max_counters() {
    local _n=$1
    local -n _a="$2"
    local -n _out="$3"
    local -a _counters
    local _i
    for ((_i = 0; _i < _n; _i++)); do _counters[_i]=0; done
    local _maxCounter=0 _lastUpdate=0
    local _condition=$(( _n + 1 ))
    local _v
    for _v in "${_a[@]}"; do
        if (( _v <= _n )); then
            local _index=$(( _v - 1 ))
            if (( _counters[_index] < _lastUpdate )); then
                _counters[_index]=$_lastUpdate
            fi
            (( _counters[_index]++ ))
            (( _counters[_index] > _maxCounter )) && _maxCounter=${_counters[_index]}
        fi
        if (( _v == _condition )); then
            _lastUpdate=$_maxCounter
        fi
    done
    for _i in "${!_counters[@]}"; do
        if (( _counters[_i] < _lastUpdate )); then
            _counters[_i]=$_lastUpdate
        fi
    done
    _out=("${_counters[@]}")
}