Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Sure, here's a C version of your Python program. Please note that C doesn't have a direct equivalent to Python's list comprehension, so we'll have to initialize the multi-dimensional arrays manually. Also, C doesn't have a direct equivalent to Python's append function for arrays, so we'll use a dynamic array to store the taken lines.
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 | #include <stdio.h> #include <stdlib.h> #include <math.h> typedef struct { int size; int capacity; int* items; } DynamicArray; DynamicArray* createDynamicArray(int capacity) { DynamicArray* array = (DynamicArray*)malloc(sizeof(DynamicArray)); array->items = (int*)malloc(capacity * sizeof(int)); array->capacity = capacity; array->size = 0; return array; } void push(DynamicArray* array, int item) { if (array->size == array->capacity) { array->capacity *= 2; array->items = (int*)realloc(array->items, array->capacity * sizeof(int)); } array->items[array->size++] = item; } float solve_dp(float* arr, int size, int lines_left) { float dp[size + 1][lines_left + 1][10]; int how[size + 1][lines_left + 1][10]; for (int i = 0; i <= size; i++) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { dp[i][j][k] = 1e9; how[i][j][k] = -1; } } } for (int i = size; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == size && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < size && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < size && j > 0) { float cost = arr[i] + pow(k - 8, 2); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } // Reconstruct the solution DynamicArray* taken_lines = createDynamicArray(size); int i = 0, j = lines_left, k = 6; while (i < size) { if (how[i][j][k] == 0) { // Chose to take the line push(taken_lines, size - i); i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Print taken lines for (int i = 0; i < taken_lines->size; i++) { printf("%d ", taken_lines->items[i]); } printf("\n"); return dp[0][lines_left][6]; } |
I extracted the following code from that output:
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 | #include <stdio.h> #include <stdlib.h> #include <math.h> typedef struct { int size; int capacity; int* items; } DynamicArray; DynamicArray* createDynamicArray(int capacity) { DynamicArray* array = (DynamicArray*)malloc(sizeof(DynamicArray)); array->items = (int*)malloc(capacity * sizeof(int)); array->capacity = capacity; array->size = 0; return array; } void push(DynamicArray* array, int item) { if (array->size == array->capacity) { array->capacity *= 2; array->items = (int*)realloc(array->items, array->capacity * sizeof(int)); } array->items[array->size++] = item; } float solve_dp(float* arr, int size, int lines_left) { float dp[size + 1][lines_left + 1][10]; int how[size + 1][lines_left + 1][10]; for (int i = 0; i <= size; i++) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { dp[i][j][k] = 1e9; how[i][j][k] = -1; } } } for (int i = size; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == size && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < size && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < size && j > 0) { float cost = arr[i] + pow(k - 8, 2); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } // Reconstruct the solution DynamicArray* taken_lines = createDynamicArray(size); int i = 0, j = lines_left, k = 6; while (i < size) { if (how[i][j][k] == 0) { // Chose to take the line push(taken_lines, size - i); i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Print taken lines for (int i = 0; i < taken_lines->size; i++) { printf("%d ", taken_lines->items[i]); } printf("\n"); return dp[0][lines_left][6]; } |
Running the following program:
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 | #include <stdio.h> #include <stdlib.h> #include <math.h> typedef struct { int size; int capacity; int* items; } DynamicArray; DynamicArray* createDynamicArray(int capacity) { DynamicArray* array = (DynamicArray*)malloc(sizeof(DynamicArray)); array->items = (int*)malloc(capacity * sizeof(int)); array->capacity = capacity; array->size = 0; return array; } void push(DynamicArray* array, int item) { if (array->size == array->capacity) { array->capacity *= 2; array->items = (int*)realloc(array->items, array->capacity * sizeof(int)); } array->items[array->size++] = item; } float solve_dp(float* arr, int size, int lines_left) { float dp[size + 1][lines_left + 1][10]; int how[size + 1][lines_left + 1][10]; for (int i = 0; i <= size; i++) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { dp[i][j][k] = 1e9; how[i][j][k] = -1; } } } for (int i = size; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == size && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < size && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < size && j > 0) { float cost = arr[i] + pow(k - 8, 2); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } // Reconstruct the solution DynamicArray* taken_lines = createDynamicArray(size); int i = 0, j = lines_left, k = 6; while (i < size) { if (how[i][j][k] == 0) { // Chose to take the line push(taken_lines, size - i); i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Print taken lines for (int i = 0; i < taken_lines->size; i++) { printf("%d ", taken_lines->items[i]); } printf("\n"); return dp[0][lines_left][6]; } #include<stdio.h> #include<stdlib.h> int main() { float arr[] = {71, 89, 34, 63, 19, 94, 54, 61, 88, 20, 66, 46, 26, 87, 55, 81, 6, 2, 72, 75, 98, 78, 24, 95, 73, 7, 56, 48, 14, 99, 64, 51, 69, 77, 28, 47, 8, 22, 49, 3, 62, 32, 10, 82, 35, 18, 85, 60, 83, 23, 5, 40, 41, 68, 53, 52, 44, 45, 65, 84, 93, 25, 13, 1, 31, 11, 12, 97, 38, 0, 43, 90, 36, 70, 33, 17, 21, 30, 16, 15, 74, 67, 58, 37, 39, 96, 79, 29, 27, 92, 86, 9, 80, 42, 57, 91, 59, 4, 76, 50}; int answer = solve_dp(arr, 100, 100); int expected = 11290; if (answer != expected) { printf("Wrong answer; got %d instead of %d.\n", answer, expected); exit(1); } printf("All tests passed\n"); } |
100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
All tests passed
Testing if the previous output contains the string All tests passed
: True
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Sure, here's a C version of your Python program. Please note that C doesn't have a direct equivalent to Python's list, so we'll use dynamic memory allocation for the multi-dimensional arrays. Also, C doesn't have a built-in function to return a list, so I've used a function to print the taken lines.
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 | #include <stdio.h> #include <stdlib.h> #include <math.h> #define INF 1e9 void solve_dp(float* graph, int size, int lines_left) { int i, j, k; float*** dp = (float***)malloc((size + 1) * sizeof(float**)); int*** how = (int***)malloc((size + 1) * sizeof(int**)); for(i = 0; i <= size; i++) { dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for(j = 0; j <= lines_left; j++) { dp[i][j] = (float*)malloc(10 * sizeof(float)); how[i][j] = (int*)malloc(10 * sizeof(int)); for(k = 0; k < 10; k++) { dp[i][j][k] = INF; how[i][j][k] = -1; } } } for(i = size; i >= 0; i--) { for(j = 0; j <= lines_left; j++) { for(k = 0; k < 10; k++) { if(i == size && j == 0) { dp[i][j][k] = 0; } else { if(i < size && k < 9) { if(dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; } } if(i < size && j > 0) { float cost = graph[i] + pow(k - 8, 2); if(cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; } } } } } } i = 0; j = lines_left; k = 6; printf("Taken lines: "); while(i < size) { if(how[i][j][k] == 0) { printf("%d ", size - i); i++; j--; k = 0; } else { i++; k++; } } printf("\n"); for(i = 0; i <= size; i++) { for(j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); } |
I extracted the following code from that output:
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 | #include <stdio.h> #include <stdlib.h> #include <math.h> #define INF 1e9 void solve_dp(float* graph, int size, int lines_left) { int i, j, k; float*** dp = (float***)malloc((size + 1) * sizeof(float**)); int*** how = (int***)malloc((size + 1) * sizeof(int**)); for(i = 0; i <= size; i++) { dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for(j = 0; j <= lines_left; j++) { dp[i][j] = (float*)malloc(10 * sizeof(float)); how[i][j] = (int*)malloc(10 * sizeof(int)); for(k = 0; k < 10; k++) { dp[i][j][k] = INF; how[i][j][k] = -1; } } } for(i = size; i >= 0; i--) { for(j = 0; j <= lines_left; j++) { for(k = 0; k < 10; k++) { if(i == size && j == 0) { dp[i][j][k] = 0; } else { if(i < size && k < 9) { if(dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; } } if(i < size && j > 0) { float cost = graph[i] + pow(k - 8, 2); if(cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; } } } } } } i = 0; j = lines_left; k = 6; printf("Taken lines: "); while(i < size) { if(how[i][j][k] == 0) { printf("%d ", size - i); i++; j--; k = 0; } else { i++; k++; } } printf("\n"); for(i = 0; i <= size; i++) { for(j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); } |
Running the following program:
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 | #include <stdio.h> #include <stdlib.h> #include <math.h> #define INF 1e9 void solve_dp(float* graph, int size, int lines_left) { int i, j, k; float*** dp = (float***)malloc((size + 1) * sizeof(float**)); int*** how = (int***)malloc((size + 1) * sizeof(int**)); for(i = 0; i <= size; i++) { dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for(j = 0; j <= lines_left; j++) { dp[i][j] = (float*)malloc(10 * sizeof(float)); how[i][j] = (int*)malloc(10 * sizeof(int)); for(k = 0; k < 10; k++) { dp[i][j][k] = INF; how[i][j][k] = -1; } } } for(i = size; i >= 0; i--) { for(j = 0; j <= lines_left; j++) { for(k = 0; k < 10; k++) { if(i == size && j == 0) { dp[i][j][k] = 0; } else { if(i < size && k < 9) { if(dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; } } if(i < size && j > 0) { float cost = graph[i] + pow(k - 8, 2); if(cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; } } } } } } i = 0; j = lines_left; k = 6; printf("Taken lines: "); while(i < size) { if(how[i][j][k] == 0) { printf("%d ", size - i); i++; j--; k = 0; } else { i++; k++; } } printf("\n"); for(i = 0; i <= size; i++) { for(j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); } #include<stdio.h> #include<stdlib.h> int main() { float arr[] = {71, 89, 34, 63, 19, 94, 54, 61, 88, 20, 66, 46, 26, 87, 55, 81, 6, 2, 72, 75, 98, 78, 24, 95, 73, 7, 56, 48, 14, 99, 64, 51, 69, 77, 28, 47, 8, 22, 49, 3, 62, 32, 10, 82, 35, 18, 85, 60, 83, 23, 5, 40, 41, 68, 53, 52, 44, 45, 65, 84, 93, 25, 13, 1, 31, 11, 12, 97, 38, 0, 43, 90, 36, 70, 33, 17, 21, 30, 16, 15, 74, 67, 58, 37, 39, 96, 79, 29, 27, 92, 86, 9, 80, 42, 57, 91, 59, 4, 76, 50}; int answer = solve_dp(arr, 100, 100); int expected = 11290; if (answer != expected) { printf("Wrong answer; got %d instead of %d.\n", answer, expected); exit(1); } printf("All tests passed\n"); } |
main.c: In function 'main':
main.c:86:14: error: void value not ignored as it ought to be
86 | int answer = solve_dp(arr, 100, 100);
| ^~~~~~~~
main.sh: line 2: ./a.out: No such file or directory
Testing if the previous output contains the string All tests passed
: False
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's the C version of the given Python program with the requested type signature `float solve_dp(float* arr, int size, int lines_left)`:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> #define MAX(a, b) ((a) > (b) ? (a) : (b)) #define MIN(a, b) ((a) < (b) ? (a) : (b)) typedef struct { float*** dp; int*** how; } Memo; Memo init_memo(int n, int lines_left) { int i, j, k; Memo memo; memo.dp = (float***)malloc((n + 1) * sizeof(float**)); memo.how = (int***)malloc((n + 1) * sizeof(int**)); for (i = 0; i <= n; i++) { memo.dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); memo.how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for (j = 0; j <= lines_left; j++) { memo.dp[i][j] = (float*)malloc(10 * sizeof(float)); memo.how[i][j] = (int*)malloc(10 * sizeof(int)); for (k = 0; k < 10; k++) { memo.dp[i][j][k] = 1e9; memo.how[i][j][k] = -1; } } } return memo; } void free_memo(Memo memo, int n, int lines_left) { int i, j; for (i = 0; i <= n; i++) { for (j = 0; j <= lines_left; j++) { free(memo.dp[i][j]); free(memo.how[i][j]); } free(memo.dp[i]); free(memo.how[i]); } free(memo.dp); free(memo.how); } float solve_dp(float* arr, int size, int lines_left) { int i, j, k; Memo memo = init_memo(size, lines_left); for (i = size; i >= 0; i--) { for (j = 0; j <= lines_left; j++) { for (k = 0; k < 10; k++) { if (i == size && j == 0) { memo.dp[i][j][k] = 0; } else { if (i < size && k < 9) { if (memo.dp[i + 1][j][k + 1] < memo.dp[i][j][k]) { memo.dp[i][j][k] = memo.dp[i + 1][j][k + 1]; memo.how[i][j][k] = k + 1; } } if (i < size && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + memo.dp[i + 1][j - 1][0] < memo.dp[i][j][k]) { memo.dp[i][j][k] = cost + memo.dp[i + 1][j - 1][0]; memo.how[i][j][k] = 0; } } } } } } float result = memo.dp[0][lines_left][6]; free_memo(memo, size, lines_left); return result; } |
I extracted the following code from that output:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> #define MAX(a, b) ((a) > (b) ? (a) : (b)) #define MIN(a, b) ((a) < (b) ? (a) : (b)) typedef struct { float*** dp; int*** how; } Memo; Memo init_memo(int n, int lines_left) { int i, j, k; Memo memo; memo.dp = (float***)malloc((n + 1) * sizeof(float**)); memo.how = (int***)malloc((n + 1) * sizeof(int**)); for (i = 0; i <= n; i++) { memo.dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); memo.how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for (j = 0; j <= lines_left; j++) { memo.dp[i][j] = (float*)malloc(10 * sizeof(float)); memo.how[i][j] = (int*)malloc(10 * sizeof(int)); for (k = 0; k < 10; k++) { memo.dp[i][j][k] = 1e9; memo.how[i][j][k] = -1; } } } return memo; } void free_memo(Memo memo, int n, int lines_left) { int i, j; for (i = 0; i <= n; i++) { for (j = 0; j <= lines_left; j++) { free(memo.dp[i][j]); free(memo.how[i][j]); } free(memo.dp[i]); free(memo.how[i]); } free(memo.dp); free(memo.how); } float solve_dp(float* arr, int size, int lines_left) { int i, j, k; Memo memo = init_memo(size, lines_left); for (i = size; i >= 0; i--) { for (j = 0; j <= lines_left; j++) { for (k = 0; k < 10; k++) { if (i == size && j == 0) { memo.dp[i][j][k] = 0; } else { if (i < size && k < 9) { if (memo.dp[i + 1][j][k + 1] < memo.dp[i][j][k]) { memo.dp[i][j][k] = memo.dp[i + 1][j][k + 1]; memo.how[i][j][k] = k + 1; } } if (i < size && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + memo.dp[i + 1][j - 1][0] < memo.dp[i][j][k]) { memo.dp[i][j][k] = cost + memo.dp[i + 1][j - 1][0]; memo.how[i][j][k] = 0; } } } } } } float result = memo.dp[0][lines_left][6]; free_memo(memo, size, lines_left); return result; } |
Running the following program:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> #define MAX(a, b) ((a) > (b) ? (a) : (b)) #define MIN(a, b) ((a) < (b) ? (a) : (b)) typedef struct { float*** dp; int*** how; } Memo; Memo init_memo(int n, int lines_left) { int i, j, k; Memo memo; memo.dp = (float***)malloc((n + 1) * sizeof(float**)); memo.how = (int***)malloc((n + 1) * sizeof(int**)); for (i = 0; i <= n; i++) { memo.dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); memo.how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for (j = 0; j <= lines_left; j++) { memo.dp[i][j] = (float*)malloc(10 * sizeof(float)); memo.how[i][j] = (int*)malloc(10 * sizeof(int)); for (k = 0; k < 10; k++) { memo.dp[i][j][k] = 1e9; memo.how[i][j][k] = -1; } } } return memo; } void free_memo(Memo memo, int n, int lines_left) { int i, j; for (i = 0; i <= n; i++) { for (j = 0; j <= lines_left; j++) { free(memo.dp[i][j]); free(memo.how[i][j]); } free(memo.dp[i]); free(memo.how[i]); } free(memo.dp); free(memo.how); } float solve_dp(float* arr, int size, int lines_left) { int i, j, k; Memo memo = init_memo(size, lines_left); for (i = size; i >= 0; i--) { for (j = 0; j <= lines_left; j++) { for (k = 0; k < 10; k++) { if (i == size && j == 0) { memo.dp[i][j][k] = 0; } else { if (i < size && k < 9) { if (memo.dp[i + 1][j][k + 1] < memo.dp[i][j][k]) { memo.dp[i][j][k] = memo.dp[i + 1][j][k + 1]; memo.how[i][j][k] = k + 1; } } if (i < size && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + memo.dp[i + 1][j - 1][0] < memo.dp[i][j][k]) { memo.dp[i][j][k] = cost + memo.dp[i + 1][j - 1][0]; memo.how[i][j][k] = 0; } } } } } } float result = memo.dp[0][lines_left][6]; free_memo(memo, size, lines_left); return result; } #include<stdio.h> #include<stdlib.h> int main() { float arr[] = {71, 89, 34, 63, 19, 94, 54, 61, 88, 20, 66, 46, 26, 87, 55, 81, 6, 2, 72, 75, 98, 78, 24, 95, 73, 7, 56, 48, 14, 99, 64, 51, 69, 77, 28, 47, 8, 22, 49, 3, 62, 32, 10, 82, 35, 18, 85, 60, 83, 23, 5, 40, 41, 68, 53, 52, 44, 45, 65, 84, 93, 25, 13, 1, 31, 11, 12, 97, 38, 0, 43, 90, 36, 70, 33, 17, 21, 30, 16, 15, 74, 67, 58, 37, 39, 96, 79, 29, 27, 92, 86, 9, 80, 42, 57, 91, 59, 4, 76, 50}; int answer = solve_dp(arr, 100, 100); int expected = 11290; if (answer != expected) { printf("Wrong answer; got %d instead of %d.\n", answer, expected); exit(1); } printf("All tests passed\n"); } |
All tests passed
Testing if the previous output contains the string All tests passed
: True
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's the C version of the Python program with the type signature `float solve_dp(float* arr, int size, int lines_left)`:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> float solve_dp(float* arr, int size, int lines_left) { const int INF = INT_MAX; int n = size; // Allocate memory for dp and how float*** dp = (float***)malloc((n + 1) * sizeof(float**)); int*** how = (int***)malloc((n + 1) * sizeof(int**)); for (int i = 0; i <= n; i++) { dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for (int j = 0; j <= lines_left; j++) { dp[i][j] = (float*)malloc(10 * sizeof(float)); how[i][j] = (int*)malloc(10 * sizeof(int)); for (int k = 0; k < 10; k++) { dp[i][j][k] = INF; how[i][j][k] = -1; } } } for (int i = n; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == n && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < n && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < n && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } int i = 0, j = lines_left, k = 6; int* taken_lines = (int*)malloc((n + 1) * sizeof(int)); int line_count = 0; while (i < n) { if (how[i][j][k] == 0) { // Chose to take the line taken_lines[line_count++] = n - i; i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Free the memory allocated for dp and how for (int i = 0; i <= n; i++) { for (int j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); return dp[0][lines_left][6]; } |
I extracted the following code from that output:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> float solve_dp(float* arr, int size, int lines_left) { const int INF = INT_MAX; int n = size; // Allocate memory for dp and how float*** dp = (float***)malloc((n + 1) * sizeof(float**)); int*** how = (int***)malloc((n + 1) * sizeof(int**)); for (int i = 0; i <= n; i++) { dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for (int j = 0; j <= lines_left; j++) { dp[i][j] = (float*)malloc(10 * sizeof(float)); how[i][j] = (int*)malloc(10 * sizeof(int)); for (int k = 0; k < 10; k++) { dp[i][j][k] = INF; how[i][j][k] = -1; } } } for (int i = n; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == n && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < n && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < n && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } int i = 0, j = lines_left, k = 6; int* taken_lines = (int*)malloc((n + 1) * sizeof(int)); int line_count = 0; while (i < n) { if (how[i][j][k] == 0) { // Chose to take the line taken_lines[line_count++] = n - i; i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Free the memory allocated for dp and how for (int i = 0; i <= n; i++) { for (int j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); return dp[0][lines_left][6]; } |
Running the following program:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> float solve_dp(float* arr, int size, int lines_left) { const int INF = INT_MAX; int n = size; // Allocate memory for dp and how float*** dp = (float***)malloc((n + 1) * sizeof(float**)); int*** how = (int***)malloc((n + 1) * sizeof(int**)); for (int i = 0; i <= n; i++) { dp[i] = (float**)malloc((lines_left + 1) * sizeof(float*)); how[i] = (int**)malloc((lines_left + 1) * sizeof(int*)); for (int j = 0; j <= lines_left; j++) { dp[i][j] = (float*)malloc(10 * sizeof(float)); how[i][j] = (int*)malloc(10 * sizeof(int)); for (int k = 0; k < 10; k++) { dp[i][j][k] = INF; how[i][j][k] = -1; } } } for (int i = n; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == n && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < n && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < n && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } int i = 0, j = lines_left, k = 6; int* taken_lines = (int*)malloc((n + 1) * sizeof(int)); int line_count = 0; while (i < n) { if (how[i][j][k] == 0) { // Chose to take the line taken_lines[line_count++] = n - i; i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Free the memory allocated for dp and how for (int i = 0; i <= n; i++) { for (int j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); return dp[0][lines_left][6]; } #include<stdio.h> #include<stdlib.h> int main() { float arr[] = {71, 89, 34, 63, 19, 94, 54, 61, 88, 20, 66, 46, 26, 87, 55, 81, 6, 2, 72, 75, 98, 78, 24, 95, 73, 7, 56, 48, 14, 99, 64, 51, 69, 77, 28, 47, 8, 22, 49, 3, 62, 32, 10, 82, 35, 18, 85, 60, 83, 23, 5, 40, 41, 68, 53, 52, 44, 45, 65, 84, 93, 25, 13, 1, 31, 11, 12, 97, 38, 0, 43, 90, 36, 70, 33, 17, 21, 30, 16, 15, 74, 67, 58, 37, 39, 96, 79, 29, 27, 92, 86, 9, 80, 42, 57, 91, 59, 4, 76, 50}; int answer = solve_dp(arr, 100, 100); int expected = 11290; if (answer != expected) { printf("Wrong answer; got %d instead of %d.\n", answer, expected); exit(1); } printf("All tests passed\n"); } |
Wrong answer; got -2147483648 instead of 11290.
Testing if the previous output contains the string All tests passed
: False
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's a python program. Please rewrite it in c with the type signature float solve_dp(float* arr, int size, int lines_left) def solve_dp(graph, lines_left): n = len(graph) dp = [[[1e9 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] # Initialize how as -1 indicating no decision made how = [[[-1 for _ in range(10)] for _ in range(lines_left + 1)] for _ in range(n + 1)] for i in range(n, -1, -1): for j in range(lines_left + 1): for k in range(10): if i == n and j == 0: dp[i][j][k] = 0 else: # Option 1: don't take the line if i < n and k < 9: if dp[i + 1][j][k + 1] < dp[i][j][k]: dp[i][j][k] = dp[i + 1][j][k + 1] how[i][j][k] = k + 1 # Representing choosing not to take the line # Option 2: take the line if i < n and j > 0: cost = graph[i] + (k - 8)**2 if cost + dp[i + 1][j - 1][0] < dp[i][j][k]: dp[i][j][k] = cost + dp[i + 1][j - 1][0] how[i][j][k] = 0 # Representing choosing to take the line # Reconstruct the solution i, j, k = 0, lines_left, 6 taken_lines = [] while i < n: if how[i][j][k] == 0: # Chose to take the line taken_lines.append(n - i) i += 1 j -= 1 k = 0 else: # Chose not to take the line i += 1 k += 1 return dp[0][lines_left][6]
Here's the C version of the provided Python code with the type signature `float solve_dp(float* arr, int size, int lines_left)`:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> float solve_dp(float* arr, int size, int lines_left) { const int max_val = 1e9; int n = size; // Allocate memory for dp and how float*** dp = malloc((n + 1) * sizeof(float**)); int*** how = malloc((n + 1) * sizeof(int**)); for (int i = 0; i <= n; i++) { dp[i] = malloc((lines_left + 1) * sizeof(float*)); how[i] = malloc((lines_left + 1) * sizeof(int*)); for (int j = 0; j <= lines_left; j++) { dp[i][j] = malloc(10 * sizeof(float)); how[i][j] = malloc(10 * sizeof(int)); for (int k = 0; k < 10; k++) { dp[i][j][k] = max_val; how[i][j][k] = -1; } } } for (int i = n; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == n && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < n && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < n && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } // Reconstruct the solution int i = 0, j = lines_left, k = 6; int taken_lines_size = 0; int taken_lines_capacity = 10; int* taken_lines = malloc(taken_lines_capacity * sizeof(int)); while (i < n) { if (how[i][j][k] == 0) { // Chose to take the line if (taken_lines_size == taken_lines_capacity) { taken_lines_capacity *= 2; taken_lines = realloc(taken_lines, taken_lines_capacity * sizeof(int)); } taken_lines[taken_lines_size++] = n - i; i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Free allocated memory for (int i = 0; i <= n; i++) { for (int j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); // Free taken_lines if allocated if (taken_lines_size > 0) { free(taken_lines); } return dp[0][lines_left][6]; } |
I extracted the following code from that output:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> float solve_dp(float* arr, int size, int lines_left) { const int max_val = 1e9; int n = size; // Allocate memory for dp and how float*** dp = malloc((n + 1) * sizeof(float**)); int*** how = malloc((n + 1) * sizeof(int**)); for (int i = 0; i <= n; i++) { dp[i] = malloc((lines_left + 1) * sizeof(float*)); how[i] = malloc((lines_left + 1) * sizeof(int*)); for (int j = 0; j <= lines_left; j++) { dp[i][j] = malloc(10 * sizeof(float)); how[i][j] = malloc(10 * sizeof(int)); for (int k = 0; k < 10; k++) { dp[i][j][k] = max_val; how[i][j][k] = -1; } } } for (int i = n; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == n && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < n && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < n && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } // Reconstruct the solution int i = 0, j = lines_left, k = 6; int taken_lines_size = 0; int taken_lines_capacity = 10; int* taken_lines = malloc(taken_lines_capacity * sizeof(int)); while (i < n) { if (how[i][j][k] == 0) { // Chose to take the line if (taken_lines_size == taken_lines_capacity) { taken_lines_capacity *= 2; taken_lines = realloc(taken_lines, taken_lines_capacity * sizeof(int)); } taken_lines[taken_lines_size++] = n - i; i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Free allocated memory for (int i = 0; i <= n; i++) { for (int j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); // Free taken_lines if allocated if (taken_lines_size > 0) { free(taken_lines); } return dp[0][lines_left][6]; } |
Running the following program:
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 | #include <stdio.h> #include <stdlib.h> #include <limits.h> float solve_dp(float* arr, int size, int lines_left) { const int max_val = 1e9; int n = size; // Allocate memory for dp and how float*** dp = malloc((n + 1) * sizeof(float**)); int*** how = malloc((n + 1) * sizeof(int**)); for (int i = 0; i <= n; i++) { dp[i] = malloc((lines_left + 1) * sizeof(float*)); how[i] = malloc((lines_left + 1) * sizeof(int*)); for (int j = 0; j <= lines_left; j++) { dp[i][j] = malloc(10 * sizeof(float)); how[i][j] = malloc(10 * sizeof(int)); for (int k = 0; k < 10; k++) { dp[i][j][k] = max_val; how[i][j][k] = -1; } } } for (int i = n; i >= 0; i--) { for (int j = 0; j <= lines_left; j++) { for (int k = 0; k < 10; k++) { if (i == n && j == 0) { dp[i][j][k] = 0; } else { // Option 1: don't take the line if (i < n && k < 9) { if (dp[i + 1][j][k + 1] < dp[i][j][k]) { dp[i][j][k] = dp[i + 1][j][k + 1]; how[i][j][k] = k + 1; // Representing choosing not to take the line } } // Option 2: take the line if (i < n && j > 0) { float cost = arr[i] + (k - 8) * (k - 8); if (cost + dp[i + 1][j - 1][0] < dp[i][j][k]) { dp[i][j][k] = cost + dp[i + 1][j - 1][0]; how[i][j][k] = 0; // Representing choosing to take the line } } } } } } // Reconstruct the solution int i = 0, j = lines_left, k = 6; int taken_lines_size = 0; int taken_lines_capacity = 10; int* taken_lines = malloc(taken_lines_capacity * sizeof(int)); while (i < n) { if (how[i][j][k] == 0) { // Chose to take the line if (taken_lines_size == taken_lines_capacity) { taken_lines_capacity *= 2; taken_lines = realloc(taken_lines, taken_lines_capacity * sizeof(int)); } taken_lines[taken_lines_size++] = n - i; i++; j--; k = 0; } else { // Chose not to take the line i++; k++; } } // Free allocated memory for (int i = 0; i <= n; i++) { for (int j = 0; j <= lines_left; j++) { free(dp[i][j]); free(how[i][j]); } free(dp[i]); free(how[i]); } free(dp); free(how); // Free taken_lines if allocated if (taken_lines_size > 0) { free(taken_lines); } return dp[0][lines_left][6]; } #include<stdio.h> #include<stdlib.h> int main() { float arr[] = {71, 89, 34, 63, 19, 94, 54, 61, 88, 20, 66, 46, 26, 87, 55, 81, 6, 2, 72, 75, 98, 78, 24, 95, 73, 7, 56, 48, 14, 99, 64, 51, 69, 77, 28, 47, 8, 22, 49, 3, 62, 32, 10, 82, 35, 18, 85, 60, 83, 23, 5, 40, 41, 68, 53, 52, 44, 45, 65, 84, 93, 25, 13, 1, 31, 11, 12, 97, 38, 0, 43, 90, 36, 70, 33, 17, 21, 30, 16, 15, 74, 67, 58, 37, 39, 96, 79, 29, 27, 92, 86, 9, 80, 42, 57, 91, 59, 4, 76, 50}; int answer = solve_dp(arr, 100, 100); int expected = 11290; if (answer != expected) { printf("Wrong answer; got %d instead of %d.\n", answer, expected); exit(1); } printf("All tests passed\n"); } |
Wrong answer; got 1000000000 instead of 11290.
Testing if the previous output contains the string All tests passed
: False