# 51nod 1287 cannon (dichotomy/Line tree)

Source: Internet
Author: User
Tags time limit

1287 Cannon Title Source: codility Base time limit: 1 seconds space limit: 131072 KB Score: 40 Difficulty: 4-level algorithm topic collection focuses on a positive integer array of length m, which represents the height of the terrain from left to right. Test a cannon, the shells parallel to the ground from left to right to fly, height is h, if the height of a terrain is greater than the height of the projectile flying H (A[i] >= h), the shells will be blocked and fall in I-1 place, then a[i-1] + 1. If H <= a[0], then this shell is invalid, if H > All A[i], this shell is not valid. Now the array B of the given n integers represents the height of the shells and calculates the final topography. For example: terrain height a = {1, 2, 0, 4, 3, 2, 1, 5, 7}, Shell height B = {2, 8, 0, 7, 6, 5, 3, 4, 5, 6, 5}, the resulting terrain height is: {2, 2, 2, 4, 3, 3, 5, 6, 7}. Input

```Line 1th: 2 number m, n is separated by a space, the length of the array A and B respectively (1 <= m, n <= 50000)
2nd to M + 1 rows: 1 numbers per line representing the corresponding terrain height (0 <= a[i] <= 1000000). The
m + 2 to n + M + 1 lines, 1 numbers per line, indicate the height of the projectile (0 <= b[i] <= 1000000).```
Output
`Outputs a total of M rows, one number per line, corresponding to the final terrain height.`
Input example
```9
1
2
0
4
3
2
1
5
7
2
8
0
7
6
5
3
4
5
6
5```
Output example
```2
2
2
4
3
3
5
6
7```

Build another array Conno, which represents the ascending sequence of h[], using two points to find the high ground of the cannon, place its previous land height at +1 and then update the Highland height. See Code

```const int maxn=5e4+10; int n,m; int H[MAXN],CONNO[MAXN]; int main () {Ios::sync_with_stdio (false);
cin>>n>>m;
int maxh=-1;
memset (conno,0,sizeof (Conno));
for (int i=1;i<=n;i++) {cin>>h[i];
Maxh=max (Maxh,h[i]);
Conno[i]=maxh;
} int gun,pos;
for (int i=1;i<=m;i++) {cin>>gun;
if (Gun<=conno[0] | | gun>conno[n]) continue;
Pos=lower_bound (Conno+1,conno+1+n,gun)-conno;
h[pos-1]++;
Conno[pos-1]=max (Conno[pos-1],h[pos-1]);
} for (int i=1;i<=n;i++) cout<```
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