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DFS on subset tree

class disjoint_set {
public:
    vector<int> parent, size;
    disjoint_set(int n) {
        parent.resize(n);
        iota(parent.begin(), parent.end(), 0);
        size.resize(n, 1);
    }
    int find(int x) {
        if (x != parent[x]) parent[x] = find(parent[x]);
        return parent[x];
    }
    bool Union(int x, int y) {
        int xRep = find(x), yRep = find(y);
        if (xRep == yRep) return false;
        if (size[xRep] <= size[yRep]) {
            parent[xRep] = yRep;
            size[yRep] = size[yRep] + size[xRep];
        }
        else {
            parent[yRep] = xRep;
            size[xRep] = size[xRep] + size[yRep];
        }
        return true;
    }
};

void travel(const vector<long>& D, vector<bool> subset, disjoint_set partition, int level, int components, int& total, long nodeSet) {
    int newComponents = components;
    if (subset[level] == true) {
        nodeSet = nodeSet | D[level];
        ++newComponents;
        for (int i=0; i <= level; ++i) {
            if (subset[i] and (D[i] & D[level]) != 0 and partition.Union(i, level) == true) {
                --newComponents;
            }
        }
        total = total + 64 - __builtin_popcountl(nodeSet) + newComponents;
    }
    if (level == D.size() - 1) return;
    travel(D, subset, partition, level + 1, newComponents, total, nodeSet);
    subset[level + 1] = true;
    travel(D, subset, partition, level + 1, newComponents, total, nodeSet);
}


int findConnectedComponents(int N, const vector<long>& D) {
    int total = 64;
    vector<bool> subset(N);
    disjoint_set partition(N);
    travel(D, subset, partition, 0, 0, total, 0);
    subset[0] = true;
    travel(D, subset, partition, 0, 0, total, 0);
    return total;   
}

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Why the fxxk is result for the input [0] or any element with 1 set bit NOT 64!?! My understanding of the problem definition is that there is 64 singletons as "connected" components in a number with a single set bit!?!

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