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Submission #434335

# Submission time Handle Problem Language Result Execution time Memory
434335 2021-06-21T01:26:50 Z dqhungdl Hexagonal Territory (APIO21_hexagon) C++17
36 / 100
 1204 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 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 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 0 ms 204 KB Output is correct
4 Correct 0 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 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Runtime error 1173 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 0 ms 204 KB Output is correct
2 Correct 2 ms 588 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 3 ms 588 KB Output is correct
7 Correct 7 ms 1100 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 10 ms 1716 KB Output is correct
12 Correct 10 ms 1724 KB Output is correct
13 Correct 10 ms 1608 KB Output is correct
14 Correct 12 ms 1736 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 204 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 0 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 2 ms 588 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 2 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 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 10 ms 1712 KB Output is correct
14 Correct 10 ms 1736 KB Output is correct
15 Correct 10 ms 1608 KB Output is correct
16 Correct 11 ms 1736 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 17 ms 2716 KB Output is correct
21 Correct 2 ms 588 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 22 ms 3140 KB Output is correct
24 Correct 35 ms 5184 KB Output is correct
25 Correct 37 ms 5300 KB Output is correct
26 Correct 18 ms 2884 KB Output is correct
27 Correct 13 ms 1864 KB Output is correct
28 Correct 9 ms 1608 KB Output is correct
29 Correct 42 ms 5572 KB Output is correct
30 Correct 43 ms 5572 KB Output is correct
31 Correct 41 ms 5576 KB Output is correct
32 Correct 41 ms 5552 KB Output is correct
33 Correct 21 ms 2884 KB Output is correct
34 Correct 13 ms 1608 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 1115 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 0 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 0 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 1204 ms 1048580 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -