#include <cstdio>
#include <vector>
#include <utility>
#include <algorithm>
using namespace std;
typedef pair<int,int> pi;
int n,a[600005];
int lp[300005], rp[300005];
struct rmaxq{
int lim;
pi tree[1650000];
void init(int n){
for(lim = 1; lim <= n; lim <<= 1);
}
void add(int x, pi v){
x += lim;
tree[x] = v;
while(x > 1){
x >>= 1;
tree[x] = max(tree[2*x],tree[2*x+1]);
}
}
pi q(int s, int e){
s += lim;
e += lim;
pi r(0,0);
while(s < e){
if(s%2 == 1) r = max(r,tree[s++]);
if(e%2 == 0) r = max(r,tree[e--]);
s >>= 1;
e >>= 1;
}
if(s == e) r = max(r,tree[s]);
return r;
}
}rmaxq;
struct rminq{
int lim;
pi tree[1650000];
void init(int n){
fill(tree,tree+1650000,pi(1e9,1e9));
for(lim = 1; lim <= n; lim <<= 1);
}
void add(int x, pi v){
x += lim;
tree[x] = v;
while(x > 1){
x >>= 1;
tree[x] = min(tree[2*x],tree[2*x+1]);
}
}
pi q(int s, int e){
s += lim;
e += lim;
pi r(1e9,1e9);
while(s < e){
if(s%2 == 1) r = min(r,tree[s++]);
if(e%2 == 0) r = min(r,tree[e--]);
s >>= 1;
e >>= 1;
}
if(s == e) r = min(r,tree[s]);
return r;
}
}rminq;
int lab[300005];
void dfs(int x, int l){
lab[x] = l;
rmaxq.add(lp[x],pi(-1,-1));
rminq.add(rp[x],pi(1e9,1e9));
while (1) {
pi t = rmaxq.q(lp[x]+1,rp[x]-1);
if(t.first > rp[x]){
dfs(t.second,3-l);
}
else break;
}
while (1) {
pi t = rminq.q(lp[x]+1,rp[x]-1);
if(t.first < lp[x]){
dfs(t.second,3-l);
}
else break;
}
}
vector<int> v1, v2, st;
vector<pi> tmp;
bool eval(vector<int> &v){
tmp.clear();
st.clear();
for (auto &i : v){
tmp.push_back(pi(lp[i],i));
tmp.push_back(pi(rp[i],-i));
}
sort(tmp.begin(),tmp.end());
for (auto &i : tmp){
if(i.second > 0){
st.push_back(i.second);
}
else{
if(st.empty() || st.back() != -i.second) return 0;
st.pop_back();
}
}
return 1;
}
int main(){
scanf("%d",&n);
for (int i=1; i<=2*n; i++) {
scanf("%d",&a[i]);
if(lp[a[i]] == 0) lp[a[i]] = i;
else rp[a[i]] = i;
}
rmaxq.init(2*n);
rminq.init(2*n);
for (int i=1; i<=n; i++){
rmaxq.add(lp[i],pi(rp[i],i));
rminq.add(rp[i],pi(lp[i],i));
}
for (int i=1; i<=n; i++){
if(!lab[i]) dfs(i,1);
}
for (int i=1; i<=n; i++) {
if(lab[i] == 1){
v1.push_back(i);
}
else{
v2.push_back(i);
}
}
if(!eval(v1) || !eval(v2)){
puts("IMPOSSIBLE");
return 0;
}
for (int i=1; i<=2*n; i++) {
putchar(lab[a[i]] == 1 ? '^' : 'v');
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
32856 KB |
Output is correct |
2 |
Correct |
7 ms |
32856 KB |
Output is correct |
3 |
Correct |
5 ms |
32856 KB |
Output is correct |
4 |
Correct |
5 ms |
32856 KB |
Output is correct |
5 |
Correct |
6 ms |
32856 KB |
Output is correct |
6 |
Correct |
6 ms |
32856 KB |
Output is correct |
7 |
Correct |
10 ms |
32856 KB |
Output is correct |
8 |
Correct |
6 ms |
32856 KB |
Output is correct |
9 |
Correct |
10 ms |
32856 KB |
Output is correct |
10 |
Correct |
6 ms |
32856 KB |
Output is correct |
11 |
Correct |
6 ms |
32856 KB |
Output is correct |
12 |
Correct |
10 ms |
32856 KB |
Output is correct |
13 |
Correct |
10 ms |
32856 KB |
Output is correct |
14 |
Correct |
0 ms |
32856 KB |
Output is correct |
15 |
Correct |
5 ms |
32856 KB |
Output is correct |
16 |
Correct |
3 ms |
32856 KB |
Output is correct |
17 |
Correct |
6 ms |
32856 KB |
Output is correct |
18 |
Correct |
3 ms |
32856 KB |
Output is correct |
19 |
Correct |
10 ms |
32856 KB |
Output is correct |
20 |
Correct |
0 ms |
32856 KB |
Output is correct |
21 |
Correct |
3 ms |
32856 KB |
Output is correct |
22 |
Correct |
10 ms |
32856 KB |
Output is correct |
23 |
Correct |
9 ms |
32856 KB |
Output is correct |
24 |
Correct |
10 ms |
32856 KB |
Output is correct |
25 |
Correct |
10 ms |
32856 KB |
Output is correct |
26 |
Correct |
6 ms |
32856 KB |
Output is correct |
27 |
Correct |
5 ms |
32856 KB |
Output is correct |
28 |
Correct |
5 ms |
32856 KB |
Output is correct |
29 |
Correct |
10 ms |
32856 KB |
Output is correct |
30 |
Correct |
6 ms |
32856 KB |
Output is correct |
31 |
Correct |
0 ms |
32856 KB |
Output is correct |
32 |
Correct |
10 ms |
32856 KB |
Output is correct |
33 |
Correct |
0 ms |
32856 KB |
Output is correct |
34 |
Correct |
11 ms |
32856 KB |
Output is correct |
35 |
Correct |
10 ms |
32856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
32856 KB |
Output is correct |
2 |
Correct |
8 ms |
32856 KB |
Output is correct |
3 |
Correct |
7 ms |
32856 KB |
Output is correct |
4 |
Correct |
10 ms |
32856 KB |
Output is correct |
5 |
Correct |
8 ms |
32856 KB |
Output is correct |
6 |
Correct |
0 ms |
32856 KB |
Output is correct |
7 |
Correct |
3 ms |
32856 KB |
Output is correct |
8 |
Correct |
5 ms |
32856 KB |
Output is correct |
9 |
Correct |
0 ms |
32856 KB |
Output is correct |
10 |
Correct |
10 ms |
32856 KB |
Output is correct |
11 |
Correct |
7 ms |
32856 KB |
Output is correct |
12 |
Correct |
0 ms |
32856 KB |
Output is correct |
13 |
Correct |
11 ms |
32856 KB |
Output is correct |
14 |
Correct |
3 ms |
32856 KB |
Output is correct |
15 |
Correct |
7 ms |
32856 KB |
Output is correct |
16 |
Correct |
11 ms |
32856 KB |
Output is correct |
17 |
Correct |
7 ms |
32856 KB |
Output is correct |
18 |
Correct |
7 ms |
32856 KB |
Output is correct |
19 |
Correct |
3 ms |
32856 KB |
Output is correct |
20 |
Correct |
0 ms |
32856 KB |
Output is correct |
21 |
Correct |
0 ms |
32856 KB |
Output is correct |
22 |
Correct |
7 ms |
32856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
33388 KB |
Output is correct |
2 |
Correct |
21 ms |
33372 KB |
Output is correct |
3 |
Correct |
91 ms |
36636 KB |
Output is correct |
4 |
Correct |
93 ms |
34920 KB |
Output is correct |
5 |
Correct |
84 ms |
34848 KB |
Output is correct |
6 |
Correct |
74 ms |
34804 KB |
Output is correct |
7 |
Correct |
107 ms |
36576 KB |
Output is correct |
8 |
Correct |
17 ms |
33032 KB |
Output is correct |
9 |
Correct |
25 ms |
33372 KB |
Output is correct |
10 |
Correct |
99 ms |
36512 KB |
Output is correct |
11 |
Correct |
87 ms |
34848 KB |
Output is correct |
12 |
Correct |
76 ms |
34912 KB |
Output is correct |
13 |
Correct |
90 ms |
34816 KB |
Output is correct |
14 |
Correct |
93 ms |
34848 KB |
Output is correct |
15 |
Correct |
106 ms |
34912 KB |
Output is correct |
16 |
Correct |
24 ms |
33388 KB |
Output is correct |
17 |
Correct |
27 ms |
33372 KB |
Output is correct |
18 |
Correct |
104 ms |
36680 KB |
Output is correct |
19 |
Correct |
74 ms |
34784 KB |
Output is correct |
20 |
Correct |
131 ms |
36512 KB |
Output is correct |
21 |
Correct |
100 ms |
34792 KB |
Output is correct |
22 |
Correct |
110 ms |
34972 KB |
Output is correct |
23 |
Correct |
154 ms |
36580 KB |
Output is correct |
24 |
Correct |
109 ms |
34992 KB |
Output is correct |
25 |
Correct |
150 ms |
37120 KB |
Output is correct |
26 |
Correct |
137 ms |
36456 KB |
Output is correct |
27 |
Correct |
159 ms |
41300 KB |
Output is correct |
28 |
Correct |
155 ms |
41264 KB |
Output is correct |
29 |
Correct |
159 ms |
41044 KB |
Output is correct |
30 |
Correct |
160 ms |
41040 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
197 ms |
37216 KB |
Output is correct |
2 |
Correct |
324 ms |
37220 KB |
Output is correct |
3 |
Correct |
224 ms |
40160 KB |
Output is correct |
4 |
Correct |
343 ms |
41496 KB |
Output is correct |
5 |
Correct |
340 ms |
40668 KB |
Output is correct |
6 |
Correct |
488 ms |
49376 KB |
Output is correct |
7 |
Correct |
501 ms |
40960 KB |
Output is correct |
8 |
Correct |
380 ms |
40740 KB |
Output is correct |
9 |
Correct |
265 ms |
37504 KB |
Output is correct |
10 |
Correct |
265 ms |
40160 KB |
Output is correct |
11 |
Correct |
338 ms |
40064 KB |
Output is correct |
12 |
Correct |
262 ms |
37004 KB |
Output is correct |
13 |
Correct |
502 ms |
41792 KB |
Output is correct |
14 |
Correct |
484 ms |
47208 KB |
Output is correct |
15 |
Correct |
261 ms |
41184 KB |
Output is correct |
16 |
Correct |
234 ms |
37224 KB |
Output is correct |
17 |
Correct |
255 ms |
36816 KB |
Output is correct |
18 |
Correct |
198 ms |
36976 KB |
Output is correct |
19 |
Correct |
381 ms |
40824 KB |
Output is correct |
20 |
Correct |
495 ms |
40840 KB |
Output is correct |
21 |
Correct |
494 ms |
41776 KB |
Output is correct |
22 |
Correct |
520 ms |
52924 KB |
Output is correct |
23 |
Correct |
511 ms |
53940 KB |
Output is correct |
24 |
Correct |
526 ms |
59680 KB |
Output is correct |
25 |
Correct |
542 ms |
59688 KB |
Output is correct |