This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cstdio>
#include <algorithm>
#include <stack>
#include <vector>
using namespace std;
int n, data[600000];
vector<int> loc[300000];
stack<int> upper, lower;
char ans[600001];
int main(void)
{
scanf("%d", &n);
for(int i = 0; i < n * 2; i++)
{
scanf("%d", data + i);
data[i]--;
loc[data[i]].push_back(i);
}
for(int i = 0; i < n * 2; i++)
{
if(upper.size() > 0 && upper.top() == i) { upper.pop(); ans[i] = '^'; }
else if(lower.size() > 0 && lower.top() == i) { lower.pop(); ans[i] = 'v'; }
else
{
int v = data[i];
int end = loc[v][1];
if(upper.size() > 0 && lower.size() > 0)
{
if(upper.top() < lower.top())
{
if(end < upper.top()) { ans[i] = '^'; upper.push(end); }
else if(end < lower.top()) { ans[i] = 'v'; lower.push(end); }
else { ans[0] = 0; break; }
}
else
{
if(end < lower.top()) { ans[i] = 'v'; lower.push(end); }
else if(end < upper.top()) { ans[i] = '^'; upper.push(end); }
else { ans[0] = 0; break; }
}
}
else if(upper.size() > 0)
{
if(end < upper.top()) { ans[i] = '^'; upper.push(end); }
else { ans[i] = 'v'; lower.push(end); }
}
else if(lower.size() > 0)
{
if(end < lower.top()) { ans[i] = 'v'; lower.push(end); }
else { ans[i] = '^'; upper.push(end); }
}
else { upper.push(end); ans[i] = '^'; }
}
}
if(ans[0] == 0) printf("IMPOSSIBLE\n");
else printf("%s\n", ans);
return 0;
}
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