topcoder/QuickSums.cpp at master · arshdeep/topcoder · GitHub

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#include<iostream>
#include<cstdio>
#include<vector>
#include<cassert>
#include<sstream>
#include<set>
#include<unordered_map>
#include<map>
#include<algorithm>
#include<time.h>
usingnamespacestd;
/* QuickSums https://www.topcoder.com/stat?c=problem_statement&pm=2829&rd=5072 */

classQuickSums
{
private:
intparseInt(string str);
	string normalizeIntString(string str);
public:
intminSums(string numbers, int sum);
};

intQuickSums::parseInt(string str)
{
	istringstream ss(str);
int ret;

	ss >> ret;

return ret;
}

string QuickSums::normalizeIntString(string str)
{
	istringstream ss(str);
	__int64 ret;

	ss >> ret;
	stringstream ss2;

	ss2 << ret;
return ss2.str();
}

#defineMAXSUM100
intQuickSums::minSums(string numbers, int sum)
{
	numbers = normalizeIntString(numbers);
int len = numbers.length();
int dp[10][10][101];

for (int i = 0; i < len; ++i)
	{
for (int j = 0; j < len; ++j)
 {
for (int k = 0; k <= sum; ++k)
 dp[i][j][k] = INT_MAX;
 }
	}

for (int idx = 0; idx < len; ++idx)
	{
 dp[idx][idx][parseInt(numbers.substr(idx, 1))] = 0;
	}

for (int gap = 1; gap < len; ++gap)
	{
for (int i = 0, j = gap; j < len; ++i, ++j)
 {
int v = parseInt(numbers.substr(i, j - i + 1));
if (v > 0 && v < sum)
 dp[i][j][v] = 0;
for (int k = i; k < j; ++k)
 {
for (int s1 = 0; s1 < sum; ++s1)
 {
for (int s2 = 0; s2 + s1 <= sum; ++s2)
 {
if (dp[i][k][s1] < INT_MAX && dp[k + 1][j][s2] < INT_MAX)
 dp[i][j][s1 + s2] = std::min(dp[i][j][s1 + s2], dp[i][k][s1] + dp[k + 1][j][s2] + 1);
 }
 }
 }
 }
	}

return dp[0][len-1][sum] < INT_MAX ? dp[0][len-1][sum] : -1;
}

voidTEST(string numbers, int sum, int expected)
{
clock_t start, end;
double cpu_time_used;

	start = clock();
	QuickSums quickSums;

int result = quickSums.minSums( numbers, sum);

assert( result == expected );

	end = clock();
	cpu_time_used = ((double) (end - start));
	cout<<"Time taken : "<<cpu_time_used<<endl;
}


voidTest1()
{
TEST("99999", 45, 4);
TEST("382834", 100, 2);
TEST("99999", 100, -1);
TEST("9230560001", 71, 4);
TEST("0123456789", 45, 8);
TEST("0000000001", 1, 0);
TEST("8833614925", 100, -1);
TEST("1", 1, 0);
TEST("1000000001", 2, 1);
TEST("1000000001", 11, 1);
TEST("0220120200", 63, 4);
}

voidTest2()
{

}

voidTest3()
{

}

voidTest4()
{

}

voidTest5()
{

}

voidTest6()
{

}

intmain()
{
Test1();
Test2();
Test3();
Test4();
Test5();
Test6();

	cout<<"success";

getchar();
return0;
}