#define DEBUG 0
#include <bits/stdc++.h>
using namespace std;
#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}
// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
public:
template<typename T>
_Debug& operator,(T val) {
cout << val << endl;
return *this;
}
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif
// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back
// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;
// ---------- END OF TEMPLATE ----------
int A[1000000],B[1000000];
int poss[1000000][2];
queue<int> Q;
char ans[1000000];
vpii v,v2;
int main() {
int i;
int N;
scanf("%d",&N);
for (i = 0; i < 2*N; i++) scanf("%d",&A[i]);
for (i = 0; i < 2*N; i++) scanf("%d",&B[i]);
for (i = 0; i < 2*N; i++) poss[i][0] = poss[i][1] = 1;
for (i = 0; i < 2*N; i++) {
if ((i < 2*N-1) && (A[i] > A[i+1]) && (A[i] > B[i+1])) poss[i][0] = 0,Q.push(i);
if ((i < 2*N-1) && (B[i] > A[i+1]) && (B[i] > B[i+1])) poss[i][1] = 0,Q.push(i);
if ((i > 0) && (A[i] < A[i-1]) && (A[i] < B[i-1])) poss[i][0] = 0,Q.push(i);
if ((i > 0) && (B[i] < A[i-1]) && (B[i] < B[i-1])) poss[i][1] = 0,Q.push(i);
}
while (!Q.empty()) {
int u = Q.front();
Q.pop();
if (!poss[u][0] && !poss[u][1]) {
printf("-1\n");
return 0;
}
if (u < 2*N-1) {
if (poss[u][0] && poss[u+1][0] && (A[u] > A[u+1])) poss[u+1][0] = 0,Q.push(u+1);
if (poss[u][0] && poss[u+1][1] && (A[u] > B[u+1])) poss[u+1][1] = 0,Q.push(u+1);
if (poss[u][1] && poss[u+1][0] && (B[u] > A[u+1])) poss[u+1][0] = 0,Q.push(u+1);
if (poss[u][1] && poss[u+1][1] && (B[u] > B[u+1])) poss[u+1][1] = 0,Q.push(u+1);
}
if (u > 0) {
if (poss[u][0] && poss[u-1][0] && (A[u] < A[u-1])) poss[u-1][0] = 0,Q.push(u-1);
if (poss[u][0] && poss[u-1][1] && (A[u] < B[u-1])) poss[u-1][1] = 0,Q.push(u-1);
if (poss[u][1] && poss[u-1][0] && (B[u] < A[u-1])) poss[u-1][0] = 0,Q.push(u-1);
if (poss[u][1] && poss[u-1][1] && (B[u] < B[u-1])) poss[u-1][1] = 0,Q.push(u-1);
}
}
int d = 0,p = -1;
for (i = 0; i < 2*N; i++) {
if (!poss[i][0]) ans[i] = 'B',d--,v.pb(mp(p+1,i-1)),p = i;
else if (!poss[i][1]) ans[i] = 'A',v.pb(mp(p+1,i-1)),d++,p = i;
else if ((i == 2*N-1) || (max(A[i],B[i]) < min(A[i+1],B[i+1]))) v.pb(mp(p+1,i)),p = i;
}
int j,sl = 0,sr = 0;
for (i = 0; i < v.size(); i++) {
int x = 0;
for (j = v[i].first; j <= v[i].second; j++) {
if (A[j] <= B[j]) x++;
else x--;
}
int l = x,r = x;
for (j = v[i].second; j >= v[i].first; j--) {
if (A[j] <= B[j]) x -= 2;
else x += 2;
l = min(l,x),r = max(r,x);
}
v2.pb(mp(l,r));
sl += l,sr += r;
}
if ((sl <= -d) && (-d <= sr)) {
for (i = 0; i < v.size(); i++) d += v2[i].first;
d = -d;
for (i = 0; i < v.size(); i++) {
int z = min(d,v2[i].second-v2[i].first);
d -= z,z += v2[i].first;
int x = 0;
for (j = v[i].first; j <= v[i].second; j++) {
if (A[j] <= B[j]) x++;
else x--;
}
for (j = v[i].first; j <= v[i].second; j++) {
if (A[j] <= B[j]) ans[j] = 'A';
else ans[j] = 'B';
}
if (x != z) {
for (j = v[i].second; j >= v[i].first; j--) {
if (A[j] <= B[j]) x -= 2,ans[j] = 'B';
else x += 2,ans[j] = 'A';
if (x == z) break;
}
}
}
for (i = 0; i < 2*N; i++) printf("%c",ans[i]);
printf("\n");
}
else printf("-1\n");
return 0;
}
Compilation message
building4.cpp: In function 'int main()':
building4.cpp:105:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (i = 0; i < v.size(); i++) {
~~^~~~~~~~~~
building4.cpp:121:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (i = 0; i < v.size(); i++) d += v2[i].first;
~~^~~~~~~~~~
building4.cpp:123:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (i = 0; i < v.size(); i++) {
~~^~~~~~~~~~
building4.cpp:66:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d",&N);
~~~~~^~~~~~~~~
building4.cpp:67:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
for (i = 0; i < 2*N; i++) scanf("%d",&A[i]);
~~~~~^~~~~~~~~~~~
building4.cpp:68:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
for (i = 0; i < 2*N; i++) scanf("%d",&B[i]);
~~~~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
7 ms |
512 KB |
Output is correct |
6 |
Correct |
7 ms |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
6 ms |
512 KB |
Output is correct |
11 |
Correct |
7 ms |
640 KB |
Output is correct |
12 |
Correct |
7 ms |
640 KB |
Output is correct |
13 |
Correct |
7 ms |
640 KB |
Output is correct |
14 |
Correct |
7 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
7 ms |
640 KB |
Output is correct |
19 |
Correct |
7 ms |
640 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
7 ms |
512 KB |
Output is correct |
27 |
Correct |
6 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
6 ms |
512 KB |
Output is correct |
31 |
Correct |
6 ms |
512 KB |
Output is correct |
32 |
Correct |
6 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 ms |
384 KB |
Output is correct |
5 |
Correct |
7 ms |
512 KB |
Output is correct |
6 |
Correct |
7 ms |
512 KB |
Output is correct |
7 |
Correct |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
6 ms |
512 KB |
Output is correct |
9 |
Correct |
6 ms |
512 KB |
Output is correct |
10 |
Correct |
6 ms |
512 KB |
Output is correct |
11 |
Correct |
7 ms |
640 KB |
Output is correct |
12 |
Correct |
7 ms |
640 KB |
Output is correct |
13 |
Correct |
7 ms |
640 KB |
Output is correct |
14 |
Correct |
7 ms |
512 KB |
Output is correct |
15 |
Correct |
6 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
512 KB |
Output is correct |
17 |
Correct |
6 ms |
512 KB |
Output is correct |
18 |
Correct |
7 ms |
640 KB |
Output is correct |
19 |
Correct |
7 ms |
640 KB |
Output is correct |
20 |
Correct |
7 ms |
512 KB |
Output is correct |
21 |
Correct |
6 ms |
512 KB |
Output is correct |
22 |
Correct |
6 ms |
512 KB |
Output is correct |
23 |
Correct |
6 ms |
512 KB |
Output is correct |
24 |
Correct |
6 ms |
512 KB |
Output is correct |
25 |
Correct |
6 ms |
512 KB |
Output is correct |
26 |
Correct |
7 ms |
512 KB |
Output is correct |
27 |
Correct |
6 ms |
384 KB |
Output is correct |
28 |
Correct |
6 ms |
512 KB |
Output is correct |
29 |
Correct |
6 ms |
512 KB |
Output is correct |
30 |
Correct |
6 ms |
512 KB |
Output is correct |
31 |
Correct |
6 ms |
512 KB |
Output is correct |
32 |
Correct |
6 ms |
512 KB |
Output is correct |
33 |
Correct |
6 ms |
512 KB |
Output is correct |
34 |
Correct |
405 ms |
40056 KB |
Output is correct |
35 |
Correct |
450 ms |
58156 KB |
Output is correct |
36 |
Correct |
433 ms |
57428 KB |
Output is correct |
37 |
Correct |
445 ms |
58404 KB |
Output is correct |
38 |
Correct |
390 ms |
52952 KB |
Output is correct |
39 |
Correct |
369 ms |
43236 KB |
Output is correct |
40 |
Correct |
383 ms |
45540 KB |
Output is correct |
41 |
Correct |
321 ms |
34808 KB |
Output is correct |
42 |
Correct |
444 ms |
59704 KB |
Output is correct |
43 |
Correct |
481 ms |
61932 KB |
Output is correct |
44 |
Correct |
493 ms |
62056 KB |
Output is correct |
45 |
Correct |
482 ms |
61920 KB |
Output is correct |
46 |
Correct |
438 ms |
55412 KB |
Output is correct |
47 |
Correct |
403 ms |
46924 KB |
Output is correct |
48 |
Correct |
377 ms |
45152 KB |
Output is correct |
49 |
Correct |
392 ms |
45672 KB |
Output is correct |
50 |
Correct |
467 ms |
61180 KB |
Output is correct |
51 |
Correct |
470 ms |
61328 KB |
Output is correct |
52 |
Correct |
367 ms |
50288 KB |
Output is correct |
53 |
Correct |
360 ms |
50288 KB |
Output is correct |
54 |
Correct |
279 ms |
25976 KB |
Output is correct |
55 |
Correct |
288 ms |
31724 KB |
Output is correct |
56 |
Correct |
367 ms |
37480 KB |
Output is correct |
57 |
Correct |
339 ms |
40928 KB |
Output is correct |
58 |
Correct |
348 ms |
41060 KB |
Output is correct |
59 |
Correct |
324 ms |
32632 KB |
Output is correct |
60 |
Correct |
343 ms |
39780 KB |
Output is correct |
61 |
Correct |
369 ms |
41828 KB |
Output is correct |
62 |
Correct |
352 ms |
41444 KB |
Output is correct |
63 |
Correct |
341 ms |
41956 KB |
Output is correct |
64 |
Correct |
340 ms |
40676 KB |
Output is correct |
65 |
Correct |
352 ms |
41828 KB |
Output is correct |