This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <stack>
#include <memory.h>
#include <assert.h>
#include <stdlib.h>
#include <algorithm>
#include <set>
#include <queue>
#include <functional>
using namespace std;
const int N_ = 100500;
int N, X, A[N_ + N_];
bool used[N_];
int L[N_], R[N_];
void INVALID() {
puts("INVALID");
exit(0);
}
int res[N_];
queue<int> que;
stack<int> stk;
int main() {
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
scanf("%d", &N);
X = N + N;
for (int i = 1; i <= X; i++) {
scanf("%d", A + i);
if (!used[A[i]]) L[A[i]] = i; else R[A[i]] = i;
used[A[i]] = true;
}
memset(used, 0, sizeof used);
for(int st = 1; st <= N; st++) if(!used[st]) {
que.push(st);
res[st] = 1;
while(!que.empty()) {
int u = que.front(); que.pop(); used[u] = true;
for(int v = 1; v <= N; v++) if(!used[v]) {
if((L[u] < L[v] && L[v] < R[u] && R[u] < R[v])
|| (L[v] < L[u] && L[u] < R[v] && R[v] < R[u])) {
que.push(v);
used[v] = true;
res[v] = 3 - res[u];
}
}
}
}
for (int cur = 1; cur <= 2; cur++) {
memset(used, 0, sizeof used);
while (!stk.empty()) stk.pop();
for (int i = 1; i <= X; i++) if (res[A[i]] == cur) {
if (!used[A[i]]) {
used[A[i]] = true;
stk.push(A[i]);
}
else {
if (stk.top() != A[i]) INVALID();
stk.pop();
}
}
}
for (int i = 1; i <= X; i++) printf("%c", res[A[i]] == 1 ? '^' : 'v');
return 0;
}
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