct 30 ms 22800 KB Output is correct
28 Correct 31 ms 22896 KB Output is correct
29 Correct 118 ms 35292 KB Output is correct
30 Correct 148 ms 41936 KB Output is correct
31 Correct 269 ms 54416 KB Output is correct
32 Correct 88 ms 31708 KB Output is correct
33 Correct 213 ms 48944 KB Output is correct
34 Correct 212 ms 49104 KB Output is correct
35 Correct 215 ms 48720 KB Output is correct
36 Correct 196 ms 48328 KB Output is correct
37 Correct 86 ms 31580 KB Output is correct
38 Correct 207 ms 48652 KB Output is correct
39 Correct 202 ms 48848 KB Output is correct
40 Correct 86 ms 31580 KB Output is correct
41 Correct 180 ms 48012 KB Output is correct
42 Correct 192 ms 48316 KB Output is correct
43 Correct 214 ms 48796 KB Output is correct
44 Correct 207 ms 48780 KB Output is correct
45 Correct 196 ms 48596 KB Output is correct
46 Correct 214 ms 47164 KB Output is correct
47 Correct 234 ms 47568 KB Output is correct
48 Correct 336 ms 49752 KB Output is correct
49 Correct 264 ms 56152 KB Output is correct
50 Correct 291 ms 56128 KB Output is correct
51 Correct 21 ms 21496 KB Output is correct
52 Correct 21 ms 21496 KB Output is correct
53 Correct 22 ms 21496 KB Output is correct
54 Correct 21 ms 21496 KB Output is correct
55 Correct 22 ms 21496 KB Output is correct
56 Correct 22 ms 21484 KB Output is correct
57 Correct 21 ms 21496 KB Output is correct
58 Correct 22 ms 21496 KB Output is correct
59 Correct 22 ms 21496 KB Output is correct
60 Correct 27 ms 21496 KB Output is correct
61 Correct 21 ms 21496 KB Output is correct
62 Correct 26 ms 21496 KB Output is correct
63 Correct 22 ms 21496 KB Output is correct
64 Correct 22 ms 21496 KB Output is correct
65 Correct 21 ms 21496 KB Output is correct
66 Correct 22 ms 21496 KB Output is correct
67 Correct 21 ms 21496 KB Output is correct
68 Correct 21 ms 21496 KB Output is correct
69 Correct 21 ms 21496 KB Output is correct
70 Correct 22 ms 21496 KB Output is correct
71 Correct 22 ms 21496 KB Output is correct
72 Correct 21 ms 21496 KB Output is correct
73 Correct 21 ms 21500 KB Output is correct
74 Correct 21 ms 21496 KB Output is correct
75 Correct 21 ms 21496 KB Output is correct
76 Correct 34 ms 23548 KB Output is correct
77 Correct 26 ms 22236 KB Output is correct
78 Correct 73 ms 27228 KB Output is correct
79 Correct 149 ms 40032 KB Output is correct
80 Correct 160 ms 43632 KB Output is correct
81 Correct 91 ms 31584 KB Output is correct
82 Correct 215 ms 48552 KB Output is correct
83 Correct 180 ms 48208 KB Output is correct
84 Correct 223 ms 48764 KB Output is correct
85 Correct 215 ms 48780 KB Output is correct
86 Correct 293 ms 48568 KB Output is correct
87 Correct 221 ms 49104 KB Output is correct
88 Correct 201 ms 48592 KB Output is correct
89 Correct 206 ms 48568 KB Output is correct
90 Correct 87 ms 31580 KB Output is correct
91 Correct 206 ms 48820 KB Output is correct
92 Correct 231 ms 49108 KB Output is correct
93 Correct 226 ms 48848 KB Output is correct
94 Correct 217 ms 48328 KB Output is correct
95 Correct 211 ms 48396 KB Output is correct
96 Correct 216 ms 47312 KB Output is correct
97 Correct 237 ms 47632 KB Output is correct
98 Correct 213 ms 49744 KB Output is correct
99 Correct 270 ms 56164 KB Output is correct
100 Correct 308 ms 51512 KB Output is correct