boolean almostIncreasingSequence(int[] sequence) {
    int ignore = -1;
    for (int i = 0; i < sequence.length - 2; i++){
        if (getElementWithIgnore(sequence, i, ignore) >=
           getElementWithIgnore(sequence, i+1, ignore)) {
            if (ignore == -1){
                return strictlyIncreasingSequence(sequence, i) ||
                    strictlyIncreasingSequence(sequence, i+1);
            }
        }
    }
    return true;
}

boolean strictlyIncreasingSequence(int[] sequence, int ignore) {

    for (int i = 0; i < sequence.length - 2; i++) {
        if (getElementWithIgnore(sequence,i,ignore) >=
            getElementWithIgnore(sequence,i+1, ignore)){
            return false;
        }
    }
    return true;
}


int getElementWithIgnore(int[] sequence, int i, int ignore){
    if (i < ignore || ignore == -1){
        return sequence[i];
    } else {
        return sequence[i+1];
    }
}