CSES - Datatähti 2020 alku - Results
Submission details
Task:Lukuvälit
Sender:eliaskosunen
Submission time:2019-10-01 23:06:51 +0300
Language:C++17
Status:READY
Result:12
Feedback
groupverdictscore
#1ACCEPTED12
#20
#30
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2, 3details
#2ACCEPTED0.01 s1, 2, 3details
#3ACCEPTED0.01 s1, 2, 3details
#4ACCEPTED0.01 s1, 2, 3details
#5ACCEPTED0.01 s1, 2, 3details
#6ACCEPTED0.02 s1, 2, 3details
#7ACCEPTED0.01 s1, 2, 3details
#8ACCEPTED0.01 s1, 2, 3details
#9ACCEPTED0.01 s1, 2, 3details
#10ACCEPTED0.01 s1, 2, 3details
#11ACCEPTED0.02 s1, 2, 3details
#12ACCEPTED0.01 s1, 2, 3details
#13--2, 3details
#14--2, 3details
#15--2, 3details
#16--2, 3details
#17ACCEPTED0.09 s2, 3details
#18--2, 3details
#19ACCEPTED0.01 s2, 3details
#20--2, 3details
#21--3details
#22--3details
#23--3details
#24--3details
#25--3details
#26--3details
#27--3details
#28--3details

Code

// Lukuvälit

#include <algorithm>
#include <iostream>
#include <numeric>
#include <set>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using i64 = int64_t;

i64 hob(i64 i)
{
    return 1ll << (64ll -
                   static_cast<int64_t>(
                       __builtin_clzll(static_cast<uint64_t>(i))) -
                   1ll);
}
i64 round_up_10(i64 i)
{
    return ((i + 10ll - 1ll) / 10ll) * 10ll;
}

static constexpr i64 precalc[] = {
    0,         1,         10,        11,        100,       101,       110,
    111,       1000,      1001,      1010,      1011,      1100,      1101,
    1110,      1111,      10000,     10001,     10010,     10011,     10100,
    10101,     10110,     10111,     11000,     11001,     11010,     11011,
    11100,     11101,     11110,     11111,     100000,    100001,    100010,
    100011,    100100,    100101,    100110,    100111,    101000,    101001,
    101010,    101011,    101100,    101101,    101110,    101111,    110000,
    110001,    110010,    110011,    110100,    110101,    110110,    110111,
    111000,    111001,    111010,    111011,    111100,    111101,    111110,
    111111,    1000000,   1000001,   1000010,   1000011,   1000100,   1000101,
    1000110,   1000111,   1001000,   1001001,   1001010,   1001011,   1001100,
    1001101,   1001110,   1001111,   1010000,   1010001,   1010010,   1010011,
    1010100,   1010101,   1010110,   1010111,   1011000,   1011001,   1011010,
    1011011,   1011100,   1011101,   1011110,   1011111,   1100000,   1100001,
    1100010,   1100011,   1100100,   1100101,   1100110,   1100111,   1101000,
    1101001,   1101010,   1101011,   1101100,   1101101,   1101110,   1101111,
    1110000,   1110001,   1110010,   1110011,   1110100,   1110101,   1110110,
    1110111,   1111000,   1111001,   1111010,   1111011,   1111100,   1111101,
    1111110,   1111111,   10000000,  10000001,  10000010,  10000011,  10000100,
    10000101,  10000110,  10000111,  10001000,  10001001,  10001010,  10001011,
    10001100,  10001101,  10001110,  10001111,  10010000,  10010001,  10010010,
    10010011,  10010100,  10010101,  10010110,  10010111,  10011000,  10011001,
    10011010,  10011011,  10011100,  10011101,  10011110,  10011111,  10100000,
    10100001,  10100010,  10100011,  10100100,  10100101,  10100110,  10100111,
    10101000,  10101001,  10101010,  10101011,  10101100,  10101101,  10101110,
    10101111,  10110000,  10110001,  10110010,  10110011,  10110100,  10110101,
    10110110,  10110111,  10111000,  10111001,  10111010,  10111011,  10111100,
    10111101,  10111110,  10111111,  11000000,  11000001,  11000010,  11000011,
    11000100,  11000101,  11000110,  11000111,  11001000,  11001001,  11001010,
    11001011,  11001100,  11001101,  11001110,  11001111,  11010000,  11010001,
    11010010,  11010011,  11010100,  11010101,  11010110,  11010111,  11011000,
    11011001,  11011010,  11011011,  11011100,  11011101,  11011110,  11011111,
    11100000,  11100001,  11100010,  11100011,  11100100,  11100101,  11100110,
    11100111,  11101000,  11101001,  11101010,  11101011,  11101100,  11101101,
    11101110,  11101111,  11110000,  11110001,  11110010,  11110011,  11110100,
    11110101,  11110110,  11110111,  11111000,  11111001,  11111010,  11111011,
    11111100,  11111101,  11111110,  11111111,  100000000, 100000001, 100000010,
    100000011, 100000100, 100000101, 100000110, 100000111, 100001000, 100001001,
    100001010, 100001011, 100001100, 100001101, 100001110, 100001111, 100010000,
    100010001, 100010010, 100010011, 100010100, 100010101, 100010110, 100010111,
    100011000, 100011001, 100011010, 100011011, 100011100, 100011101, 100011110,
    100011111, 100100000, 100100001, 100100010, 100100011, 100100100, 100100101,
    100100110, 100100111, 100101000, 100101001, 100101010, 100101011, 100101100,
    100101101, 100101110, 100101111, 100110000, 100110001, 100110010, 100110011,
    100110100, 100110101, 100110110, 100110111, 100111000, 100111001, 100111010,
    100111011, 100111100, 100111101, 100111110, 100111111, 101000000, 101000001,
    101000010, 101000011, 101000100, 101000101, 101000110, 101000111, 101001000,
    101001001, 101001010, 101001011, 101001100, 101001101, 101001110, 101001111,
    101010000, 101010001, 101010010, 101010011, 101010100, 101010101, 101010110,
    101010111, 101011000, 101011001, 101011010, 101011011, 101011100, 101011101,
    101011110, 101011111, 101100000, 101100001, 101100010, 101100011, 101100100,
    101100101, 101100110, 101100111, 101101000, 101101001, 101101010, 101101011,
    101101100, 101101101, 101101110, 101101111, 101110000, 101110001, 101110010,
    101110011, 101110100, 101110101, 101110110, 101110111, 101111000, 101111001,
    101111010, 101111011, 101111100, 101111101, 101111110, 101111111, 110000000,
    110000001, 110000010, 110000011, 110000100, 110000101, 110000110, 110000111,
    110001000, 110001001, 110001010, 110001011, 110001100, 110001101, 110001110,
    110001111, 110010000, 110010001, 110010010, 110010011, 110010100, 110010101,
    110010110, 110010111, 110011000, 110011001, 110011010, 110011011, 110011100,
    110011101, 110011110, 110011111, 110100000, 110100001, 110100010, 110100011,
    110100100, 110100101, 110100110, 110100111, 110101000, 110101001, 110101010,
    110101011, 110101100, 110101101, 110101110, 110101111, 110110000, 110110001,
    110110010, 110110011, 110110100, 110110101, 110110110, 110110111, 110111000,
    110111001, 110111010, 110111011, 110111100, 110111101, 110111110, 110111111,
    111000000, 111000001, 111000010, 111000011, 111000100, 111000101, 111000110,
    111000111, 111001000, 111001001, 111001010, 111001011, 111001100, 111001101,
    111001110, 111001111, 111010000, 111010001, 111010010, 111010011, 111010100,
    111010101, 111010110, 111010111, 111011000, 111011001, 111011010, 111011011,
    111011100, 111011101, 111011110, 111011111, 111100000, 111100001, 111100010,
    111100011, 111100100, 111100101, 111100110, 111100111, 111101000, 111101001,
    111101010, 111101011, 111101100, 111101101, 111101110, 111101111, 111110000,
    111110001, 111110010, 111110011, 111110100, 111110101, 111110110, 111110111,
    111111000, 111111001, 111111010, 111111011, 111111100, 111111101, 111111110,
    111111111};

static constexpr i64 powers_of_10[] = {1'000'000'000,
                                       1'000'000'000,
                                       100'000'000,
                                       100'000'000,
                                       100'000'000,
                                       10'000'000,
                                       10'000'000,
                                       10'000'000,
                                       1'000'000,
                                       1'000'000,
                                       1'000'000,
                                       1'000'000,
                                       100'000,
                                       100'000,
                                       100'000,
                                       10000,
                                       10000,
                                       10000,
                                       1000,
                                       1000,
                                       1000,
                                       1000,
                                       100,
                                       100,
                                       100,
                                       10,
                                       10,
                                       10,
                                       1,
                                       1,
                                       1,
                                       1,
                                       1};
i64 first_digit(i64 i)
{
    auto lz = static_cast<i64>(__builtin_clzll(static_cast<uint64_t>(i)));
    i /= powers_of_10[lz - 32];
    if (i >= 10) {
        return 1;
    }
    else {
        return i;
    }
}

bool consists_of_zeroes_or_ones(i64 i)
{
    while (i > 0) {
        auto digit = i % 10;
        if (digit != 0 && digit != 1) {
            return false;
        }
        i /= 10;
    }
    return true;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n;
    cin >> n;
    vector<pair<i64, i64>> vec(n);
    for (int i = 0; i < n; ++i) {
        i64 a, b;
        cin >> a >> b;
        vec[i] = make_pair(a, b);
    }

    set<i64> cache{begin(precalc), end(precalc)};
    if (n < 10) {
        for (auto& p : vec) {
            int counter = 0;
            if (p.first == 0) {
                ++counter;
                ++p.first;
            }
            for (auto i = p.first; i <= p.second; ++i) {
                if (i > 11111) {
                    if (cache.count(i) == 1) {
                        ++counter;
                        continue;
                    }
                    if (first_digit(i) != 1) {
                        i = round_up_10(i) - 1;
                        continue;
                    }
                    if (i >= 1111111111111111112ll) {
                        break;
                    }
                }
                if (consists_of_zeroes_or_ones(i)) {
                    ++counter;
                    cache.insert(i);
                }
            }
            cout << counter << '\n';
            // printf("[%ld, %ld]: %d\n", p.first, p.second, counter);
        }
    }
    else {
        set<i64> begins{}, ends{};
        for (const auto& p : vec) {
            begins.insert(p.first);
            ends.insert(p.second);
        }
        auto a =
            max(*min_element(begins.begin(), begins.end()), i64{111111111});
        auto b = min(*max_element(ends.begin(), ends.end()),
                     i64{1111111111111111112});
        if (b >= 111111111) {
            for (auto i = a; i <= b; ++i) {
                if (first_digit(i) != 1) {
                    i = round_up_10(i) - 1;
                }
                if (consists_of_zeroes_or_ones(i)) {
                    cache.insert(i);
                }
            }
        }

        for (auto& p : vec) {
            int counter = 0;
            for (auto i = p.first; i <= p.second; ++i) {
                if (cache.count(i) == 1) {
                    ++counter;
                    continue;
                }
            }
            cout << counter << '\n';
            // printf("[%ld, %ld]: %d\n", p.first, p.second, counter);
        }
    }
}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
4
0 10
1 5
3 4
11 11

correct output
3
1
0
1

user output
3
1
0
1

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
1
0 0

correct output
1

user output
1

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

input
1
1000 1000

correct output
1

user output
1

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

input
16
0 0
0 1
0 2
1 1
...

correct output
1
2
2
1
1
...

user output
1
2
2
1
1
...

Test 5

Group: 1, 2, 3

Verdict: ACCEPTED

input
9
0 0
0 1
0 10
0 11
...

correct output
1
2
3
4
5
...

user output
1
2
3
4
5
...

Test 6

Group: 1, 2, 3

Verdict: ACCEPTED

input
1000
0 1000
0 1000
0 1000
0 1000
...

correct output
9
9
9
9
9
...

user output
9
9
9
9
9
...

Test 7

Group: 1, 2, 3

Verdict: ACCEPTED

input
1000
100 111
0 101
1 10
10 110
...

correct output
4
6
2
5
8
...

user output
4
6
2
5
8
...

Test 8

Group: 1, 2, 3

Verdict: ACCEPTED

input
1000
480 564
753 988
479 909
32 973
...

correct output
0
0
0
4
0
...

user output
0
0
0
4
0
...

Test 9

Group: 1, 2, 3

Verdict: ACCEPTED

input
1000
98 111
8 111
98 111
111 113
...

correct output
4
6
4
1
7
...

user output
4
6
4
1
7
...

Test 10

Group: 1, 2, 3

Verdict: ACCEPTED

input
1000
0 0
1 1
2 2
3 3
...

correct output
1
1
0
0
0
...

user output
1
1
0
0
0
...

Test 11

Group: 1, 2, 3

Verdict: ACCEPTED

input
1000
0 1000
0 999
1 1000
0 998
...

correct output
9
8
8
8
7
...

user output
9
8
8
8
7
...

Test 12

Group: 1, 2, 3

Verdict: ACCEPTED

input
1
0 1000

correct output
9

user output
9

Test 13

Group: 2, 3

Verdict:

input
100000
0 100000
0 100000
0 100000
0 100000
...

correct output
33
33
33
33
33
...

user output
(empty)

Test 14

Group: 2, 3

Verdict:

input
100000
86042 98295
30077 80920
45856 67174
3890 60412
...

correct output
0
0
0
16
0
...

user output
(empty)

Test 15

Group: 2, 3

Verdict:

input
100000
11 10000
1111 11000
1011 1100
1110 1111
...

correct output
14
10
2
2
8
...

user output
(empty)

Test 16

Group: 2, 3

Verdict:

input
100000
9 9999
1109 1110
112 1012
11098 11101
...

correct output
14
1
4
2
6
...

user output
(empty)

Test 17

Group: 2, 3

Verdict: ACCEPTED

input
100000
0 0
1 1
2 2
3 3
...

correct output
1
1
0
0
0
...

user output
1
1
0
0
0
...

Test 18

Group: 2, 3

Verdict:

input
100000
0 100000
0 99999
1 100000
0 99998
...

correct output
33
32
32
32
31
...

user output
(empty)

Test 19

Group: 2, 3

Verdict: ACCEPTED

input
3
99999 99999
99999 100000
100000 100000

correct output
0
1
1

user output
0
1
1

Test 20

Group: 2, 3

Verdict:

input
1
0 100000

correct output
33

user output
(empty)

Test 21

Group: 3

Verdict:

input
100000
0 1000000000000000000
0 1000000000000000000
0 1000000000000000000
0 1000000000000000000
...

correct output
262145
262145
262145
262145
262145
...

user output
(empty)

Test 22

Group: 3

Verdict:

input
100000
179926689319432205 25677963778...

correct output
0
0
0
0
0
...

user output
(empty)

Test 23

Group: 3

Verdict:

input
100000
100110100011010101 11100011010...

correct output
74822
54944
140968
252594
23521
...

user output
(empty)

Test 24

Group: 3

Verdict:

input
100000
100110100011010102 11100011010...

correct output
74822
252594
94086
10836
11352
...

user output
(empty)

Test 25

Group: 3

Verdict:

input
100000
256779637786129463 25677963778...

correct output
0
0
0
0
0
...

user output
(empty)

Test 26

Group: 3

Verdict:

input
100000
0 1000000000000000000
0 999999999999999999
1 1000000000000000000
0 999999999999999998
...

correct output
262145
262144
262144
262144
262143
...

user output
(empty)

Test 27

Group: 3

Verdict:

input
3
999999999999999999 99999999999...

correct output
0
1
1

user output
(empty)

Test 28

Group: 3

Verdict:

input
1
0 1000000000000000000

correct output
262145

user output
(empty)