#include <bits/stdc++.h>
#include "xylophone.h"
using namespace std;
using ll = long long;
#define MAXN (1000005)
void solve(int N) {
ll low = 1;
ll high = N + 1;
while(high - low > 1){
ll mid = (high + low) / 2;
ll diff = query(mid,N);
if(diff == N - 1){
low = mid;
}else{
high = mid;
}
}
ll posof1 = low;
ll val[N + 1]; //pos of value i
memset(val,-1,sizeof(val));
val[1] = posof1;
ll pos[N + 1]; //value of pos i
memset(pos,-1,sizeof(pos));
pos[posof1] = 1;
for(ll i = posof1 + 1;i <= N;i++){ //all index are 1-indexed
ll adjdiff = query(i - 1,i);
if(pos[i - 1] - adjdiff < 1 || val[pos[i - 1] - adjdiff] != -1){
pos[i] = pos[i - 1] + adjdiff;
val[pos[i - 1] + adjdiff] = i;
}else if(pos[i - 1] + adjdiff > N || val[pos[i - 1] + adjdiff] != -1){
pos[i] = pos[i - 1] - adjdiff;
val[pos[i - 1] - adjdiff] = i;
}else{ //I can prove this is at least 2 spaces away from val 1
ll diff = query(i - 2,i);
ll I1 = pos[i - 1] - adjdiff;
ll I2 = pos[i - 1] + adjdiff;
if(diff == abs(pos[i - 1] - pos[i - 2])){
assert(pos[i - 1] != pos[i - 2]);
if(pos[i - 1] > pos[i - 2]){
pos[i] = pos[i - 1] - adjdiff;
val[pos[i - 1] - adjdiff] = i;
}else{
pos[i] = pos[i - 1] + adjdiff;
val[pos[i - 1] + adjdiff] = i;
}
}else if(diff == max({I1,pos[i - 1],pos[i - 2]}) - min({I1,pos[i - 1],pos[i - 2]})){
assert(diff != 0);
pos[i] = I1;
val[I1] = i;
}else if(diff == max({I2,pos[i - 1],pos[i - 2]}) - min({I2,pos[i - 1],pos[i - 2]})){
assert(diff != 0);
pos[i] = I2;
val[I2] = i;
}
}
}
for(ll i = posof1 - 1;i >= 1;i--){ //all index are 1-indexed
ll adjdiff = query(i,i + 1);
if(pos[i + 1] - adjdiff < 1 || val[pos[i + 1] - adjdiff] != -1){
pos[i] = pos[i + 1] + adjdiff;
val[pos[i + 1] + adjdiff] = i;
}else if(pos[i + 1] + adjdiff > N || val[pos[i + 1] + adjdiff] != -1){
pos[i] = pos[i + 1] - adjdiff;
val[pos[i + 1] - adjdiff] = i;
}else{ //I can prove this is at least 2 spaces away from val 1
ll diff = query(i,i + 2);
ll I1 = pos[i + 1] - adjdiff;
ll I2 = pos[i + 1] + adjdiff;
if(diff == abs(pos[i + 1] - pos[i + 2])){
assert(pos[i + 1] != pos[i + 2]);
if(pos[i + 1] > pos[i + 2]){
pos[i] = pos[i + 1] - adjdiff;
val[pos[i + 1] - adjdiff] = i;
}else{
pos[i] = pos[i + 1] + adjdiff;
val[pos[i + 1] + adjdiff] = i;
}
}else if(diff == max({I1,pos[i + 1],pos[i + 2]}) - min({I1,pos[i + 1],pos[i + 2]})){
assert(diff != 0);
pos[i] = I1;
val[I1] = i;
}else if(diff == max({I2,pos[i + 1],pos[i + 2]}) - min({I2,pos[i + 1],pos[i + 2]})){
assert(diff != 0);
pos[i] = I2;
val[I2] = i;
}
}
}
for(ll i = 1;i <= N;i++){
answer(i,pos[i]);
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
344 KB |
Output is correct |
| 8 |
Correct |
1 ms |
596 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
1 ms |
344 KB |
Output is correct |
| 13 |
Correct |
1 ms |
344 KB |
Output is correct |
| 14 |
Correct |
1 ms |
344 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
344 KB |
Output is correct |
| 8 |
Correct |
1 ms |
596 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
1 ms |
344 KB |
Output is correct |
| 13 |
Correct |
1 ms |
344 KB |
Output is correct |
| 14 |
Correct |
1 ms |
344 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
1 ms |
344 KB |
Output is correct |
| 17 |
Correct |
2 ms |
684 KB |
Output is correct |
| 18 |
Correct |
4 ms |
688 KB |
Output is correct |
| 19 |
Correct |
5 ms |
440 KB |
Output is correct |
| 20 |
Correct |
6 ms |
688 KB |
Output is correct |
| 21 |
Correct |
5 ms |
436 KB |
Output is correct |
| 22 |
Correct |
5 ms |
436 KB |
Output is correct |
| 23 |
Correct |
4 ms |
692 KB |
Output is correct |
| 24 |
Correct |
4 ms |
448 KB |
Output is correct |
| 25 |
Correct |
5 ms |
448 KB |
Output is correct |
| 26 |
Correct |
5 ms |
696 KB |
Output is correct |
| 27 |
Correct |
6 ms |
452 KB |
Output is correct |
| 28 |
Correct |
5 ms |
692 KB |
Output is correct |
| 29 |
Correct |
5 ms |
432 KB |
Output is correct |
| 30 |
Correct |
5 ms |
448 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
344 KB |
Output is correct |
| 8 |
Correct |
1 ms |
596 KB |
Output is correct |
| 9 |
Correct |
1 ms |
344 KB |
Output is correct |
| 10 |
Correct |
1 ms |
344 KB |
Output is correct |
| 11 |
Correct |
1 ms |
344 KB |
Output is correct |
| 12 |
Correct |
1 ms |
344 KB |
Output is correct |
| 13 |
Correct |
1 ms |
344 KB |
Output is correct |
| 14 |
Correct |
1 ms |
344 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
1 ms |
344 KB |
Output is correct |
| 17 |
Correct |
2 ms |
684 KB |
Output is correct |
| 18 |
Correct |
4 ms |
688 KB |
Output is correct |
| 19 |
Correct |
5 ms |
440 KB |
Output is correct |
| 20 |
Correct |
6 ms |
688 KB |
Output is correct |
| 21 |
Correct |
5 ms |
436 KB |
Output is correct |
| 22 |
Correct |
5 ms |
436 KB |
Output is correct |
| 23 |
Correct |
4 ms |
692 KB |
Output is correct |
| 24 |
Correct |
4 ms |
448 KB |
Output is correct |
| 25 |
Correct |
5 ms |
448 KB |
Output is correct |
| 26 |
Correct |
5 ms |
696 KB |
Output is correct |
| 27 |
Correct |
6 ms |
452 KB |
Output is correct |
| 28 |
Correct |
5 ms |
692 KB |
Output is correct |
| 29 |
Correct |
5 ms |
432 KB |
Output is correct |
| 30 |
Correct |
5 ms |
448 KB |
Output is correct |
| 31 |
Correct |
13 ms |
464 KB |
Output is correct |
| 32 |
Correct |
15 ms |
684 KB |
Output is correct |
| 33 |
Correct |
27 ms |
724 KB |
Output is correct |
| 34 |
Correct |
27 ms |
484 KB |
Output is correct |
| 35 |
Correct |
30 ms |
488 KB |
Output is correct |
| 36 |
Correct |
25 ms |
504 KB |
Output is correct |
| 37 |
Correct |
20 ms |
432 KB |
Output is correct |
| 38 |
Correct |
30 ms |
684 KB |
Output is correct |
| 39 |
Correct |
34 ms |
492 KB |
Output is correct |
| 40 |
Correct |
24 ms |
488 KB |
Output is correct |
| 41 |
Correct |
27 ms |
440 KB |
Output is correct |
| 42 |
Correct |
24 ms |
488 KB |
Output is correct |
| 43 |
Correct |
25 ms |
484 KB |
Output is correct |
| 44 |
Correct |
21 ms |
684 KB |
Output is correct |
| 45 |
Correct |
26 ms |
500 KB |
Output is correct |
| 46 |
Correct |
25 ms |
508 KB |
Output is correct |
| 47 |
Correct |
30 ms |
496 KB |
Output is correct |
| 48 |
Correct |
34 ms |
492 KB |
Output is correct |
| 49 |
Correct |
33 ms |
488 KB |
Output is correct |
| 50 |
Correct |
27 ms |
684 KB |
Output is correct |
| 51 |
Correct |
29 ms |
484 KB |
Output is correct |
| 52 |
Correct |
27 ms |
488 KB |
Output is correct |
| 53 |
Correct |
36 ms |
500 KB |
Output is correct |
| 54 |
Correct |
27 ms |
680 KB |
Output is correct |
| 55 |
Correct |
34 ms |
488 KB |
Output is correct |
| 56 |
Correct |
29 ms |
524 KB |
Output is correct |
| 57 |
Correct |
25 ms |
504 KB |
Output is correct |
| 58 |
Correct |
29 ms |
504 KB |
Output is correct |
| 59 |
Correct |
28 ms |
684 KB |
Output is correct |
| 60 |
Correct |
25 ms |
484 KB |
Output is correct |
