oj.uz

Submission #128709

# Submission time Handle Problem Language Result Execution time Memory
128709 2019-07-11T08:34:51 Z 이온조(#3159) None (JOI16_ho_t4) C++14
15 / 100
 352 ms 34764 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][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.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 = 3*N+1;
	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-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]
 }
 ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 9720 KB Output is correct
2 Correct 11 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 11 ms 9720 KB Output is correct
5 Correct 10 ms 9720 KB Output is correct
6 Correct 10 ms 9800 KB Output is correct
7 Correct 10 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 9776 KB Output is correct
12 Correct 10 ms 9720 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9756 KB Output is correct
15 Correct 10 ms 9720 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 9692 KB Output is correct
21 Correct 10 ms 9720 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 14 ms 9720 KB Output is correct
25 Correct 13 ms 9720 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 9720 KB Output is correct
2 Correct 11 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 11 ms 9720 KB Output is correct
5 Correct 10 ms 9720 KB Output is correct
6 Correct 10 ms 9800 KB Output is correct
7 Correct 10 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 9776 KB Output is correct
12 Correct 10 ms 9720 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9756 KB Output is correct
15 Correct 10 ms 9720 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 9692 KB Output is correct
21 Correct 10 ms 9720 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 14 ms 9720 KB Output is correct
25 Correct 13 ms 9720 KB Output is correct
26 Correct 11 ms 9848 KB Output is correct
27 Correct 13 ms 9976 KB Output is correct
28 Correct 14 ms 9848 KB Output is correct
29 Correct 45 ms 12564 KB Output is correct
30 Correct 50 ms 12664 KB Output is correct
31 Correct 255 ms 30824 KB Output is correct
32 Correct 34 ms 10872 KB Output is correct
33 Correct 77 ms 14964 KB Output is correct
34 Correct 92 ms 15604 KB Output is correct
35 Correct 77 ms 14836 KB Output is correct
36 Correct 58 ms 13684 KB Output is correct
37 Correct 35 ms 11000 KB Output is correct
38 Correct 87 ms 14324 KB Output is correct
39 Correct 65 ms 14836 KB Output is correct
40 Correct 39 ms 10872 KB Output is correct
41 Correct 58 ms 12960 KB Output is correct
42 Correct 55 ms 12792 KB Output is correct
43 Correct 78 ms 14864 KB Output is correct
44 Correct 87 ms 14448 KB Output is correct
45 Correct 64 ms 13684 KB Output is correct
46 Correct 114 ms 17484 KB Output is correct
47 Correct 134 ms 18752 KB Output is correct
48 Correct 168 ms 21768 KB Output is correct
49 Correct 338 ms 34616 KB Output is correct
50 Correct 352 ms 34764 KB Output is correct

Subtask #3
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 9720 KB Output is correct
2 Correct 11 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 11 ms 9720 KB Output is correct
5 Correct 10 ms 9720 KB Output is correct
6 Correct 10 ms 9800 KB Output is correct
7 Correct 10 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 9776 KB Output is correct
12 Correct 10 ms 9720 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9756 KB Output is correct
15 Correct 10 ms 9720 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 9692 KB Output is correct
21 Correct 10 ms 9720 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 14 ms 9720 KB Output is correct
25 Correct 13 ms 9720 KB Output is correct
26 Incorrect 11 ms 9720 KB Output isn't correct
27 Halted 0 ms 0 KB -

Subtask #4
0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 9720 KB Output is correct
2 Correct 11 ms 9720 KB Output is correct
3 Correct 10 ms 9720 KB Output is correct
4 Correct 11 ms 9720 KB Output is correct
5 Correct 10 ms 9720 KB Output is correct
6 Correct 10 ms 9800 KB Output is correct
7 Correct 10 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 9776 KB Output is correct
12 Correct 10 ms 9720 KB Output is correct
13 Correct 10 ms 9720 KB Output is correct
14 Correct 10 ms 9756 KB Output is correct
15 Correct 10 ms 9720 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 9692 KB Output is correct
21 Correct 10 ms 9720 KB Output is correct
22 Correct 10 ms 9720 KB Output is correct
23 Correct 10 ms 9720 KB Output is correct
24 Correct 14 ms 9720 KB Output is correct
25 Correct 13 ms 9720 KB Output is correct
26 Correct 11 ms 9848 KB Output is correct
27 Correct 13 ms 9976 KB Output is correct
28 Correct 14 ms 9848 KB Output is correct
29 Correct 45 ms 12564 KB Output is correct
30 Correct 50 ms 12664 KB Output is correct
31 Correct 255 ms 30824 KB Output is correct
32 Correct 34 ms 10872 KB Output is correct
33 Correct 77 ms 14964 KB Output is correct
34 Correct 92 ms 15604 KB Output is correct
35 Correct 77 ms 14836 KB Output is correct
36 Correct 58 ms 13684 KB Output is correct
37 Correct 35 ms 11000 KB Output is correct
38 Correct 87 ms 14324 KB Output is correct
39 Correct 65 ms 14836 KB Output is correct
40 Correct 39 ms 10872 KB Output is correct
41 Correct 58 ms 12960 KB Output is correct
42 Correct 55 ms 12792 KB Output is correct
43 Correct 78 ms 14864 KB Output is correct
44 Correct 87 ms 14448 KB Output is correct
45 Correct 64 ms 13684 KB Output is correct
46 Correct 114 ms 17484 KB Output is correct
47 Correct 134 ms 18752 KB Output is correct
48 Correct 168 ms 21768 KB Output is correct
49 Correct 338 ms 34616 KB Output is correct
50 Correct 352 ms 34764 KB Output is correct
51 Incorrect 11 ms 9720 KB Output isn't correct
52 Halted 0 ms 0 KB -