Условие
Count integers from left through right, including both endpoints, that have no equal neighboring digits. Use their usual decimal writing with no leading zeroes. Zero and all other single-digit numbers qualify.
Implement counting_numbers(left, right).
Input
left: The first allowed value.
right: The last allowed value.
Output
Return how many values satisfy the rule.
Ограничения
0 ≤ left ≤ right ≤ 10¹⁸. The range may be too large to inspect each integer individually.
Примеры
Ввод:
left = 10
right = 15
Ожидаемый вывод:
expected = 5
Ввод:
long long left = 10;
long long right = 15;
Ожидаемый вывод:
long long expected = 5;
Ввод:
long left = 10;
long right = 15;
Ожидаемый вывод:
long expected = 5;
Пояснение
Only 11 has equal neighboring digits. The other five numbers qualify.
Ввод:
left = 0
right = 9
Ожидаемый вывод:
expected = 10
Ввод:
long long left = 0;
long long right = 9;
Ожидаемый вывод:
long long expected = 10;
Ввод:
long left = 0;
long right = 9;
Ожидаемый вывод:
long expected = 10;
Пояснение
All ten values have just one digit and therefore no equal neighbors.
Как подступиться
Сначала попробуйте сами, затем открывайте подсказки по одной.
Подсказка 1
Count valid numbers up to each endpoint, then subtract to get the range answer.
Подсказка 2
Digit DP fits because validity depends on adjacent digits and whether you have started the number.
Подсказка 3
Leading zeros need special handling so that shorter numbers are counted correctly.
Ожидаемая сложность
O(k * 10 * states) time, O(k * states) extra space
Ссылки
Это задание адаптировано для CodeUtility. Следуйте условию и ограничениям выше.