The program below counts the number of characters in a file, assuming the file is encoded as ASCII. Modify the program so that it counts the number of characters in a file encoded as UTF-8. CODE: #include #include typedef unsigned char BYTE; int main(int argc, char *argv[]) { if (argc != 2) { printf("Usage: ./count INPUT\n"); return 1; } FILE *file = fopen(argv[1], "r"); if (!file) { printf("Could not open file.\n"); return 1; } int count = 0; while (true) { BYTE b; fread(&b, 1, 1, file); if (feof(file)) { break; } count++; } printf("Number of characters: %i\n", count); }

Write a program that performs a simple n-body simulation, called "jumping leprechauns." this simulation involves n leprechauns, numberd 1 to n. it maintains a gold value g_i for each leprechaun i, which begins with each leprechaun starting out with a million dollars worth of gold, that is, g_i = 1000000 for each i = 1,. in addition, the simulation also maintains, for each leprachaun, i, a place on the horizon, which is represented as a double-precision floating point number, x_i. in each iteration of the simulation, the simulation processes the leprachauns in order. processing a leprachaun i during its iteration begins by computing a new place on the horizon for i, which is determined by the assignment: