Algorithms: Dynamic Programming

function fast_fibonacci(n) {
    alg_require(Number.isInteger(n) && n >= -2147483648 && n <= 2147483647);
    alg_require(((n >= 0) && (n <= 1000000)));
    alg_require(((n >= 0) && (n <= 45)));
    let a = 0;
    let b = 1;
    let c = 0;
    let d = 0;
    let bit = 1;
    while ((bit <= Math.floor(n / 2))) {
        bit = alg_mul(bit, 2);
    }

def fast_fibonacci(n: int) -> int:
    alg_require(type(n) is int and -2147483648 <= n <= 2147483647)
    alg_require(n >= 0 and n <= 1000000)
    alg_require(n >= 0 and n <= 45)
    a: int = 0
    b: int = 1
    c: int = 0
    d: int = 0
    bit: int = 1
    while bit <= n // 2:
        bit *= 2
    while bit > 0:

int fast_fibonacci(int n) {
    int alg_error = 0;
    int alg_result = INT_MIN;
    errno = 0;
    if (!(((n >= 0) && (n <= 1000000)))) { errno = EINVAL; alg_result = INT_MIN; goto alg_cleanup; }
    if (alg_error) { errno = ERANGE; alg_result = INT_MIN; goto alg_cleanup; }
    if (!(((n >= 0) && (n <= 45)))) { errno = EINVAL; alg_result = INT_MIN; goto alg_cleanup; }
    if (alg_error) { errno = ERANGE; alg_result = INT_MIN; goto alg_cleanup; }
    int a = 0;
    if (alg_error) { errno = ERANGE; alg_result = INT_MIN; goto alg_cleanup; }
    int b = 1;
    if (alg_error) { errno = ERANGE; alg_result = INT_MIN; goto alg_cleanup; }

int fast_fibonacci(int n) {
    alg_require(((n >= 0) && (n <= 1000000)));
    alg_require(((n >= 0) && (n <= 45)));
    int a = 0;
    int b = 1;
    int c = 0;
    int d = 0;
    int bit = 1;
    while ((bit <= (n / 2))) {
        bit = alg_mul(bit, 2);
    }
    while ((bit > 0)) {

    static int fast_fibonacci(int n) {
        checked {
            alg_require(((n >= 0) && (n <= 1000000)));
            alg_require(((n >= 0) && (n <= 45)));
            int a = 0;
            int b = 1;
            int c = 0;
            int d = 0;
            int bit = 1;
            while ((bit <= (n / 2))) {
                bit = (bit * 2);
            }