## Thursday, November 6, 2014

### UVa Problem 231 - Testing the CATCHER

Problem:

Solution:

Competitive Programming is right - this is just straightforward application of the longest increasing sub-sequence algorithm.

Code:

#include "stdafx.h"

// http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=167

#include "UVa231.h"

#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

int UVa231()
{
int c = 0;
while (true)
{
c++;
vector<int> missile_heights;
while (true)
{
int missile_height;
cin >> missile_height;
if (missile_height == -1)
{
break;
}

missile_heights.push_back(missile_height);
}

if (missile_heights.size() == 0)
{
break;
}

// represents the longest_decreasing_sequence_length that ends at the index
vector<int> longest_decreasing_sequence_lengths;
longest_decreasing_sequence_lengths.push_back(1);

// represents the longest_decreasing_sequence_length that ends at any index
int the_longest_decreasing_sequence_length = 1;

for (unsigned int i = 1; i < missile_heights.size(); i++)
{
int longest_decreasing_sequence_length = 1;
for (unsigned int j = 0; j < i; j++)
{
if (missile_heights[j] >= missile_heights[i])
{
longest_decreasing_sequence_length = max(longest_decreasing_sequence_length, longest_decreasing_sequence_lengths[j] + 1);
}
}

longest_decreasing_sequence_lengths.push_back(longest_decreasing_sequence_length);
the_longest_decreasing_sequence_length = max(the_longest_decreasing_sequence_length, longest_decreasing_sequence_length);
}

if (c != 1)
{
cout << endl;
}

cout << "Test #" << c << ":" << endl;
cout << "  maximum possible interceptions : " << the_longest_decreasing_sequence_length << endl;
}
return 0;
}