Code/Lucky Numbers.cpp at master · sushiljacksparrow/Code · GitHub

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 #include <stdio.h>

    const int MAX_LENGTH = 18;
    const int MAX_SUM = 162;
    const int MAX_SQUARE_SUM = 1458;
    int primes[1460];
    unsigned long long dyn_table[20][164][1460];
    //changed here.......1
    unsigned long long ans[19][10][164][1460];  //about 45 MB

    int start[19][163];
    int end[19][163];
    //upto here.........1
    void gen_primes() {
        for (int i = 0; i <= MAX_SQUARE_SUM; ++i) {
            primes[i] = 1;
        }
        primes[0] = primes[1] = 0;

        for (int i = 2; i * i <= MAX_SQUARE_SUM; ++i) {
            if (!primes[i]) {
                continue;
            }
            for (int j = 2; i * j <= MAX_SQUARE_SUM; ++j) {
                primes[i*j] = 0;
            }
        }
    }

    void gen_table() {
        for (int i = 0; i <= MAX_LENGTH; ++i) {
            for (int j = 0; j <= MAX_SUM; ++j) {
                for (int k = 0; k <= MAX_SQUARE_SUM; ++k) {
                    dyn_table[i][j][k] = 0;
                }
            }
        }
        dyn_table[0][0][0] = 1;

        for (int i = 0; i < MAX_LENGTH; ++i) {
            for (int j = 0; j <= 9 * i; ++j) {
                for (int k = 0; k <= 9 * 9 * i; ++k) {
                    for (int l = 0; l < 10; ++l) {
                        dyn_table[i + 1][j + l][k + l*l] += dyn_table[i][j][k];
                    }
                }
            }
        }
    }

    unsigned long long count_lucky (unsigned long long maxp) {
        unsigned long long result = 0;
        int len = 0;
        int split_max[MAX_LENGTH];
        while (maxp) {
            split_max[len] = maxp % 10;
            maxp /= 10;
            ++len;
        }
        int sum = 0;
        int sq_sum = 0;
        unsigned long long step_result;
        unsigned long long step_;
        for (int i = len-1; i >= 0; --i) {
            step_result = 0;
            int x1 = 9*i;
            for (int l = 0; l < split_max[i]; ++l) {
    //changed here........2
                step_ = 0;
                if(ans[i][l][sum][sq_sum]!=0)
                    {
                        step_result +=ans[i][l][sum][sq_sum];
                        continue;
                    }
                int y = l + sum;
                int x = l*l + sq_sum;
                for (int j = 0; j <= x1; ++j) {
                    if(primes[j + y])
                        for (int k=start[i][j]; k<=end[i][j]; ++k) {
                            if (primes[k + x]) {
                                step_result += dyn_table[i][j][k];
                                step_+=dyn_table[i][j][k];
                            }
                    }

                }
                 ans[i][l][sum][sq_sum] = step_;
    //upto here...............2
            }
            result += step_result;
            sum += split_max[i];
            sq_sum += split_max[i] * split_max[i];
        }

        if (primes[sum] && primes[sq_sum]) {
            ++result;
        }

        return result;
    }

    int main(int argc, char** argv) {
        gen_primes();
        gen_table();

    //changed here..........3
        for(int i=0;i<=18;i++)
            for(int j=0;j<=163;j++)
                {
                    for(int k=0;k<=1458;k++)
                            if(dyn_table[i][j][k]!=0ll)
                                {
                                    start[i][j] = k;
                                    break;
                                }

                    for(int k=1460;k>=0;k--)
                            if(dyn_table[i][j][k]!=0ll)
                                {
                                    end[i][j]=k;
                                    break;
                                }
                }
    //upto here..........3
        int cases = 0;
        scanf("%d",&cases);
        for (int i = 0; i < cases; ++i) {
            unsigned long long a, b;

            scanf("%lld %lld", &a, &b);
    //changed here......4
            if(b == 1000000000000000000ll)
                b--;
    //upto here.........4
            printf("%lld\n", count_lucky(b) - count_lucky(a-1));
        }
        return 0;

}