From 92332d1e9cdd80474b6b0dc5ecfa0c4429cc0f2e Mon Sep 17 00:00:00 2001 From: rohans6 Date: Sat, 25 Nov 2023 17:50:45 +0000 Subject: [PATCH 01/10] Added Practical 3 --- Practical3/README.md | 28 ++++++++++++++++++++++++++++ Practical3/trapezoidal_rule.c | 35 +++++++++++++++++++++++++++++++++++ 2 files changed, 63 insertions(+) create mode 100644 Practical3/README.md create mode 100644 Practical3/trapezoidal_rule.c diff --git a/Practical3/README.md b/Practical3/README.md new file mode 100644 index 0000000..ba189a4 --- /dev/null +++ b/Practical3/README.md @@ -0,0 +1,28 @@ +# Trapezoidal Rule Approximation for f(x) = tan(x) + +This C program approximates the integral of f(x) = tan(x) from 0 to π/3 using the Trapezoidal Rule. The code calculates the numerical approximation and compares it with the actual value obtained from log(2). + +## Compilation and Running Instructions + +1. **Compile the Program:** + - Open a terminal. + - Navigate to the directory containing the C file (`trapezoidal_rule.c`). + - Compile the program using a C compiler (e.g., gcc): + ```bash + gcc -o trapezoidal_rule trapezoidal_rule.c -lm + ``` + Note: The `-lm` flag is used to link the math library. + +2. **Run the Program:** + - Execute the compiled binary: + ```bash + ./trapezoidal_rule + ``` + +3. **Expected Output:** + - The program will display the approximation of the integral using the Trapezoidal Rule and the actual value of the integral. + + + + + diff --git a/Practical3/trapezoidal_rule.c b/Practical3/trapezoidal_rule.c new file mode 100644 index 0000000..a406a59 --- /dev/null +++ b/Practical3/trapezoidal_rule.c @@ -0,0 +1,35 @@ +#include +#include + +int main() { + // Define variables + int n = 12; + double a = 0; + double b = M_PI / 3; + double w = (b - a) / (double)n; + + // Initialize the sum with the values at the endpoints + double sum = tan(a) + tan(b); +int i; + + // Iterate through equidistant points and update the sum + for (i = 1; i < n; i++) { + sum += 2 * tan(a + w * i); + } + + // Finalize the approximation using the Trapezoidal Rule + sum = sum * w * 0.5; + + // Print the approximation result + printf("The Approximation of f(x) = tan(x) from 0 to pi/3 is %.3f\n", sum); + + // Calculate the actual value using log(2) + double actual_value = log(2.0); + + // Print the actual value + printf("The actual value of f(x) = tan(x) from 0 to pi/3 is %.3f\n", actual_value); + + return 0; +} + + From 2074ab6f48d35d6ca707f74da31653b559392093 Mon Sep 17 00:00:00 2001 From: rohans6 Date: Sun, 26 Nov 2023 23:57:05 +0000 Subject: [PATCH 02/10] Added Practical 4 --- Practical4/README.md | 23 +++++++++++++++++++++ Practical4/practical4.c | 46 +++++++++++++++++++++++++++++++++++++++++ 2 files changed, 69 insertions(+) create mode 100644 Practical4/README.md create mode 100644 Practical4/practical4.c diff --git a/Practical4/README.md b/Practical4/README.md new file mode 100644 index 0000000..c0d948e --- /dev/null +++ b/Practical4/README.md @@ -0,0 +1,23 @@ +# Trapezoidal Rule Approximation for tan(x) + +This C program approximates the integral of tan(x) from 0 to 60 degrees using the Trapezoidal Rule. The code calculates the numerical approximation and compares it with the actual value obtained from log(2). + +## Compilation and Running Instructions + +1. **Compile the Program:** + - Open a terminal. + - Navigate to the directory containing the C file (`practical4.c`). + - Compile the program using gcc: + ```bash + gcc -o prog filename.c -lm + ``` + Note: The `-lm` flag is used to link the math library. + +2. **Run the Program:** + - Execute the compiled binary: + ```bash + ./prog + ``` + +3. **Expected Output:** + - The program will display the values of tan(x) for each degree, the approximation of the integral using the Trapezoidal Rule, and the actual value of the integral. diff --git a/Practical4/practical4.c b/Practical4/practical4.c new file mode 100644 index 0000000..e23f542 --- /dev/null +++ b/Practical4/practical4.c @@ -0,0 +1,46 @@ +#include +#include + +double converttoradians(double degree); +double calarea(int n); + +int main() { + int n = 12; + double area; + area = calarea(n); + int i; +double arr[n+1]; +for(i=0;i<=n;i++){ +arr[i]=tan(converttoradians(5.0*i)); +printf("The value of tan(x) when x=%d is %.2f ",i*5,arr[i]); +printf("\n"); + +} + + printf("The approximation of tan(x) from 0-60 degrees using trapezoidal rule is %.3f", area); +printf("\n"); +printf("The actual value of tan(x) from 0-60 degrees is:%.3f",log(2.0)); + + return 0; +} + +double converttoradians(double degree) { + return (degree * M_PI) / 180.0; +} + +double calarea(int n) { + int i; + double arr[n + 1], rad, w; + for (i = 0; i < n + 1; i++) { + rad = tan(converttoradians(5.0 * i)); + arr[i] = rad; + } + double area = arr[0] + arr[n]; + for (i = 1; i < n; i++) { + area = area + 2.0 * arr[i]; + } + w = converttoradians((60.0 - 0) / (2.0 * n)); + area = area * w; + return area; +} + From 012b2e81856e9bdbe8b12d48ff46618cd6f7ef15 Mon Sep 17 00:00:00 2001 From: rohans6 Date: Tue, 28 Nov 2023 01:57:14 +0000 Subject: [PATCH 03/10] Practical 5-9 added --- Practical5/README.md | 44 +++++++++++++++++++ Practical5/arctan_approx.c | 52 ++++++++++++++++++++++ Practical5/fibonacci.c | 46 ++++++++++++++++++++ Practical6/.Makefile | 8 ++++ Practical6/Makefile | 8 ++++ Practical6/README.md | 12 ++++++ Practical6/main.c | 54 +++++++++++++++++++++++ Practical6/main.o | Bin 0 -> 2431 bytes Practical6/matmul.c | 8 ++++ Practical6/matmul.o | Bin 0 -> 864 bytes Practical6/matmult.exe | Bin 0 -> 43153 bytes Practical6/prac6.c | 55 ++++++++++++++++++++++++ Practical6/prog.exe | Bin 0 -> 42389 bytes Practical7/README.md | 14 ++++++ Practical7/prac7.exe | Bin 0 -> 42115 bytes Practical7/practical7.c | 57 ++++++++++++++++++++++++ Practical8/README.md | 13 ++++++ Practical8/gcd_calculator.c | 25 +++++++++++ Practical8/prac8.exe | Bin 0 -> 41396 bytes Practical9/README.md | 8 ++++ Practical9/a.exe | Bin 0 -> 42790 bytes Practical9/magic_square.txt | 3 ++ Practical9/magic_square_stub.h | 49 +++++++++++++++++++++ Practical9/main_stub.c | 74 ++++++++++++++++++++++++++++++++ Practical9/not_magic_square.txt | 3 ++ 25 files changed, 533 insertions(+) create mode 100644 Practical5/README.md create mode 100644 Practical5/arctan_approx.c create mode 100644 Practical5/fibonacci.c create mode 100644 Practical6/.Makefile create mode 100644 Practical6/Makefile create mode 100644 Practical6/README.md create mode 100644 Practical6/main.c create mode 100644 Practical6/main.o create mode 100644 Practical6/matmul.c create mode 100644 Practical6/matmul.o create mode 100644 Practical6/matmult.exe create mode 100644 Practical6/prac6.c create mode 100644 Practical6/prog.exe create mode 100644 Practical7/README.md create mode 100644 Practical7/prac7.exe create mode 100644 Practical7/practical7.c create mode 100644 Practical8/README.md create mode 100644 Practical8/gcd_calculator.c create mode 100644 Practical8/prac8.exe create mode 100644 Practical9/README.md create mode 100644 Practical9/a.exe create mode 100644 Practical9/magic_square.txt create mode 100644 Practical9/magic_square_stub.h create mode 100644 Practical9/main_stub.c create mode 100644 Practical9/not_magic_square.txt diff --git a/Practical5/README.md b/Practical5/README.md new file mode 100644 index 0000000..695d306 --- /dev/null +++ b/Practical5/README.md @@ -0,0 +1,44 @@ +# Fibonacci Sequence Program + +## Overview + +This C program generates the Fibonacci sequence up to a specified value of `n`. It uses a function to calculate the next Fibonacci number based on the previous two. The program includes comments for clarity and readability. + +## Instructions + +### 1. Compilation + +Compile the program using a C compiler. For example: + +```bash +gcc -o fibonacci fibonacci.c -lm + +### 2. Execution +Run the compiled program: +./fibonacci + +### 3. Usage +Enter the desired value of n when prompted. The program will then display the Fibonacci sequence up to the specified value. + +# Arctangent Approximation Program + +## Overview + +This C program calculates and compares two approximations of the arctangent function for a range of input values. The approximations are implemented in `archtanx1` and `archtanx2` functions. The program includes comments for clarity and readability. + +## Instructions + +### 1. Compilation + +Compile the program using a C compiler. For example: + +```bash +gcc -o arctan_approx arctan_approx.c -lm + +### 2. Execution +./arctan_approx + +### 3. Usage +Enter the desired value of delta when prompted. The program will then display the difference between the arctangent approximations for a range of input values. + + diff --git a/Practical5/arctan_approx.c b/Practical5/arctan_approx.c new file mode 100644 index 0000000..f026b1a --- /dev/null +++ b/Practical5/arctan_approx.c @@ -0,0 +1,52 @@ +#include +#include +#include + +// Function prototypes +double archtanx1(const double x, const double delta); +double archtanx2(const double x); + +int main() { + double delta, x, tan1[1000], tan2[1000]; + printf("Enter value of delta: "); + scanf("%lf", &delta); + x = -0.9; + int j; + + for (j = 0; x <= 0.9 && j < 1000; j++) { + // Calculate arctangent approximations + tan1[j] = archtanx1(x, delta); + tan2[j] = archtanx2(x); + + // Print the difference between the approximations for each x + printf("The difference between functions archtanx1 and archtanx2 is %.10f for x=%f\n", fabs(tan1[j] - tan2[j]), x); + + x = x + 0.1; + } + + return 0; +} + +// Approximation of arctangent using a power series +double archtanx1(const double x, const double delta) { + double sum = 0; + double current = x; + int i = 0; + int exponent; + + // Calculate terms of the power series until convergence + while (fabs(current) > delta) { + exponent = 2 * i + 1; + current = pow(x, exponent) / exponent; + sum += current; + i++; + } + + return sum; +} + +// Approximation of arctangent using logarithmic functions +double archtanx2(const double x) { + return (log(1 + x) - log(1 - x)) / 2; +} + diff --git a/Practical5/fibonacci.c b/Practical5/fibonacci.c new file mode 100644 index 0000000..780e800 --- /dev/null +++ b/Practical5/fibonacci.c @@ -0,0 +1,46 @@ +#include +#include + +// Function to calculate the next Fibonacci number +void fib(int *fn_1, int *fn_2); + +int main() { + int n; + printf("Enter the value of n: "); + scanf("%d", &n); + + int f0, f1, next, i; + f1 = 1; + f0 = 0; + + // Print Fibonacci sequence for n=1 + if (n == 1) { + printf("The Fibonacci sequence for n=%d is %d", n); + printf("\n"); + } + // Print Fibonacci sequence for n=2 + else if (n == 2) { + printf("The Fibonacci sequence for n=%d is %d", n, 1); + printf("\n"); + } else { + printf("The Fibonacci sequence is %d ", f1, 1); + + // Loop to calculate and print Fibonacci sequence up to n + for (i = 1; i <= n - 1; i++) { + fib(&f0, &f1); + printf("%d", f1); + printf(" "); + } + } + + printf("\n"); + return 0; +} + +// Function to calculate the next Fibonacci number +void fib(int *a, int *b) { + int next; + next = *a + *b; + *a = *b; + *b = next; +} diff --git a/Practical6/.Makefile b/Practical6/.Makefile new file mode 100644 index 0000000..6f5bf7d --- /dev/null +++ b/Practical6/.Makefile @@ -0,0 +1,8 @@ +CC =gcc +CCFLAGS=-03 +matmult: main.o matmul.o + $(CC) -o matmult main.o matmul.o +matmul.o: matmul.c + $(CC) -c $(CCFLAGS) matmul.c +main.o: main.c + $(CC) -c $(CCFLAGS) main.c \ No newline at end of file diff --git a/Practical6/Makefile b/Practical6/Makefile new file mode 100644 index 0000000..0f6ff5d --- /dev/null +++ b/Practical6/Makefile @@ -0,0 +1,8 @@ +CC =gcc +CCFLAGS=-O3 +matmult: main.o matmul.o + $(CC) -o matmult main.o matmul.o +matmul.o: matmul.c + $(CC) -c $(CCFLAGS) matmul.c +main.o: main.c + $(CC) -c $(CCFLAGS) main.c \ No newline at end of file diff --git a/Practical6/README.md b/Practical6/README.md new file mode 100644 index 0000000..d7ee2c8 --- /dev/null +++ b/Practical6/README.md @@ -0,0 +1,12 @@ +# Matrix Multiplication Program +This program performs matrix multiplication of two matrices, Cn×q = An×pBp×q, where n = 5, p = 3, and q = 4. It initializes three arrays A, B, and C of type double, and populates them according to specified rules. + +# Compilation: + 1. make + This will compile the main.c and matmult.c files and generate the executable named matmult. + + 2. ./matmult + This will execute the program, performing matrix multiplication and printing the results. + + + \ No newline at end of file diff --git a/Practical6/main.c b/Practical6/main.c new file mode 100644 index 0000000..7289a8f --- /dev/null +++ b/Practical6/main.c @@ -0,0 +1,54 @@ +#include +#include +#include + +int main(){ + +int n,p,q,i,j,k; +n=5; +p=3; +q=4; +double A[n][p],B[p][q],C[n][q]; +for(i=0;i6-W#k|Mb#lf2~6)~vPI_HxEcbL6jgdl13~ zl)Q9U4uS-%(1(EM^X0*Z(8Q8UYVL^ABs7$hUdRbhn!d%e>1x~?%69A>OAaz z^ZR}C%{RZ<-Ps&F4&cwO>~3NudTY;M*penU2iH&HvY?MHP&O9ozLJRE!i(` zWpIIkCKF$Qx|@NbsTG8Eq9t$Rq^V`SDO@CJ6BmT+PUFfn+yS@YoUt*Di-3!5IB#5a zc$PZT=3QQX z_|5HR+qlgo^2VAOm^U@pk1Xj?>PfHSBb`be-JVY6Fnt3$70JYTA}Q>#%SiNHwB8)R 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i++) { + arr[i] = arr[i] / factorial(i); + x += arr[i]; + } +printf("The value of approximated e is %f. The difference between approximated and the actual value of e is %e",x,x-exp(1.0)); +printf("\n"); +freeArray(arr); + } + + return 0; +} + +int factorial(int n) { + if (n == 0) { + return 1; + } else { + return (n * factorial(n - 1)); + } +} + +double* allocateArray(int size) { + return (double*)malloc(size * sizeof(double)); +} + +void fillWithOnes(double* array, int size) { +int i; + for (i = 0; i < size; i++) { + array[i] = 1.0; + } +} + + +// Function to free allocated memory +void freeArray(double* array) { + free(array); +} + diff --git a/Practical8/README.md b/Practical8/README.md new file mode 100644 index 0000000..40ca34e --- /dev/null +++ b/Practical8/README.md @@ -0,0 +1,13 @@ +# GCD Calculator +This program calculates the Greatest Common Divisor (GCD) of two integers using the Euclidean Algorithm. + +# How to Use +1. Compile the program using a C compiler: + gcc -o gcd_calculator gcd_calculator.c -lm + +2. Run the executable: + ./gcd_calculator + +3. Enter two integers when prompted. + +4. 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equals to n(n^2 + 1)/2. +// The function takes as input a matrix 'square' and its side length 'n' +// and outputs 0 if 'n' is negative or 'square' is NOT a magic square; +// otherwise, outputs a non-zero value +// + + +int isMagicSquare(int ** square, const int n) { + + // Eliminate the case where 'n' is negative + if(n < 0) { + return 0; + } + + // M is the sum of every row, column, + // and the main and secondary diagonals + int M = (n * (n*n + 1))/2; + + int i, j; + // TODO: Checking that every row and column add up to M +int diagonalsum,secdiagonalsum; +diagonalsum=0; +secdiagonalsum=0; +for(i=0;i +#include +#define MAX_FILE_NAME 100 +#include "magic_square_stub.h" // Assuming you have a header file for magic_square functions + +int getlines(char filename[MAX_FILE_NAME]); + +int main() { + FILE *f; + char filename[MAX_FILE_NAME]; + printf("Enter file name: "); + scanf("%s", filename); + + int n = getlines(filename); + + // Open the file + f = fopen(filename, "r"); + if (f == NULL) { + fprintf(stderr, "Error opening file.\n"); + return 1; + } +int i; + // Allocating a matrix for storing the magic square + int **magicSquare = (int **)malloc(n * sizeof(int *)); + for (i = 0; i < n; i++) { + magicSquare[i] = (int *)malloc(n * sizeof(int)); + } +int j; + // Inputting integer data into the matrix + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + if (fscanf(f, "%d", &magicSquare[i][j]) != 1) { + fprintf(stderr, "Error reading from file.\n"); + // Additional error handling if needed + return 1; + } + } + } +printf("This square %s magic. \n",isMagicSquare(magicSquare,n)?"is":"is not"); + + // Freeing each row separately before freeing the array of pointers + for (i = 0; i < n; i++) { + free(magicSquare[i]); + } + free(magicSquare); + + // Close the file + fclose(f); + + return 0; +} + +// Rest of the code remains unchanged + +//##! + +int getlines(char filename[MAX_FILE_NAME]) { + FILE *fp; + fp = fopen(filename, "r"); + + int ch_read; + int count = 0; + + while( (ch_read = fgetc(fp)) != EOF) + { + if (ch_read == '\n'){ + count++; + } + } + + printf("No. lines, %d\n", count); + fclose(fp); + return count; +} diff --git a/Practical9/not_magic_square.txt b/Practical9/not_magic_square.txt new file mode 100644 index 0000000..50ecbb5 --- /dev/null +++ b/Practical9/not_magic_square.txt @@ -0,0 +1,3 @@ +1 2 3 +4 5 6 +7 8 9 From 7dddfe8ffb70a278d683b09ba04a9d33672ad3cf Mon Sep 17 00:00:00 2001 From: rohans6 <63466206+rohans6@users.noreply.github.com> Date: Tue, 28 Nov 2023 01:58:27 +0000 Subject: [PATCH 04/10] Delete Practical7/prac7.exe --- Practical7/prac7.exe | Bin 42115 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 Practical7/prac7.exe diff --git a/Practical7/prac7.exe b/Practical7/prac7.exe deleted file mode 100644 index d07e8361fa3af777407fa59b7ab0c40fe1d0bc74..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 42115 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z%0Rc(Xb!owyBp}D@tk73=2J9_&?Jrj`%c44$rn-Z9Vrc&I3IP*0>hH{zYrDm^_4OE zBBQoc^Xfryh}RpUdAqko3+CV2e;UWNnt1Byjf?unMgmv(OITW`*hmI7geclGi2j-u zHqBEyTwaW}fw8jSqz)+2?D$HKY7%wMM1iqkRlBqbpGZPtEv~Hcv^9I0uyaNYfU%7! z#wXS1Gg|P}YdE&Y=JG_h@aEnG+alJ+>%vi^J1$3S&KNEX6;p?~fZEGe4H*G(W>*~0 ze0!rFuKVEphDL1Fk7FY1l|!)BXQIc@jT;@Dxk(iz!eM|EGxs1EzNDr=ptUeHSPr$+ N6 Date: Tue, 28 Nov 2023 02:02:29 +0000 Subject: [PATCH 08/10] Added Practical 2 --- Practical2/Conversion.c | 38 ++++++++++++++++++++++++++++++++++++++ Practical2/REAME.md | 7 +++++++ Practical2/Sum.c | 34 ++++++++++++++++++++++++++++++++++ 3 files changed, 79 insertions(+) create mode 100644 Practical2/Conversion.c create mode 100644 Practical2/REAME.md create mode 100644 Practical2/Sum.c diff --git a/Practical2/Conversion.c b/Practical2/Conversion.c new file mode 100644 index 0000000..2121b0b --- /dev/null +++ b/Practical2/Conversion.c @@ -0,0 +1,38 @@ +#include +#include + +int main(void) { + +/* Declare variables */ + int i,inum,tmp,numdigits; + float fnum; + char binnum[60]; + +/* Intialise 4-byte integer */ + inum = 33554431; +/* Convert to 4-byte float */ + fnum = (float) inum; + + +/* Convert to binary number (string)*/ + i = 0; tmp = inum; + while (tmp > 0) { + sprintf(&binnum[i],"%1d",tmp%2); + tmp = tmp/2; + i++; + } + +/* Terminate the string */ + binnum[i] = '\0'; + + +/* Complete the expression */ +numdigits = (int) ceil(log2(inum + 1)); +printf("The number of digits is %d\n",numdigits); + + + + printf("inum=%d, fnum=%f, inum in binary=%s\n", + inum,fnum,binnum); + +} diff --git a/Practical2/REAME.md b/Practical2/REAME.md new file mode 100644 index 0000000..beddb12 --- /dev/null +++ b/Practical2/REAME.md @@ -0,0 +1,7 @@ +Command to run Conversion.c +gcc -o conversion Conversion.c -lm +./conversion + +Command to run sum.c +gcc -o sum sum.c -lm +./sum \ No newline at end of file diff --git a/Practical2/Sum.c b/Practical2/Sum.c new file mode 100644 index 0000000..26e346f --- /dev/null +++ b/Practical2/Sum.c @@ -0,0 +1,34 @@ +#include + + +int main(void) { +/* Declare variables */ + int i; + float sum1, sum2, diff; + + +/* First sum */ + sum1 = 0.0; + for (i=1; i<=1000; i++) { + /* Insert here */ +sum1 += 1.0 / i; + } + + +/* Second sum */ + sum2 = 0.0; + for (i=1000; i>0; i--) { + /* Insert the same line as above except use sum2 */ + sum2 += 1.0 / i; + + } + + printf(" Sum1=%f\n",sum1); + printf(" Sum2=%f\n",sum2); + +/* Find the difference */ + diff = sum1 - sum2; + + printf(" Difference between the two is %f\n",diff); + +} From 006eebe6e21eb68b731f18ea5e899927cce42574 Mon Sep 17 00:00:00 2001 From: rohans6 <63466206+rohans6@users.noreply.github.com> Date: Tue, 28 Nov 2023 02:05:17 +0000 Subject: [PATCH 09/10] Rename REAME.md to REAMDE.md --- Practical2/{REAME.md => REAMDE.md} | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) rename Practical2/{REAME.md => REAMDE.md} (95%) diff --git a/Practical2/REAME.md b/Practical2/REAMDE.md similarity index 95% rename from Practical2/REAME.md rename to Practical2/REAMDE.md index beddb12..60ab981 100644 --- a/Practical2/REAME.md +++ b/Practical2/REAMDE.md @@ -4,4 +4,4 @@ gcc -o conversion Conversion.c -lm Command to run sum.c gcc -o sum sum.c -lm -./sum \ No newline at end of file +./sum From acdad2f82640520ec7587b300b811ca39b1f1ec7 Mon Sep 17 00:00:00 2001 From: rohans6 <63466206+rohans6@users.noreply.github.com> Date: Tue, 28 Nov 2023 12:57:50 +0000 Subject: [PATCH 10/10] Delete Practical6/matmult.exe --- Practical6/matmult.exe | Bin 43153 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 Practical6/matmult.exe diff --git a/Practical6/matmult.exe b/Practical6/matmult.exe deleted file mode 100644 index 38ef52914ea4fa95a295ec9d1f534b1e5f1d7b31..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 43153 zcmeHw4SW<;mhY|ZPSTK&>OfG`s0|Ywa3Bx_1Pz)_()k$jWj+8EEJD(ONJwH*4X7Z& z?l{!8JVoO91T_tvedo3cB$GAm=uhBFdjY&WiSb1W} zWzUX!W#Vq3^p%M+4!tT4m=7kF(v|;%sVh7F1L_*R(cxvc`-V 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