From fab68e77e88fa539d00a9ef778d10237d1f218fa Mon Sep 17 00:00:00 2001 From: Manish Date: Wed, 28 Apr 2021 08:31:45 +0200 Subject: [PATCH] Upload files to 'Exercise 10 - Matrix Multiplication (Week 11)' --- .../Ex10.pdf | Bin 0 -> 58373 bytes .../Ex10.txt | 21 ++++ .../Ex10_Prof_Solution.pdf | Bin 0 -> 166101 bytes .../ex10.c | 97 ++++++++++++++++++ .../makefile | 2 + 5 files changed, 120 insertions(+) create mode 100644 Exercise 10 - Matrix Multiplication (Week 11)/Ex10.pdf create mode 100644 Exercise 10 - Matrix Multiplication (Week 11)/Ex10.txt create mode 100644 Exercise 10 - Matrix Multiplication (Week 11)/Ex10_Prof_Solution.pdf create mode 100644 Exercise 10 - Matrix Multiplication (Week 11)/ex10.c create mode 100644 Exercise 10 - Matrix Multiplication (Week 11)/makefile diff --git a/Exercise 10 - Matrix Multiplication (Week 11)/Ex10.pdf b/Exercise 10 - Matrix Multiplication (Week 11)/Ex10.pdf new file mode 100644 index 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zZ|;3Ee=eyQmgK2?vMe2{KV^a11HVV4G5yR_u{-Y_hiG zv%yw+x-`^s3E8c3PfrAR(Ex9lMgF#E@ShL_{EAq9R}O+JvIazkoSKWMtqAZv+G(U@1O9DG(38pa73FgpZFKA^>kg0@7eH zlb^uV2+R)v1Him+z6yZw{J4h*{BjS6tdJl46~OaD@( +#include +#include + + +int* array = NULL; +int* memo = NULL; +int matrices = 0; + +int best(int i, int j); +int min(int i, int j); + +int main(void) +{ + printf("Enter file name: "); + // Assuming filename/file path will not be longer than 256 characters + char filename[257]; + scanf("%s", filename); + + FILE* file = fopen(filename, "r"); + if (!file) + { + perror(filename); + exit(EXIT_FAILURE); + } + + if (fscanf(file, " %d ", &matrices) != EOF) + {; + array = malloc(sizeof(int) * (matrices + 1)); + memo = malloc(sizeof(int) * matrices); + if (matrices > 0 && (array == NULL || memo == NULL)) + { + fprintf(stderr, " Failed to allocate memory \n"); + return 1; + } + } + + // Read and push matrix dimensions to array + fscanf(file, " %d %d ", &array[0], &array[1]); // first matrix dimensions + int row ; + int col; + for (int i = 1; i < matrices; i++) + { + fscanf(file, " %d %d ", &row, &col); + // row of current matrix must match column of previous matrix + if (row == array[i]) + array[i] = row; + else + { + fprintf( + stderr, + " Rows , columns mismatch , multiplication not possible \n" + ); + exit(1); + } + array[i + 1] = col; + } + fclose(file); + // Initialize memorization array elements to 0 s + for ( int i =0; i < matrices * matrices ; i ++) + memo[i] = 0; + + // Compute and print minimum multiplications needed + printf ( "%d\n", best(1, matrices)); + + free ( array ) ; + + return 0; +} + +int best(int i, int j) +{ + if (i == j) + return 0; + if (memo[matrices * i + j] != 0) + return memo[matrices * i + j]; + int b = INT_MAX; + for (int k = i; k < j; k++) + b = min(b, (array[i-1] * array[j] * array[k]) + best(i, k) + best(k+1, j)); + memo[matrices * i + j] = b; + return b; +} + +int min(int i, int j) +{ + return i < j ? i : j; +} diff --git a/Exercise 10 - Matrix Multiplication (Week 11)/makefile b/Exercise 10 - Matrix Multiplication (Week 11)/makefile new file mode 100644 index 0000000..12fb4b4 --- /dev/null +++ b/Exercise 10 - Matrix Multiplication (Week 11)/makefile @@ -0,0 +1,2 @@ +ex10: ex10.c + gcc -Wall -std=c11 -o ex10 ex10.c