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Submission #434333

# Submission time Handle Problem Language Result Execution time Memory
434333 2021-06-21T01:15:18 Z dqhungdl Hexagonal Territory (APIO21_hexagon) C++17
36 / 100
 1471 ms 1048580 KB 
#include "hexagon.h"

#include <bits/stdc++.h>
using namespace std;

typedef pair<int,int> ii;
typedef pair<ii,ii> iiii;
const long long MOD=1e9+7,INC=2000;
const int X[]={0,0,1,1,0,-1,-1};
const int Y[]={0,1,1,0,-1,-1,0};
int DD[4005][4005];
bool block[4005][4005],mark[4005][4005];

void move(int &curX,int &curY,int d) {
	curX+=X[d];
	curY+=Y[d];
}

long long mult(long long x,long long k) {
	if(k==0)
		return 1;
	long long tmp=mult(x,k/2);
	if(k%2==0)
		return tmp*tmp%MOD;
	return tmp*tmp%MOD*x%MOD;
}

void dfs(int u,int v) {
	mark[u][v]=true;
	for(int d=1;d<=6;d++) {
		int newU=u,newV=v;
		move(newU,newV,d);
		if(newU<0||newU>2*INC||newV<0||newV>2*INC||block[newU][newV]||mark[newU][newV])
			continue;
		dfs(newU,newV);
	}
}

int draw_territory(int N, int A, int B,
                   std::vector<int> D, std::vector<int> L) {
	if(N==3) {
		long long l=L[0];
		long long cnt=(l+1)*(l+2)%MOD*mult(2,MOD-2)%MOD;
		long long dist=(l*(l+1)%MOD*mult(2,MOD-2)%MOD
		              +l*(l+1)%MOD*(2*l+1)%MOD*mult(6,MOD-2)%MOD)%MOD;
		return (cnt*A+dist*B)%MOD;
	} else if(accumulate(L.begin(),L.end(),0)<=2000) {
		int curX=0,curY=0;
		block[curX+INC][curY+INC]=true;
		for(int i=0;i<N;i++)
			while(L[i]--) {
				move(curX,curY,D[i]);
				block[curX+INC][curY+INC]=true;
			}
		dfs(0,0);
		for(int i=0;i<=2*INC;i++)
			for(int j=0;j<=2*INC;j++)
				DD[i][j]=-1;
		DD[INC][INC]=0;
		queue<ii> Q;
		Q.push({INC,INC});
		while(!Q.empty()) {
			int u=Q.front().first,v=Q.front().second;
			Q.pop();
			for(int d=1;d<=6;d++) {
				int newU=u,newV=v;
				move(newU,newV,d);
				if(newU<0||newU>2*INC||newV<0||newV>2*INC||DD[newU][newV]!=-1||mark[newU][newV])
					continue;
				DD[newU][newV]=DD[u][v]+1;
				Q.push({newU,newV});
			}
		}
		long long cnt=0,dist=0;
		for(int i=0;i<=2*INC;i++)
			for(int j=0;j<=2*INC;j++)
				if(!mark[i][j]) {
					cnt++;
					dist=(dist+DD[i][j])%MOD;
				}
		return (cnt*A+dist*B)%MOD;
	} else if(B==0) {
		// Pick's theorem
		long long boundary=accumulate(L.begin(),L.end(),0);
		vector<ii> segs;
		segs.push_back({0,0});
		for(int i=0;i<N;i++) {
			int newX=segs.back().first+X[D[i]]*L[i];
			int newY=segs.back().second+Y[D[i]]*L[i];
			segs.push_back({newX,newY});
		}
		long long area=0;
		for(int i=1;i<segs.size();i++)
			area+=1LL*segs[i].first*segs[i-1].second-1LL*segs[i].second*segs[i-1].first;
		area=abs(area);
		long long inside=((area-boundary)/2+1)%MOD;
		return (boundary+inside)*A%MOD;
	}
	return 0;
}

Compilation message

hexagon.cpp: In function 'int draw_territory(int, int, int, std::vector<int>, std::vector<int>)':
hexagon.cpp:93:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |   for(int i=1;i<segs.size();i++)
      |               ~^~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Runtime error 1471 ms 1048580 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 4 ms 588 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 2 ms 460 KB Output is correct
6 Correct 2 ms 588 KB Output is correct
7 Correct 7 ms 1228 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 11 ms 1864 KB Output is correct
12 Correct 14 ms 1912 KB Output is correct
13 Correct 10 ms 1864 KB Output is correct
14 Correct 11 ms 1976 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 296 KB Output is correct
19 Correct 0 ms 204 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 3 ms 588 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 2 ms 460 KB Output is correct
8 Correct 3 ms 588 KB Output is correct
9 Correct 7 ms 1228 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 300 KB Output is correct
13 Correct 10 ms 1904 KB Output is correct
14 Correct 11 ms 1864 KB Output is correct
15 Correct 10 ms 1864 KB Output is correct
16 Correct 11 ms 1972 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 20 ms 3216 KB Output is correct
21 Correct 3 ms 588 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 28 ms 3900 KB Output is correct
24 Correct 36 ms 6228 KB Output is correct
25 Correct 39 ms 6572 KB Output is correct
26 Correct 19 ms 3420 KB Output is correct
27 Correct 17 ms 2304 KB Output is correct
28 Correct 9 ms 1844 KB Output is correct
29 Correct 41 ms 6896 KB Output is correct
30 Correct 42 ms 6840 KB Output is correct
31 Correct 46 ms 6828 KB Output is correct
32 Correct 44 ms 6584 KB Output is correct
33 Correct 21 ms 3456 KB Output is correct
34 Correct 11 ms 1888 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Runtime error 1164 ms 1048580 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #7
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Incorrect 1 ms 204 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Runtime error 1194 ms 1048580 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -