Submission #128799

# Submission time Handle Problem Language Result Execution time Memory
128799 2019-07-11T09:44:52 Z onjo0127 None (JOI16_ho_t4) C++11
38 / 100
356 ms 48620 KB
#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
using pli = pair<long long, int>;
using tiii = tuple<int, int, int>;
#define X first
#define Y second

const int le9 = 1e9;
const pii INF = {-1e9, -1e9};

pii df; int dx, dy;
int N, K, P[1000009];
int x1[4][1000009], x2[4][1000009], y[1000009];
char S[1000009];
set<pii> st;

void mv(pii &CR, char c) {
	if(c == 'S') --CR.Y;
	if(c == 'N') ++CR.Y;
	if(c == 'W') --CR.X;
	if(c == 'E') ++CR.X;
}

void input() {
	scanf("%d%d",&N,&K);
	for(int i=1; i<=N; i++) {
		scanf(" %c", &S[i]);
		mv(df, S[i]);
	}
	if(df.X < 0) {
		df.X = -df.X;
		for(int i=1; i<=N; i++) {
			if(S[i] == 'W') S[i] = 'E';
			else if(S[i] == 'E') S[i] = 'W';
		}
	}
	if(df.Y < 0) {
		df.Y = -df.Y;
		for(int i=1; i<=N; i++) {
			if(S[i] == 'N') S[i] = 'S';
			else if(S[i] == 'S') S[i] = 'N';
		}
	}
}

void go(pii &now) {
	st.insert(now);
	for(int i=1; i<=N; i++) {
		mv(now, S[i]);
		st.insert(now);
	}
}

int cnt() {
	int ret = 0;
	for(auto& it: st) {
		int c = 0;
		if(st.find({it.X+1, it.Y}) != st.end()) ++c;
		if(st.find({it.X, it.Y+1}) != st.end()) ++c;
		if(st.find({it.X+1, it.Y+1}) != st.end()) ++c;
		if(c == 3) ++ret;
	}
	return ret;
}

pli geti(pii A) {
	if(dx == 0) return {A.X, A.Y % dy};
	if(dy == 0) return {A.Y, A.X % dx};
	return {1LL * A.X * dy - 1LL * A.Y * dx, A.Y % dy};
}

int day(pii A, pii B) {
	return (dx ? (A.X - B.X) / dx : (A.Y - B.Y) / dy) + 1;
}

vector<pii> A;

pii RC(pii U) {
	if(U.Y == 0) return A[U.X];
	if(U.Y == 1) return {A[U.X].X+1, A[U.X].Y};
	if(U.Y == 2) return {A[U.X].X, A[U.X].Y+1};
	if(U.Y == 3) return {A[U.X].X+1, A[U.X].Y+1};
}

vector<pii> T[1000009];

int main() {
	input(); tie(dx, dy) = df;
	pii now = {100000, 100000}; go(now);
	// printf("dx: %d, dy: %d\n", dx, dy);

	if(dx == 0 && dy == 0) return !printf("%d", cnt());
	
	map<pli, int> id; int M = 0;
	for(auto& it: st) {
		if(id[geti(it)] == 0) id[geti(it)] = ++M;
		if(id[geti({it.X+1, it.Y})] == 0) id[geti({it.X+1, it.Y})] = ++M;
		if(id[geti({it.X, it.Y+1})] == 0) id[geti({it.X, it.Y+1})] = ++M;
		if(id[geti({it.X+1, it.Y+1})] == 0) id[geti({it.X+1, it.Y+1})] = ++M;
	}
	for(auto& it: st) {
		T[id[geti(it)]].push_back({A.size(), 0});
		T[id[geti({it.X+1, it.Y})]].push_back({A.size(), 1});
		T[id[geti({it.X, it.Y+1})]].push_back({A.size(), 2});
		T[id[geti({it.X+1, it.Y+1})]].push_back({A.size(), 3});
		A.push_back(it);
	}
	int E = A.size();
	for(int i=1; i<=M; i++) {
		sort(T[i].begin(), T[i].end(), [&](pii PP, pii QQ) {
			if(RC(PP) == RC(QQ)) return PP.Y < QQ.Y;
			return RC(PP) < RC(QQ);
		});
		// for(auto& it: T[i]) printf("Ai: %d, (%d, %d), type: %d\n", it.X, RC(it).X - le9, RC(it).Y - le9, it.Y);
		// puts("------------------");
		// calculate x1
		pii prv = INF;
		for(auto& it: T[i]) {
			if(it.Y == 0) prv = RC(it);
			else {
				if(prv == INF) continue;
				x1[it.Y][it.X] = day(RC(it), prv);
			}
		}
		reverse(T[i].begin(), T[i].end());
		// calculate x2 and y
		prv = INF;
		for(auto& it: T[i]) {
			if(it.Y == 0) {
				if(prv != INF) y[it.X] = day(prv, RC(it));
				prv = RC(it);
			}
			else {
				if(prv == INF) continue;
				x2[it.Y][it.X] = day(prv, RC(it));
			}
		}
	}
	int inf = 1000000;
	for(int i=0; i<E; i++) {
		int X1 = inf, X2 = inf, Y = inf;
		if(x1[1][i] && x1[2][i] && x1[3][i]) X1 = max({x1[1][i], x1[2][i], x1[3][i]});
		if(x2[1][i] && x2[2][i] && x2[3][i]) X2 = max({x2[1][i], x2[2][i], x2[3][i]});
		if(y[i]) Y = y[i];

		int s1 = X1, e1 = X1 + Y - 2;
		int s2 = X2, e2 = Y - 1;
		e1 = min(e1, X1 + X2 - 2);
		s1 = min(s1, inf);
		e1 = min(e1, inf);
		s2 = min(s2, inf);
		e2 = min(e2, inf);
		if(s1 <= e1) ++P[s1], --P[e1+1];
		if(s2 <= e2) ++P[s2], --P[e2+1];
		// printf("i: %d, (%d, %d), x1: %d, x2: %d, y: %d, [%d, %d], [%d, %d]\n", i, A[i].X-le9, A[i].Y-le9, X1, X2, Y, s1, e1, s2, e2);
	}
	long long ds = 0, sum = 0;
	for(int i=1; i<inf; i++) {
		ds += P[i];
		sum += ds;
		if(i == K) return !printf("%lld", sum);
	}
	printf("%lld", sum + ds*(K-inf+1));
	return 0;
}

Compilation message

2016_ho_t4.cpp: In function 'void input()':
2016_ho_t4.cpp:26:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d",&N,&K);
  ~~~~~^~~~~~~~~~~~~~
2016_ho_t4.cpp:28:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf(" %c", &S[i]);
   ~~~~~^~~~~~~~~~~~~~
2016_ho_t4.cpp: In function 'pii RC(pii)':
2016_ho_t4.cpp:84:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23928 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23932 KB Output is correct
11 Correct 23 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23928 KB Output is correct
15 Correct 23 ms 23800 KB Output is correct
16 Correct 23 ms 23928 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 23 ms 23928 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 24 ms 23800 KB Output is correct
21 Correct 24 ms 23928 KB Output is correct
22 Correct 23 ms 23928 KB Output is correct
23 Correct 28 ms 23928 KB Output is correct
24 Correct 24 ms 23800 KB Output is correct
25 Correct 24 ms 23928 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23928 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23932 KB Output is correct
11 Correct 23 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23928 KB Output is correct
15 Correct 23 ms 23800 KB Output is correct
16 Correct 23 ms 23928 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 23 ms 23928 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 24 ms 23800 KB Output is correct
21 Correct 24 ms 23928 KB Output is correct
22 Correct 23 ms 23928 KB Output is correct
23 Correct 28 ms 23928 KB Output is correct
24 Correct 24 ms 23800 KB Output is correct
25 Correct 24 ms 23928 KB Output is correct
26 Correct 24 ms 23928 KB Output is correct
27 Correct 27 ms 24312 KB Output is correct
28 Correct 27 ms 24184 KB Output is correct
29 Correct 57 ms 26744 KB Output is correct
30 Correct 62 ms 26744 KB Output is correct
31 Correct 266 ms 44880 KB Output is correct
32 Correct 53 ms 24824 KB Output is correct
33 Correct 92 ms 28916 KB Output is correct
34 Correct 97 ms 29592 KB Output is correct
35 Correct 93 ms 28788 KB Output is correct
36 Correct 78 ms 27764 KB Output is correct
37 Correct 49 ms 24952 KB Output is correct
38 Correct 95 ms 28428 KB Output is correct
39 Correct 79 ms 28788 KB Output is correct
40 Correct 47 ms 25084 KB Output is correct
41 Correct 72 ms 26872 KB Output is correct
42 Correct 68 ms 26872 KB Output is correct
43 Correct 90 ms 28936 KB Output is correct
44 Correct 87 ms 28564 KB Output is correct
45 Correct 74 ms 27636 KB Output is correct
46 Correct 130 ms 31300 KB Output is correct
47 Correct 147 ms 32752 KB Output is correct
48 Correct 181 ms 35816 KB Output is correct
49 Correct 355 ms 48584 KB Output is correct
50 Correct 356 ms 48620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23928 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23932 KB Output is correct
11 Correct 23 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23928 KB Output is correct
15 Correct 23 ms 23800 KB Output is correct
16 Correct 23 ms 23928 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 23 ms 23928 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 24 ms 23800 KB Output is correct
21 Correct 24 ms 23928 KB Output is correct
22 Correct 23 ms 23928 KB Output is correct
23 Correct 28 ms 23928 KB Output is correct
24 Correct 24 ms 23800 KB Output is correct
25 Correct 24 ms 23928 KB Output is correct
26 Correct 23 ms 23928 KB Output is correct
27 Correct 23 ms 23800 KB Output is correct
28 Correct 26 ms 23800 KB Output is correct
29 Correct 24 ms 23800 KB Output is correct
30 Correct 24 ms 23928 KB Output is correct
31 Correct 26 ms 23932 KB Output is correct
32 Correct 24 ms 23800 KB Output is correct
33 Correct 25 ms 23928 KB Output is correct
34 Correct 24 ms 23800 KB Output is correct
35 Correct 26 ms 23928 KB Output is correct
36 Correct 25 ms 23800 KB Output is correct
37 Correct 26 ms 23800 KB Output is correct
38 Correct 26 ms 23800 KB Output is correct
39 Correct 26 ms 23800 KB Output is correct
40 Correct 23 ms 23800 KB Output is correct
41 Correct 25 ms 23824 KB Output is correct
42 Correct 23 ms 23764 KB Output is correct
43 Correct 26 ms 23928 KB Output is correct
44 Correct 25 ms 23800 KB Output is correct
45 Correct 25 ms 23928 KB Output is correct
46 Correct 25 ms 23804 KB Output is correct
47 Correct 25 ms 23928 KB Output is correct
48 Correct 25 ms 23928 KB Output is correct
49 Correct 25 ms 23928 KB Output is correct
50 Correct 25 ms 23804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 23 ms 23800 KB Output is correct
3 Correct 23 ms 23928 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 23 ms 23928 KB Output is correct
6 Correct 24 ms 23928 KB Output is correct
7 Correct 24 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23932 KB Output is correct
11 Correct 23 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 23 ms 23800 KB Output is correct
14 Correct 23 ms 23928 KB Output is correct
15 Correct 23 ms 23800 KB Output is correct
16 Correct 23 ms 23928 KB Output is correct
17 Correct 24 ms 23800 KB Output is correct
18 Correct 23 ms 23928 KB Output is correct
19 Correct 23 ms 23800 KB Output is correct
20 Correct 24 ms 23800 KB Output is correct
21 Correct 24 ms 23928 KB Output is correct
22 Correct 23 ms 23928 KB Output is correct
23 Correct 28 ms 23928 KB Output is correct
24 Correct 24 ms 23800 KB Output is correct
25 Correct 24 ms 23928 KB Output is correct
26 Correct 24 ms 23928 KB Output is correct
27 Correct 27 ms 24312 KB Output is correct
28 Correct 27 ms 24184 KB Output is correct
29 Correct 57 ms 26744 KB Output is correct
30 Correct 62 ms 26744 KB Output is correct
31 Correct 266 ms 44880 KB Output is correct
32 Correct 53 ms 24824 KB Output is correct
33 Correct 92 ms 28916 KB Output is correct
34 Correct 97 ms 29592 KB Output is correct
35 Correct 93 ms 28788 KB Output is correct
36 Correct 78 ms 27764 KB Output is correct
37 Correct 49 ms 24952 KB Output is correct
38 Correct 95 ms 28428 KB Output is correct
39 Correct 79 ms 28788 KB Output is correct
40 Correct 47 ms 25084 KB Output is correct
41 Correct 72 ms 26872 KB Output is correct
42 Correct 68 ms 26872 KB Output is correct
43 Correct 90 ms 28936 KB Output is correct
44 Correct 87 ms 28564 KB Output is correct
45 Correct 74 ms 27636 KB Output is correct
46 Correct 130 ms 31300 KB Output is correct
47 Correct 147 ms 32752 KB Output is correct
48 Correct 181 ms 35816 KB Output is correct
49 Correct 355 ms 48584 KB Output is correct
50 Correct 356 ms 48620 KB Output is correct
51 Correct 23 ms 23928 KB Output is correct
52 Correct 23 ms 23800 KB Output is correct
53 Correct 26 ms 23800 KB Output is correct
54 Correct 24 ms 23800 KB Output is correct
55 Correct 24 ms 23928 KB Output is correct
56 Correct 26 ms 23932 KB Output is correct
57 Correct 24 ms 23800 KB Output is correct
58 Correct 25 ms 23928 KB Output is correct
59 Correct 24 ms 23800 KB Output is correct
60 Correct 26 ms 23928 KB Output is correct
61 Correct 25 ms 23800 KB Output is correct
62 Correct 26 ms 23800 KB Output is correct
63 Correct 26 ms 23800 KB Output is correct
64 Correct 26 ms 23800 KB Output is correct
65 Correct 23 ms 23800 KB Output is correct
66 Correct 25 ms 23824 KB Output is correct
67 Correct 23 ms 23764 KB Output is correct
68 Correct 26 ms 23928 KB Output is correct
69 Correct 25 ms 23800 KB Output is correct
70 Correct 25 ms 23928 KB Output is correct
71 Correct 25 ms 23804 KB Output is correct
72 Correct 25 ms 23928 KB Output is correct
73 Correct 25 ms 23928 KB Output is correct
74 Correct 25 ms 23928 KB Output is correct
75 Correct 25 ms 23804 KB Output is correct
76 Incorrect 28 ms 24184 KB Output isn't correct
77 Halted 0 ms 0 KB -