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added a new function to improve time complexity

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WhatIfAllPricesAreSame(price1,n1) added this function.
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ABHISHEK-821005 2020-10-28 17:53:40 +05:30 committed by GitHub
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commit b76e41bf2e
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1 changed files with 9 additions and 40 deletions
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dynamic_programming/cut_rod.cpp
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@ -41,7 +41,7 @@ namespace cut_rod {
* @return maximum profit obtainable for @param n inch rod. * @return maximum profit obtainable for @param n inch rod.
*/ */
template <size_t T> template <size_t T>
int maxProfitByCuttingRod(const std::array<int, T> &price, const int n) { int maxProfitByCuttingRod(const std::array<int, T> &price, const uint64_t &n) {
int *profit = int *profit =
new int[n + 1]; // profit[i] will hold maximum profit for i inch rod new int[n + 1]; // profit[i] will hold maximum profit for i inch rod
@ -62,48 +62,23 @@ int maxProfitByCuttingRod(const std::array<int, T> &price, const int n) {
return ans; // returning maximum profit return ans; // returning maximum profit
} }
template <size_t T> template <size_t T>
bool WhatIfAllPricesAreSame(const std::array<int, T> &price, const uint64_t &n){ bool WhatIfAllPricesAreSame(const std::array<int, T> &price, const uint64_t &n){
/* /*
Note that if all the prices of the different lengths of rod are same the answer will be always n*price; Note that if all the prices of the different lengths of rod are same the answer will be always n*price;
where price=price of 1 length rod where price=price of 1 length rod
Reason:: Reason::-->
cR() ---> cutRod()
cR(4)
/ /
/ /
cR(3) cR(2) cR(1) cR(0)
/ | / |
/ | / |
cR(2) cR(1) cR(0) cR(1) cR(0) cR(0)
/ | |
/ | |
cR(1) cR(0) cR(0) cR(0)
/
/
CR(0)
if every length has same price , you would definitely want the rod of length 1, with n quantities. if every length has same price , you would definitely want the rod of length 1, with n quantities.
which will give us maximum profits and maximum cuts. which will give us maximum profits and maximum cuts.
*/ */
const int16_t temp=price[0];
const int temp=price[0];
for (size_t i = 1; i <n; i++) { for (size_t i = 1; i <n; i++) {
if(price[i]!=temp) if(price[i]!=temp)
return false; return false;
} }
return true; return true;
}// checks whether all the prices are same or not }// checks whether all the prices are same or not
} // namespace cut_rod } // namespace cut_rod
} // namespace dynamic_programming } // namespace dynamic_programming
@ -112,31 +87,25 @@ CR(0)
* @returns void * @returns void
*/ */
static void test() { static void test() {
// Test 1 // Test 1
const int n1 = 8; // size of rod const int16_t n1 = 8; // size of rod
std::array<int, n1> price1 = {1, 1,1,1,1,1,1,1}; // price array std::array<int32_t, n1> price1 = {1,1,1,1,1,1,1,1}; // price array
const int max_profit1 = const int64_t max_profit1 =
dynamic_programming::cut_rod::maxProfitByCuttingRod(price1, n1); dynamic_programming::cut_rod::maxProfitByCuttingRod(price1, n1);
const int expected_max_profit1 = 22; const int32_t expected_max_profit1 = 22;
if(dynamic_programming::cut_rod::WhatIfAllPricesAreSame(price1,n1)){ if (dynamic_programming::cut_rod::WhatIfAllPricesAreSame(price1,n1)) {
std::cout << "Maximum profit with " << n1 << " inch road is " <<(n1)*price1[0] std::cout << "Maximum profit with " << n1 << " inch road is " <<(n1)*price1[0]
<< std::endl; << std::endl;
} }
else{ else {
assert(max_profit1 == expected_max_profit1); assert(max_profit1 == expected_max_profit1);
std::cout << "Maximum profit with " << n1 << " inch road is " << max_profit1 std::cout << "Maximum profit with " << n1 << " inch road is " << max_profit1
<< std::endl; << std::endl;
} }
// Test 2 // Test 2
const int n2 = 30; // size of rod const int n2 = 30; // size of rod
std::array<int, n2> price2 = { std::array<int, n2> price2 = {