| Task: | Split in Three |
| Sender: | stephan |
| Submission time: | 2021-01-30 04:07:57 +0200 |
| Language: | C++11 |
| Status: | READY |
| Result: | 100 |
| group | verdict | score |
|---|---|---|
| #1 | ACCEPTED | 22 |
| #2 | ACCEPTED | 78 |
| test | verdict | time | group | |
|---|---|---|---|---|
| #1 | ACCEPTED | 0.01 s | 1, 2 | details |
| #2 | ACCEPTED | 0.01 s | 1, 2 | details |
| #3 | ACCEPTED | 0.01 s | 1, 2 | details |
| #4 | ACCEPTED | 0.01 s | 1, 2 | details |
| #5 | ACCEPTED | 0.01 s | 1, 2 | details |
| #6 | ACCEPTED | 0.01 s | 1, 2 | details |
| #7 | ACCEPTED | 0.01 s | 1, 2 | details |
| #8 | ACCEPTED | 0.01 s | 1, 2 | details |
| #9 | ACCEPTED | 0.01 s | 2 | details |
| #10 | ACCEPTED | 0.01 s | 2 | details |
| #11 | ACCEPTED | 0.01 s | 2 | details |
| #12 | ACCEPTED | 0.01 s | 2 | details |
| #13 | ACCEPTED | 0.01 s | 2 | details |
| #14 | ACCEPTED | 0.01 s | 2 | details |
| #15 | ACCEPTED | 0.01 s | 2 | details |
Code
///By Stephan Ramirez dsramirezc@unal.edu.co
#include<bits/stdc++.h>
#define ms(a,v) memset(a,v,sizeof a)
#define ll long long
using namespace std;
int vis[200];
int n;
int sm;
int a,b,c;
int dp[102][10100];
int can(int pos, int num){
if(num==0)
return 1;
if(num<0)
return 0;
if(pos==0)
return 0;
int &ans=dp[pos][num];
if(ans!=-1)
return ans;
ans=can(pos-1,num) ;
if(vis[pos]==-1)
ans|= can(pos-1,num-pos);
return ans;
}
vector<int> aux;
void backtrack(int pos,int num){
if(num==0)
return ;
if(num<0)
return ;
if(pos==0)
return ;
if(can(pos-1,num)==1){
backtrack(pos-1,num);
return;
}
aux.push_back(pos);
backtrack(pos-1,num-pos);
}
int main(){
ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
#ifdef LOCAL
freopen("in.txt","r",stdin);
//freopen("out.txt","w",stdout) ;
#endif
cin>>n;
sm=((n+1)*n)/2;
if(sm%3!=0){
cout<<"IMPOSSIBLE\n";
return 0;
}
b=sm/3;
a=b-1;
c=b+1;
int s[3]={b,a,c};
int id[3]={2,1,3};
ms(vis,-1);
for(int i=0;i<3;i++){
ms(dp,-1);
if(can(n,s[i])==0){
cout<<"IMPOSSIBLE\n";
return 0;
}
aux.clear();
backtrack(n,s[i]);
for(int j: aux){
vis[j]=id[i];
}
}
for(int i=1;i<=n;i++)
cout<<vis[i]<<" ";
return 0;
}
Test details
Test 1
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 3 |
| correct output |
|---|
| 1 2 3 |
| user output |
|---|
| 1 2 3 |
Test 2
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 4 |
| correct output |
|---|
| IMPOSSIBLE |
| user output |
|---|
| IMPOSSIBLE |
Test 3
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 5 |
| correct output |
|---|
| 1 3 1 3 2 |
| user output |
|---|
| 3 2 2 1 3 |
Test 4
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 6 |
| correct output |
|---|
| 1 3 2 2 1 3 |
| user output |
|---|
| 2 2 3 2 3 1 |
Test 5
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 7 |
| correct output |
|---|
| IMPOSSIBLE |
| user output |
|---|
| IMPOSSIBLE |
Test 6
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 8 |
| correct output |
|---|
| 2 3 1 2 3 3 2 1 |
| user output |
|---|
| 2 2 1 2 2 3 3 1 |
Test 7
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 9 |
| correct output |
|---|
| 1 2 3 1 2 3 3 2 1 |
| user output |
|---|
| 2 2 2 2 2 1 3 1 3 |
Test 8
Group: 1, 2
Verdict: ACCEPTED
| input |
|---|
| 10 |
| correct output |
|---|
| IMPOSSIBLE |
| user output |
|---|
| IMPOSSIBLE |
Test 9
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 42 |
| correct output |
|---|
| 1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ... |
| user output |
|---|
| 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... |
Test 10
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 95 |
| correct output |
|---|
| 1 3 1 3 2 1 2 3 3 2 1 1 2 3 3 ... |
| user output |
|---|
| 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... |
Test 11
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 96 |
| correct output |
|---|
| 1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ... |
| user output |
|---|
| 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... |
Test 12
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 97 |
| correct output |
|---|
| IMPOSSIBLE |
| user output |
|---|
| IMPOSSIBLE |
Test 13
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 98 |
| correct output |
|---|
| 2 3 1 2 3 3 2 1 1 2 3 3 2 1 1 ... |
| user output |
|---|
| 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... |
Test 14
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 99 |
| correct output |
|---|
| 1 2 3 1 2 3 3 2 1 1 2 3 3 2 1 ... |
| user output |
|---|
| 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 ... |
Test 15
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 100 |
| correct output |
|---|
| IMPOSSIBLE |
| user output |
|---|
| IMPOSSIBLE |