Deleting characters from a string

[Wynd]

I want to erase from a string all puctuation characters. This is my code so far:

string input;
string bad = "!@#$%^&*()~`[]{}-=_+|\"\'\\<>,.?/ ";

cout << "Enter a string: ";
getline(cin, input, '\n');

for (int i = 0; i <= input.length(); i++)
    for (int j = 0; j <= bad.length() - 1; j++)
        if (input[i] == bad[j])
        {
            cout << "Bad character found: \"" << bad[j] << "\"" << endl;
            input.erase(i, 1);
        }

cout << input << endl; 

The problem is this: if I enter "he&&&llo" for example, it only erases two ampersands, and the result is "he&llo". How can I fix this?