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Putka Open 2020 – 4/5

Ruudukko

  • Start: 2020-11-06 18:00:00
  • End: 2020-11-08 23:00:00
CSES - Putka Open 2020 – 4/5 - Results
Submission details
Task:Ruudukko
Sender:Olli
Submission time:2020-11-07 22:13:48 +0200
Language:C++11
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED5
#2ACCEPTED12
#3ACCEPTED27
#4ACCEPTED28
#5ACCEPTED28
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 5details
#2ACCEPTED0.01 s2, 5details
#3ACCEPTED0.01 s3, 5details
#4ACCEPTED0.01 s4, 5details
#5ACCEPTED0.01 s5details
#6ACCEPTED0.01 s5details
#7ACCEPTED0.01 s2, 5details
#8ACCEPTED0.01 s2, 5details
#9ACCEPTED0.01 s3, 5details
#10ACCEPTED0.01 s3, 5details
#11ACCEPTED0.01 s3, 5details
#12ACCEPTED0.01 s3, 5details
#13ACCEPTED0.01 s4, 5details
#14ACCEPTED0.02 s5details
#15ACCEPTED0.01 s3, 5details
#16ACCEPTED0.04 s5details

Compiler report

input/code.cpp: In function 'std::__cxx11::string mirror(std::__cxx11::string)':
input/code.cpp:36:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < s.size(); ++i) {
                 ~~^~~~~~~~~~
input/code.cpp: In function 'std::__cxx11::string upsidedown(std::__cxx11::string)':
input/code.cpp:47:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < s.size(); ++i) {
                 ~~^~~~~~~~~~
input/code.cpp: In function 'std::__cxx11::string rotate(std::__cxx11::string)':
input/code.cpp:78:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < s.size(); ++i) {
                 ~~^~~~~~~~~~
input/code.cpp: In function 'std::__cxx11::string solve(int, int, int, int, int, int)':
input/code.cpp:593:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 0; i < s.size();...

Code

#include <iostream>
#include <fstream>
#include <vector>
#include <algorithm>
#include <queue>
#include <stack>
#include <set>
#include <unordered_map>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define F first
#define S second
#define X first
#define Y second


const int N = 55;











string mirror(string s) {
	for(int i = 0; i < s.size(); ++i) {
		if(s[i] == 'L') {
			s[i] = 'R';
		} else if (s[i] == 'R') {
			s[i] = 'L';
		}
	}
	return s;
}

string upsidedown(string s) {
	for(int i = 0; i < s.size(); ++i) {
		if(s[i] == 'U') {
			s[i] = 'D';
		} else if (s[i] == 'D') {
			s[i] = 'U';
		}
	}
	return s;
}

string reverse(string s) {
	if(s.size() == 0) return "";
	string t = "";
	for(int i = s.size() - 1; i >= 0; --i) {
		if(s[i] == 'D') {
			t += 'U';
		}
		if(s[i] == 'U') {
			t += 'D';
		}
		if(s[i] == 'L') {
			t += 'R';
		}
		if(s[i] == 'R') {
			t += 'L';
		}
	}
	return t;
}

string rotate(string s) {
	for(int i = 0; i < s.size(); ++i) {
		if(s[i] == 'D') {
			s[i] = 'L';
		} else if (s[i] == 'R') {
			s[i] = 'U';
		} else if (s[i] == 'U') {
			s[i] = 'R';
		} else {
			s[i] = 'D';
		}
	}
	return s;
}


bool z[N][N];
string cur;
bool sol;
string ans;
int am;

int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};
char di[4] = {'R', 'U', 'L', 'D'};

void dfs(int h, int w, int x2, int y2, int X, int Y) {
	if(sol) return;
	if(z[X][Y]) return;
	z[X][Y] = true;
	++am;
	if(am == h*w) {
		ans = cur;
		sol = true;
		return;
	}
	for(int i = 0; i < 4; ++i) {
		int x = X + dx[i];
		int y = Y + dy[i];
		if(x == x2 && y == y2 && am != h*w - 1) {
			continue;
		}
		if(x <= 0 || x > w || y <= 0 || y > h) continue;
		cur += di[i];
		dfs(h, w, x2, y2, x, y);
		cur.pop_back();
		if(sol) break;
	}

	--am;
	z[X][Y] = false;
}

string solveBrute(int h, int w, int x1, int y1, int x2, int y2) {
	cur = "";
	sol = false;
	ans = "";
	for(int y = 1; y <= h; ++y) {
		for(int x = 1; x <= w; ++x) {
			z[x][y] = false;
		}
	}
	am = 0;
	dfs(h, w, x2, y2, x1, y1);
	return ans;
}





string solve(int h, int w, int x1, int y1, int x2, int y2) {
	if((h*w)%2 == 0) {
		if((x1 + x2 + y1 + y2)%2 == 0) return "";
	} else {
		if((x1 + y1)%2 == 1 || (x2 + y2)%2 == 1) return "";
	}

	if(h > w) {
		return rotate(solve(w, h, y1, x1, y2, x2));
	}

	if(w <= 5 || h == 1) {
		return solveBrute(h, w, x1, y1, x2, y2);
	}

	if(h == 2) {
		if(y1 == 2) {
			return upsidedown(solve(h, w, x1, h+1-y1, x2, h+1-y2));
		}
		//y1 = 1

		if(x1 == x2) {
			if(x1 != 1 && x1 != w) {
				return "";
			}
			if(x1 == w) return mirror(solve(h, w, w+1-x1, y1, w+1-x2, y2));
			string s = "";
			for(int i = 1; i <= w-1; ++i) {
				s += 'R';
			}
			s += 'U';
			for(int i = 1; i <= w-1; ++i) {
				s += 'L';
			}
			return s;
		}

		if(x2 < x1) {
			return mirror(solve(h, w, w+1-x1, y1, w+1-x2, y2));
		}

		if(y2 == 2) {
			if((x2-x1)%2 == 1) return "";

			string s = "";
			for(int i = 1; i <= x1 - 1; ++i) {
				s += "L";
			}
			s += "U";
			for(int i = 1; i <= x1; ++i) {
				s += "R";
			}
			for(int i = 1; i <= (x2 - x1)/2 - 1; ++i) {
				s += "DRUR";
			}
			s += "DR";
			for(int i = 1; i <= (w - x2); ++i) {
				s += "R";
			}
			s += "U";
			for(int i = 1; i <= (w - x2); ++i) {
				s += "L";
			}
			return s;
		}
		//y2 = 1

		if((x2 - x1)%2 == 0) return "";
		string s = "";
		for(int i = 1; i <= x1 - 1; ++i) {
			s += "L";
		}
		s += "U";
		for(int i = 1; i <= x1-1; ++i) {
			s += "R";
		}

		for(int i = 1; i <= (x2 - x1)/2; ++i) {
			s += "RDRU";
		}
		s += "R";
		for(int i = 1; i <= w - x2; ++i) {
			s += "R";
		}
		s += "D";
		for(int i = 1; i <= w - x2; ++i) {
			s += "L";
		}
		return s;
	}


	if(h == 3) {
		if(y1 == 3) {
			return upsidedown(solve(h, w, x1, h+1-y1, x2, h+1-y2));
		}
		if(x2 < x1) {
			return mirror(solve(h, w, w+1-x1, y1, w+1-x2, y2));
		}


		if(x2 == x1) {
			if(y2 == 2) {
				//y1 = 1
				if(x1%2 == 1) {
					return mirror(solve(h, w, w+1-x1, y1, w+1-x2, y2));		
				}
				string s = "";
				for(int i = 1; i < x1; ++i) {
					s += "L";
				}
				s += "UU";
				for(int i = 1; i < x1/2; ++i) {
					s += "RDRU";
				}
				s += "R";
				if(w == x1) {
					s += "D";
					return s;
				}
				for(int i = 1; i <= w - x1; ++i) {
					s += "R";
				}
				s += "DD";
				for(int i = 1; i <= (w - x1 - 1)/2; ++i) {
					s += "LULD";
				}
				s += "LUL";
				return s;
			}

			if(y1 == 2) {
				return reverse(solve(h, w, x2, y2, x1, y1));
			}

			//y1 = 1 and y2 = 3
			if(x1%2 == 0) return "";
			string s = "";
			for(int i = 1; i <= x1 - 1; ++i) {
				s += "L";
			}
			s += "U";
			for(int i = 1; i <= x1/2; ++i) {
				s += "URDR";
			}

			for(int i = 1; i <= (w - x1)/2; ++i) {
				s += "RDRU";
			}
			s += "U";
			for(int i = 1; i <= (w - x1); ++i) {
				s += "L";
			}
			return s;
		}



		if(w%2 == 0) {
			if((x1 + y1)%2 == 1) {
				if(x2 > x1 + 1) {
					return "";
				}
				if(y1 == 2) {
					return "";
				}

				//x2 = x1 + 1, y1 = 1
				//x1%2 = 0
				if(y2 == 1) {

					string s = "";
					for(int i = 1; i < x1; ++i) {
						s += "L";
					}
					s += "UU";
					for(int i = 1; i <= x1/2; ++i) {
						s += "RDRU";
					}
					for(int i = 1; i <= w - x2; ++i) {
						s += "R";
					}
					s += "DD";
					for(int i = 1; i <= (w - x2)/2; ++i) {
						s += "LULD";
					}
					s += "L";
					return s;
				}

				if(y2 == 2) {
					return "";		
				}

				if(y2 == 3) {
					string s = "";
					for(int i = 1; i < x1; ++i) {
						s += "L";
					}
					s += "UU";
					for(int i = 1; i < x2/2; ++i) {
						s += "RDRU";
					}
					s += "RDRD";
					for(int i = 1; i <= w - x2; ++i) {
						s += "R";
					}
					s += "UU";
					for(int i = 1; i <= (w - x2)/2; ++i) {
						s += "LDLU";
					}
					s += "L";
					return s;
				}
			} else {
				if(y1 == 1) {
					if(y2 == 1) {
						string s = "";
						for(int i = 1; i < x1; ++i) {
							s += "L";
						}
						s += "UU";
						for(int i = 1; i <= x1/2; ++i) {
							s += "RDRU";
						}
						for(int i = 1; i <= (x2 - x1)/2; ++i) {
							s += "RDDRUU";
						}
						s += "RD";
						for(int i = 1; i <= (w - x2)/2; ++i) {
							s += "RURD";
						}
						s += "D";
						for(int i = 1; i <= w - x2; ++i) {
							s += "L";
						}
						return s;
					}
					if(y2 == 2) {
						string s = "";
						for(int i = 1; i < x1; ++i) {
							s += "L";
						}
						s += "UU";
						for(int i = 1; i <= x1/2; ++i) {
							s += "RDRU";
						}
						for(int i = 1; i < (x2 - x1)/2; ++i) {
							s += "RDDRUU";
						}
						s += "RDDR";
						for(int i = 1; i <= w - x2; ++i) {
							s += "R";
						}
						s += "UU";
						for(int i = 1; i <= (w - x2)/2; ++i) {
							s += "LDLU";
						}
						s += "LD";
						return s;
					}


					string s = "";

					for(int i = w - x1; i >= 1; --i) {
						s += "R";
					}
					s += "U";
					for(int i = 1; i <= (w - x2)/2; ++i) {
						s += "ULDL";
					}
					for(int i = 1; i <= x2 - x1; ++i) {
						s += "L";
					}
					for(int i = 1; i <= x1/2; ++i) {
						s += "LDLU";
					}
					s += "U";
					for(int i = 1; i < x2; ++i) {
						s += "R";
					}
					return s;
				} else {
					//w is even
					//x1 + y1 is even
					//y1 is 2
					if(y2 == 3) {
						return upsidedown(solve(h, w, x1, h+1-y1, x2, h+1-y2));
					}
					if(y2 == 1) {
						return reverse(solve(h, w, x2, y2, x1, y1));
					}
					//y2 = 2
					string s = "";
					s += "U";
					for(int i = 1; i < x1/2; ++i) {
						s += "LDLU";
					}
					s += "LDD";
					for(int i = 1; i < x1; ++i) {
						s += "R";
					}
					for(int i = 1; i <= (x2 - x1)/2; ++i) {
						s += "RUURDD";
					}
					s += "R";
					for(int i = 1; i <= (w - x2)/2; ++i) {
						s += "RURD";
					}
					s += "RUU";
					for(int i = 1; i <= w - x2; ++i) {
						s += "L";
					}
					s += "D";
					return s;
				}
			}
		} else {
			//w is odd
			if(y1 == 1 && y2 == 1) {
				//x1 and x2 are odd
				string s = "";
				for(int i = 1; i < x1; ++i) {
					s += "L";
				}
				s += "UU";
				for(int i = 1; i <= x1/2; ++i) {
					s += "RDRU";
				}
				for(int i = 1; i <= w - x1; ++i) {
					s += "R";
				}
				s += "D";
				for(int i = 1; i <= (w - x2)/2; ++i) {
					s += "DLUL";
				}
				for(int i = 1; i < x2 - x1; ++i) {
					s += "L";
				}
				s += "D";
				for(int i = 1; i < x2 - x1; ++i) {
					s += "R";
				}
				return s;
			}



			if(y1 == 1 && y2 == 2) {
				string s = "";
				for(int i = 1; i < x1; ++i) {
					s += "L";
				}
				s += "UU";
				for(int i = 1; i <= x1/2; ++i) {
					s += "RDRU";
				}

				for(int i = 1; i <= (x2 - x1)/2; ++i) {
					s += "RDDRUU";
				}
				for(int i = 1; i <= w - x2 + 1; ++i) {
					s += "R";
				}
				s += "D";
				for(int i = 1; i <= (w - x2)/2; ++i) {
					s += "DLUL";
				}
				s += "DLU";
				return s;
			}


			if(y1 == 1 && y2 == 3) {
				string s = "";
				for(int i = 1; i < x1; ++i) {
					s += "L";
				}
				s += "UU";
				for(int i = 1; i <= x1/2; ++i) {
					s += "RDRU";
				}
				for(int i = 1; i < (x2 - x1)/2; ++i) {
					s += "RDDRUU";
				}
				s += "RDD";
				for(int i = 1; i <= w - x2 + 1; ++i) {
					s += "R";
				}
				s += "UU";
				for(int i = 1; i <= (w - x2)/2; ++i) {
					s += "LDLU";
				}
				return s;
			}

			if(y1 == 2 && y2 == 2) {
				string s = "D";
				for(int i = 1; i < x1; ++i) {
					s += "L";
				}
				s += "U";
				for(int i = 1; i < x1/2; ++i) {
					s += "URDR";
				}
				s += "UR";
				for(int i = 1; i < (x2 - x1)/2; ++i) {
					s += "RDDRUU";
				}
				s += "RDDR";
				for(int i = 1; i <= w - x2; ++i) {
					s += "R";
				}
				s += "U";
				for(int i = 1; i <= (w - x2)/2; ++i) {
					s += "ULDL";
				}
				s += "ULD";
				return s;
			}

			if(y2 == 3) {
				return upsidedown(solve(h, w, x1, h+1-y1, x2, h+1-y2));
			}
			return reverse(solve(h, w, x2, y2, x1, y1));
		}


	}


	//h >= 4
	//also w >= 4

	if(x2 < x1) {
		return reverse(solve(h, w, x2, y2, x1, y1));
	}

	if(x1 >= 3) {
		string s = solve(h, w-2, x1-2, y1, x2-2, y2);
		int x = x1 - 2;
		int y = y1;
		string t = "";
		bool f = true;
		for(int i = 0; i < s.size(); ++i) {
			if(x == 1 && s[i] != 'R' && f) {
				t += 'L';
				if(s[i] == 'U') {
					t += solve(h, 2, 2, y, 2, y+1);
				} else {
					t += solve(h, 2, 2, y, 2, y-1);
				}
				t += 'R';
				f = false;
				continue;
			} else {
				t += s[i];
				if(s[i] == 'U') {
					++y;
				}
				if(s[i] == 'D') {
					--y;
				}
				if(s[i] == 'L') {
					--x;
				}
				if(s[i] == 'R') {
					++x;
				}
			}
		}
		return t;
	}


	if(x2 <= w - 2) {
		string s = solve(h, w-2, x1, y1, x2, y2);
		int x = x1;
		int y = y1;
		string t = "";
		bool f = true;
		for(int i = 0; i < s.size(); ++i) {
			if(x == w - 2 && s[i] != 'L' && f) {
				t += 'R';
				if(s[i] == 'U') {
					t += solve(h, 2, 1, y, 1, y+1);
				} else {
					t += solve(h, 2, 1, y, 1, y-1);
				}
				t += 'L';
				f = false;
				continue;
			} else {
				t += s[i];
				if(s[i] == 'U') {
					++y;
				}
				if(s[i] == 'D') {
					--y;
				}
				if(s[i] == 'L') {
					--x;
				}
				if(s[i] == 'R') {
					++x;
				}
			}
		}
		return t;
	}


	//x1 = 1 or 2, x2 = w or w-1


	int a = -1;
	string A = "";
	for(int i = 1; i <= h; ++i) {
		A = solve(h, 2, x1, y1, 2, i);
		if(A.size() != 0) {
			a = i;
			break;
		}
	}
	A += "R";

	A += solve(h, w-2, 1, a, x2-2, y2);
	return A;
}


int main() {
	int t;
	cin >> t;

	while(t > 0) {
		--t;

		int h, w, x1, y1, x2, y2;
		cin >> h >> w >> y1 >> x1 >> y2 >> x2;
		y1 = h+1 - y1; y2 = h+1 - y2;


		string s = solve(h, w, x1, y1, x2, y2);

		if(s.size() == 0) {
			cout << "NO\n";
		} else {
			cout << "YES\n";
			cout << s << "\n";
		}

	}


}

Test details

Test 1

Group: 1, 5

Verdict: ACCEPTED

input
100
1 45 1 45 1 1
1 18 1 1 1 10
1 47 1 17 1 30
1 33 1 28 1 20
...
view save

correct output
YES
LLLLLLLLLLLLLLLLLLLLLLLLLLLLLL...
view save

user output
YES
LLLLLLLLLLLLLLLLLLLLLLLLLLLLLL...
view save

Test 2

Group: 2, 5

Verdict: ACCEPTED

input
100
2 43 1 33 1 21
2 2 1 1 2 2
2 32 1 1 2 8
2 14 1 12 1 14
...
view save

correct output
NO
NO
NO
NO
YES
...
view save

user output
NO
NO
NO
NO
YES
...
view save

Test 3

Group: 3, 5

Verdict: ACCEPTED

input
100
3 4 2 1 2 4
3 38 2 24 1 22
3 29 2 23 2 3
3 8 3 1 1 2
...
view save

correct output
NO
NO
NO
YES
RRRRRRRUULDLULDLULDLLUR
...
view save

user output
NO
NO
NO
YES
RRRRRRRUULDLULDLULDLLUR
...
view save

Test 4

Group: 4, 5

Verdict: ACCEPTED

input
100
4 25 2 19 1 5
4 13 3 10 4 12
4 7 3 1 4 2
4 23 1 19 2 5
...
view save

correct output
YES
DDRRRRRRULLLLLURRRRRULLLLLLLDD...
view save

user output
YES
ULLLLDRDRURDRRUURDDRUURDDRUURD...
view save

Test 5

Group: 5

Verdict: ACCEPTED

input
100
16 8 13 1 14 8
41 21 19 11 32 12
46 17 13 7 6 11
8 41 4 32 4 12
...
view save

correct output
NO
YES
LURULURULURULURULURRDDDDDDDDDR...
view save

user output
NO
YES
RRDDDDLLLUURDRUULLULLLLLLUUUUL...
view save

Test 6

Group: 5

Verdict: ACCEPTED

input
100
31 38 18 35 31 37
35 48 7 13 21 21
46 21 25 2 4 19
35 2 13 2 35 1
...
view save

correct output
YES
LLLLLLLLLLLLDRRRRRRRRRRRRDLLLL...
view save

user output
YES
LDRDLDRRUUUULLLDDDDLUUUULDDDDD...
view save

Test 7

Group: 2, 5

Verdict: ACCEPTED

input
100
2 4 1 3 1 4
2 4 2 2 1 1
2 4 2 3 1 2
2 4 2 3 1 4
...
view save

correct output
YES
LLDRRRU
NO
NO
NO
...
view save

user output
YES
LLDRRRU
NO
NO
NO
...
view save

Test 8

Group: 2, 5

Verdict: ACCEPTED

input
100
2 5 1 2 2 4
2 5 1 2 1 1
2 5 2 1 1 2
2 5 1 1 1 5
...
view save

correct output
YES
LDRRURRDL
YES
RRRDLLLLU
NO
...
view save

user output
YES
LDRRURRDL
YES
RRRDLLLLU
NO
...
view save

Test 9

Group: 3, 5

Verdict: ACCEPTED

input
100
3 4 1 1 2 3
3 4 2 4 3 2
3 4 2 1 3 1
3 4 1 4 3 4
...
view save

correct output
YES
DDRRRUULLDR
NO
YES
URRRDDLULDL
...
view save

user output
YES
RRRDDLLLURR
NO
YES
URRRDDLULDL
...
view save

Test 10

Group: 3, 5

Verdict: ACCEPTED

input
100
3 5 3 4 3 2
3 5 3 5 2 3
3 5 3 1 2 2
3 5 3 1 3 2
...
view save

correct output
NO
NO
YES
UURRRRDDLULDLU
NO
...
view save

user output
NO
NO
YES
RRRRUULDLULLDR
NO
...
view save

Test 11

Group: 3, 5

Verdict: ACCEPTED

input
100
3 8 2 8 1 2
3 8 2 4 1 7
3 8 3 4 2 7
3 8 2 5 3 1
...
view save

correct output
NO
NO
NO
YES
LLLDRRRRURDRUULLLLLLLDD
...
view save

user output
NO
NO
NO
YES
URDRURDDLLLLUULDDLUULDD
...
view save

Test 12

Group: 3, 5

Verdict: ACCEPTED

input
100
3 9 1 3 2 9
3 9 1 6 1 5
3 9 3 6 2 8
3 9 3 2 3 4
...
view save

correct output
NO
NO
NO
NO
NO
...
view save

user output
NO
NO
NO
NO
NO
...
view save

Test 13

Group: 4, 5

Verdict: ACCEPTED

input
100
4 4 2 2 1 4
4 4 4 1 2 2
4 4 2 1 4 3
4 4 3 1 3 3
...
view save

correct output
YES
DDLUUURRDDDRUUU
YES
UUURRRDLDRDLLUU
NO
...
view save

user output
YES
RRDDLULDLUUURRR
YES
RRRUUULLLDDRRUL
NO
...
view save

Test 14

Group: 5

Verdict: ACCEPTED

input
100
12 27 6 22 1 8
6 25 3 2 4 4
6 16 4 6 5 2
36 33 8 6 1 6
...
view save

correct output
YES
DLDDDDDRUUUURDDDDRUURDDRRULURU...
view save

user output
YES
DLULDLUURRRRDDDLLLLDRRRRDLLLLL...
view save

Test 15

Group: 3, 5

Verdict: ACCEPTED

input
100
3 12 3 5 1 4
3 20 3 19 2 19
3 34 3 9 2 9
3 38 2 15 3 15
...
view save

correct output
YES
RRRRRRRUULDLULDLULDLULDLDLULDL...
view save

user output
YES
RRRRRRRUULDLULDLULDLULDLDLLLUU...
view save

Test 16

Group: 5

Verdict: ACCEPTED

input
100
50 50 29 1 16 21
50 50 37 5 23 48
50 50 32 22 45 24
50 50 6 28 12 37
...
view save

correct output
YES
DDDDDDDDDDDDDDDDDDDDDRUUUUUUUU...
view save

user output
YES
DDDDDDDDDDDDDDDDDDDDDRRRRRRRRR...
view save

Tasks

A Neliöt-B Peli-C Tekijät-D Ruudukko-

Submissions (Olli)

2020-11-07 22:13:48 1002020-11-07 22:12:39 672020-11-06 23:12:06 442020-11-06 23:04:49 172020-11-06 19:45:03 172020-11-06 19:29:17 5