```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 ``` ```//this program creats a array and fills it with random integers // then as the user inputs it searches the array for any two numbers that will sum to the input number // limits of the program the highest random integer this program will produce is 2^16-1 or 65535 because that is the maximum space for a int variable //wanted to extend this to double values but caused other errors i didn't want to deal with #include #include using namespace std; void prepareArray(int intArray[], int size); bool findPair(int intArray[], int size,int targetNum, int &firstNum, int& secondNum); //is considerably slow after array is larger than 10000 bool SortFindPair(int sortedArray[], int size, int targetNum, int& first, int& second); void findUnSummedSorted(int sortedArray[], int size); void findUnSummed(int intArray[],int size); int compare (const void * a, const void * b); int main() { // initialize const int SIZE = 10000; int intArray[SIZE]; int sortedArray[SIZE]; int targetNumber = 0, numberOne = 0, numberTwo = 0; char goAgain = 'y'; // fills the array prepareArray(intArray,SIZE); //copys and sorts the array for(int i = 0; i < SIZE; i++) sortedArray[i] = intArray[i]; qsort(sortedArray,SIZE,sizeof(int),compare); while(goAgain == 'y') { // asks user for a number to search cout << "What number would you like to find the sum to?" << endl; cin >> targetNumber; // searches for the pair and displays results cout << "sorted" << endl; if(SortFindPair(sortedArray,SIZE,targetNumber,numberOne,numberTwo)) cout << "Two numbers that sum to " << targetNumber << " are " << numberOne << " and " << numberTwo << "." << endl << endl; else cout << "Sorry but no numbers could be summed to equal " << targetNumber << endl << endl; cout << "unsorted" << endl; if(findPair(intArray,SIZE,targetNumber,numberOne,numberTwo)) cout << "Two numbers that sum to " << targetNumber << " are " << numberOne << " and " << numberTwo << "." << endl << endl; else cout << "Sorry but no numbers could be summed to equal " << targetNumber << endl << endl; cout << "Would you like to try again?" << endl; cin >> goAgain; //findUnSummedSorted(sortedArray,SIZE); //findUnSummed(intArray,SIZE); //warning this line extremely slow for SIZE values greater than 10,000 } return(0); } // fills the array with random numbers void prepareArray(int intArray[], int size) { for(int i = 0; i < size; i++) if((size - i)%(i+1)==0) intArray[i] = rand()*rand()*rand()%size; else intArray[i] = (rand()+rand())%size; for(int i = 0; i < size; i++) //prevents negetive values in the array if( intArray[i] < 0) intArray[i] = intArray[i]*-1; } // searches and array of numbers and returns true and a pair of numbers whose sum is equal to the target number, or false // if no pair of numbers exist // this will work for any array sorted or not but takes a while for large numbers bool findPair(int intArray[], int size,int targetNum, int& firstNum, int& secondNum) { // check that it's actually possible to sum to the target if(targetNum > size*2-2 || targetNum < 0) return(false); // loops through all the numbers between the first and size-1 for( int first = 0; first < size - 1; first++) { if(intArray[first] <= targetNum) // makes sure that we arent summing numbers greater than the target number { // loops through all the numbers between the first and size for(int second = first+1; second < size; second++) { if(intArray[second] <= targetNum) //makes sure that we aren't summing numbers greater than the target num { // checks to see if the sum of the first and second numbers equal the target number if(intArray[first]+intArray[second]==targetNum) { // if so sets the value of firstNum and secondNum respectively and returns true firstNum = intArray[first]; secondNum= intArray[second]; return(true); } } } // else goes to the next number } } // since no pair is found return false return(false); } void findUnSummed(int intArray[],int size) {// just for fun goes through the array and finds all the numbers that can be summed by the numbers in the array int one=0,two=0; // filling in space for the findPair function bool result = false; int totalUnSummable = 0; for(int i = 0; i < size*2 - 1; i++) { result =findPair(intArray,size,i,one,two); if(!result) { cout << i << "\t"; totalUnSummable++; } } cout << "Total number that cant be summed to is " << totalUnSummable << endl; } void findUnSummedSorted(int sortedArray[], int size) {// just for fun goes through the array and finds all the numbers that can be summed by the numbers in the array int one=0,two=0; // filling in space for the findPair function bool result = false; int totalUnSummable = 0; for(int i = 0; i < size*2 - 1; i++) { result =SortFindPair(sortedArray,size,i,one,two); if(!result) { cout << i << "\t"; totalUnSummable++; } } cout << "Total number that cant be summed to is " << totalUnSummable << endl; } int compare (const void * a, const void * b) { return ( *(int*)a - *(int*)b ); } // only works for sorted arrays bool SortFindPair(int intArray[], int size, int targetNum, int& first, int& second) { int halfwayIndex = 0, upperBoundIndex = 0,index = 0; //find halfway index= targetNum/2; // starting at the index at half of target number if(intArray[index] > targetNum/2) while(intArray[index] > targetNum/2 && index >= 0) index--; if(intArray[index] == targetNum/2) while(intArray[index-1] == targetNum/2) index--;//finds first occurence of target/2 else if (intArray[index] < targetNum/2) while(intArray[index] < targetNum/2) index++; halfwayIndex = index; // if the key is equal to half the target value great // else if the key is less than half the target increment the index until a key is found that is greater than half // set halfway to that index -1 //find upperBound // if the target number is greater than or equal to the size of the array set the upperbound to the size of the array if(targetNum >= size) upperBoundIndex = size-1; else for(int i = targetNum; i < size; i ++) { // else if the key at index targetnum is less than the value of targetNum increment the index until one is found with // a value greater than the target number // set the value of upperbound to the value of the index - 1 if(intArray[i] > targetNum) { upperBoundIndex = i; break; } upperBoundIndex = i; } //starting at the last value of the first half of the searchable array check the sum of every value in the second half of // the searchable array for equivalance with the target number starting with the first value in the second half of the array for(int firstHalfIndex = halfwayIndex; firstHalfIndex >= 0; firstHalfIndex --) { for(int secondHalfIndex = halfwayIndex+1; secondHalfIndex <= upperBoundIndex; secondHalfIndex++) { if(intArray[firstHalfIndex] + intArray[secondHalfIndex] == targetNum) { first = intArray[firstHalfIndex]; second = intArray[secondHalfIndex]; return (true); } } } return(false); } ```
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2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 ``` ```What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? What number would you like to find the sum to? sorted Sorry but no numbers could be summed to equal 0 unsorted Sorry but no numbers could be summed to equal 0 Would you like to try again? 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