VariablesGrid VariablesGrid::getTimeSubGrid( double startTime,
double endTime
) const
{
uint startIdx = getCeilIndex( startTime );
uint endIdx = getFloorIndex( endTime );
VariablesGrid newVariablesGrid;
if ( ( isInInterval( startTime ) == BT_FALSE ) || ( isInInterval( endTime ) == BT_FALSE ) )
return newVariablesGrid;
if ( ( startIdx >= getNumPoints( ) ) || ( endIdx >= getNumPoints( ) ) )
return newVariablesGrid;
// if ( startIdx > endIdx )
// return newVariablesGrid;
// add all matrices in interval (constant interpolation)
if ( ( hasTime( startTime ) == BT_FALSE ) && ( startIdx > 0 ) )
newVariablesGrid.addMatrix( *(values[ startIdx-1 ]),startTime );
for( uint i=startIdx; i<=endIdx; ++i )
newVariablesGrid.addMatrix( *(values[i]),getTime( i ) );
if ( hasTime( endTime ) == BT_FALSE )
newVariablesGrid.addMatrix( *(values[ endIdx ]),endTime );
return newVariablesGrid;
}
int lengthOfLIS(vector<int>& nums) {
// Method 1: Dynamic programming - O(n^2) time
/*if (nums.empty()) return 0;
vector<int> maxLISLengthSoFar(nums.size(), 0);
int overallMax = INT_MIN;
for (int i = 0; i < nums.size(); i++) {
for (int j = i - 1; j >= 0; j--) {
if (nums[j] < nums[i])
maxLISLengthSoFar[i] = max(maxLISLengthSoFar[j], maxLISLengthSoFar[i]);
}
++maxLISLengthSoFar[i];
overallMax = max(overallMax, maxLISLengthSoFar[i]);
}
return overallMax;*/
// Method 2: Binary search - O(n log n) time
if (nums.empty()) return 0;
vector<int> maxLISLengthSoFar(nums.size(), 0);
maxLISLengthSoFar[0] = nums[0];
int length = 1;
for (int i = 1; i < nums.size(); i++) {
if (nums[i] < maxLISLengthSoFar[0])
maxLISLengthSoFar[0] = nums[i];
else if (nums[i] > maxLISLengthSoFar[length - 1])
maxLISLengthSoFar[length++] = nums[i];
else
maxLISLengthSoFar[getCeilIndex(maxLISLengthSoFar, 0, length - 1, nums[i])] = nums[i];
}
return length;
}