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XOR Subsequences
Python
Trilogy Innovations

def bit_count(x):
    cnt = 0
    while x > 0:
        cnt += x & 1
        x >>= 1
    return cnt

n = int(input())
a = list(map(int, input().split()))
dp = [set() for i in range(n)]
dp[0].add((a[0],))
ans = 0
for i in range(1, n):
    dp[i].add((a[i],))
    for b in dp[i-1]:
        if a[i] > b[-1]:
            b2 = b + (a[i],)
            dp[i].add(b2)
        if len(b) > 1 and bit_count(b[-2] ^ b[-1]) == bit_count(b[-2] ^ a[i]):
            b2 = b[:-1] + (a[i],)
            dp[i].add(b2)
    for b in dp[i]:
        x = b[0]
        for j in range(1, len(b)):
            x ^= b[j]
        ans |= x
print(bin(ans).count('1'))

XOR Subsequences
Python
Trilogy Innovations
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Good Arrays Code
C++

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int n = arr.size();
    int A = arr[0];
    int B = arr[n-1];
    int k = 0;
    for (int i = 1; i < n-1; i++) {
        if (arr[i] > A) {
            k++;
        }
    }
    long long ways = 1;
    for (int i = 1; i <= k; i++) {
        ways = (ways * i) % 1000000007;
    }
    return ways;

Good Arrays Code
C++

Trilogy Innovations
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XOR Subsequences
Pythonβœ…βœ…


def bit_count(x):
    cnt = 0
    while x > 0:
        cnt += x & 1
        x >>= 1
    return cnt

n = int(input())
a = list(map(int, input().split()))
dp = [set() for i in range(n)]
dp[0].add((a[0],))
ans = 0
for i in range(1, n):
    dp[i].add((a[i],))
    for b in dp[i-1]:
        if a[i] > b[-1]:
            b2 = b + (a[i],)
            dp[i].add(b2)
        if len(b) > 1 and bit_count(b[-2] ^ b[-1]) == bit_count(b[-2] ^ a[i]):
            b2 = b[:-1] + (a[i],)
            dp[i].add(b2)
    for b in dp[i]:
        x = b[0]
        for j in range(1, len(b)):
            x ^= b[j]
        ans |= x
print(bin(ans).count('1'))
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def count_xor_values(A):
    def generate_subsequences(A, i, B):
        if i == len(A):
            if len(B) > 1 and all(B[j] < B[j+1] for j in range(len(B)-1)):
                subsequences.append(B[:])
        else:
            generate_subsequences(A, i+1, B)
            B.append(A[i])
            generate_subsequences(A, i+1, B)
            B.pop()

    def count_set_bits(n):
        count = 0
        while n > 0:
            count += n & 1
            n >>= 1
        return count

    subsequences = []
    generate_subsequences(A, 0, [])
    xor_values = set()
    for B in subsequences:
        xor_value = B[0]
        for i in range(1, len(B)):
            xor_value ^= B[i]
            if count_set_bits(xor_value) >= count_set_bits(B[i]):
                xor_values.add(xor_value)
    return len(xor_values)
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