Submission #128637

# Submission time Handle Problem Language Result Execution time Memory
128637 2019-07-11T07:51:04 Z 이온조(#3159) None (JOI16_ho_t4) C++14
15 / 100
367 ms 33104 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[100009];
int x1[4][100009], x2[4][100009], y[100009];
char S[100009];
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[400009];

int main() {
	input(); tie(dx, dy) = df;
	pii now = {le9, le9}; 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)] = ++M;
		if(id[geti({it.X, it.Y+1})] == 0) id[geti(it)] = ++M;
		if(id[geti({it.X+1, it.Y+1})] == 0) id[geti(it)] = ++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));
			}
		}
	}
	for(int i=0; i<E; i++) {
		int X1, X2, Y;
		if(!x1[1][i] || !x1[2][i] || !x1[3][i]) X1 = -1;
		else X1 = max({x1[1][i], x1[2][i], x1[3][i]});
		if(!x2[1][i] || !x2[2][i] || !x2[3][i]) X2 = -1;
		else X2 = max({x2[1][i], x2[2][i], x2[3][i]});
		if(!y[i]) Y = -1;
		else Y = y[i];

		// printf("x1 set : (%d, %d, %d)\n", x1[1][i], x1[2][i], x1[3][i]);
		// 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, X1, X1+Y-2, X2, Y-1);
		if(X1 != -1 && Y != -1) ++P[X1], --P[min(X1+Y-1, X2 == -1 ? le9 : X2+1)];
		if(X2 != -1 && Y != -1 && X2 <= Y-1) ++P[X2], --P[Y];
		if(X1 != -1 && Y == -1) ++P[X1];
	}
	long long ds = 0, sum = 0;
	for(int i=1; i<=N; i++) {
		ds += P[i];
		sum += ds;
		if(i == K) return !printf("%lld", sum);
	}
	printf("%lld", sum + ds*(K-N));
	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 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9848 KB Output is correct
5 Correct 11 ms 9848 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 11 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9720 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 11 ms 9724 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9848 KB Output is correct
15 Correct 10 ms 9724 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 10 ms 9720 KB Output is correct
20 Correct 10 ms 9720 KB Output is correct
21 Correct 10 ms 9764 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 10 ms 9720 KB Output is correct
25 Correct 10 ms 9720 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9848 KB Output is correct
5 Correct 11 ms 9848 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 11 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9720 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 11 ms 9724 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9848 KB Output is correct
15 Correct 10 ms 9724 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 10 ms 9720 KB Output is correct
20 Correct 10 ms 9720 KB Output is correct
21 Correct 10 ms 9764 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 10 ms 9720 KB Output is correct
25 Correct 10 ms 9720 KB Output is correct
26 Correct 10 ms 9848 KB Output is correct
27 Correct 13 ms 9976 KB Output is correct
28 Correct 15 ms 9976 KB Output is correct
29 Correct 49 ms 12540 KB Output is correct
30 Correct 53 ms 12584 KB Output is correct
31 Correct 272 ms 29656 KB Output is correct
32 Correct 34 ms 10744 KB Output is correct
33 Correct 82 ms 14708 KB Output is correct
34 Correct 89 ms 15396 KB Output is correct
35 Correct 83 ms 14580 KB Output is correct
36 Correct 63 ms 13556 KB Output is correct
37 Correct 36 ms 10872 KB Output is correct
38 Correct 82 ms 14196 KB Output is correct
39 Correct 71 ms 14584 KB Output is correct
40 Correct 34 ms 10744 KB Output is correct
41 Correct 60 ms 12788 KB Output is correct
42 Correct 61 ms 12792 KB Output is correct
43 Correct 88 ms 14708 KB Output is correct
44 Correct 80 ms 14296 KB Output is correct
45 Correct 65 ms 13564 KB Output is correct
46 Correct 117 ms 17264 KB Output is correct
47 Correct 143 ms 18644 KB Output is correct
48 Correct 144 ms 21760 KB Output is correct
49 Correct 362 ms 33104 KB Output is correct
50 Correct 367 ms 32868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9848 KB Output is correct
5 Correct 11 ms 9848 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 11 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9720 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 11 ms 9724 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9848 KB Output is correct
15 Correct 10 ms 9724 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 10 ms 9720 KB Output is correct
20 Correct 10 ms 9720 KB Output is correct
21 Correct 10 ms 9764 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 10 ms 9720 KB Output is correct
25 Correct 10 ms 9720 KB Output is correct
26 Incorrect 10 ms 9720 KB Output isn't correct
27 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 10 ms 9720 KB Output is correct
2 Correct 10 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 10 ms 9848 KB Output is correct
5 Correct 11 ms 9848 KB Output is correct
6 Correct 10 ms 9720 KB Output is correct
7 Correct 11 ms 9720 KB Output is correct
8 Correct 10 ms 9720 KB Output is correct
9 Correct 10 ms 9720 KB Output is correct
10 Correct 10 ms 9720 KB Output is correct
11 Correct 10 ms 9720 KB Output is correct
12 Correct 11 ms 9724 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9848 KB Output is correct
15 Correct 10 ms 9724 KB Output is correct
16 Correct 10 ms 9720 KB Output is correct
17 Correct 10 ms 9720 KB Output is correct
18 Correct 10 ms 9720 KB Output is correct
19 Correct 10 ms 9720 KB Output is correct
20 Correct 10 ms 9720 KB Output is correct
21 Correct 10 ms 9764 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 10 ms 9720 KB Output is correct
25 Correct 10 ms 9720 KB Output is correct
26 Correct 10 ms 9848 KB Output is correct
27 Correct 13 ms 9976 KB Output is correct
28 Correct 15 ms 9976 KB Output is correct
29 Correct 49 ms 12540 KB Output is correct
30 Correct 53 ms 12584 KB Output is correct
31 Correct 272 ms 29656 KB Output is correct
32 Correct 34 ms 10744 KB Output is correct
33 Correct 82 ms 14708 KB Output is correct
34 Correct 89 ms 15396 KB Output is correct
35 Correct 83 ms 14580 KB Output is correct
36 Correct 63 ms 13556 KB Output is correct
37 Correct 36 ms 10872 KB Output is correct
38 Correct 82 ms 14196 KB Output is correct
39 Correct 71 ms 14584 KB Output is correct
40 Correct 34 ms 10744 KB Output is correct
41 Correct 60 ms 12788 KB Output is correct
42 Correct 61 ms 12792 KB Output is correct
43 Correct 88 ms 14708 KB Output is correct
44 Correct 80 ms 14296 KB Output is correct
45 Correct 65 ms 13564 KB Output is correct
46 Correct 117 ms 17264 KB Output is correct
47 Correct 143 ms 18644 KB Output is correct
48 Correct 144 ms 21760 KB Output is correct
49 Correct 362 ms 33104 KB Output is correct
50 Correct 367 ms 32868 KB Output is correct
51 Incorrect 10 ms 9720 KB Output isn't correct
52 Halted 0 ms 0 KB -