CSES - Datatähti 2023 alku

Submission details
Task:	Kertoma
Sender:	adex720
Submission time:	2022-11-13 15:23:43 +0200
Language:	Java
Status:	READY
Result:	46

Feedback
group	verdict	score
#1	ACCEPTED	22
#2	ACCEPTED	24
#3	RUNTIME ERROR	0

Test results
test	verdict	time	group
#1	ACCEPTED	0.12 s	1, 2, 3	details
#2	ACCEPTED	0.12 s	1, 2, 3	details
#3	ACCEPTED	0.12 s	1, 2, 3	details
#4	ACCEPTED	0.17 s	1, 2, 3	details
#5	ACCEPTED	0.16 s	1, 2, 3	details
#6	ACCEPTED	0.17 s	1, 2, 3	details
#7	ACCEPTED	0.17 s	2, 3	details
#8	ACCEPTED	0.17 s	2, 3	details
#9	ACCEPTED	0.17 s	2, 3	details
#10	ACCEPTED	0.17 s	2, 3	details
#11	RUNTIME ERROR	0.99 s	3	details
#12	TIME LIMIT EXCEEDED	--	3	details
#13	TIME LIMIT EXCEEDED	--	3	details
#14	TIME LIMIT EXCEEDED	--	3	details
#15	TIME LIMIT EXCEEDED	--	3	details
#16	TIME LIMIT EXCEEDED	--	3	details

Code

import java.math.BigDecimal;
import java.math.BigInteger;
import java.math.RoundingMode;
import java.util.Scanner;

public class Kertoma {

    public static void main(String[] args) {
        long start = System.currentTimeMillis();

        Scanner scanner = new Scanner(System.in);
        //Scanner scanner = new Scanner(new File("maarat.txt"));
        String[] numerotString = scanner.nextLine().split(" ");
        int[] numerot = new int[10];
        int yhteensa = 0;

        for (int i = 0; i < 10; i++) {
            numerot[i] = Integer.parseInt(numerotString[i]);
            yhteensa += numerot[i];
        }

        if (yhteensa <= 6) {
            System.out.print(pienempiKuin10(numerot));
            return;
        }

        if (yhteensa <= 1000) {
            pieni(numerot, yhteensa);
            return;
        }

        int tarvittava = yhteensa / 20000;

        int maara = BigInteger.TEN.pow(yhteensa).bitLength();

        int min = Math.max(450, yhteensa / 5);
        int max = Math.min(143000, (int) (yhteensa * 0.5f));
        int tarkistus;

        double minSqrt = Math.sqrt(min);
        double maxSqrt = Math.sqrt(max);

        int veikkaus = 0;
        int tarkkuus = Integer.MAX_VALUE;

        while (true) {
            if (max - min <= 1) {
                if (max == min) {
                    veikkaus = max;
                    break;
                }

                int minArvio = arvioPituus(min, minSqrt);
                int maxArvio = arvioPituus(max, maxSqrt);

                int minEro = Math.abs(maara - minArvio);
                int maxEro = Math.abs(maara - maxArvio);

                veikkaus = minEro < maxEro ? min : max;
                break;
            }

            tarkistus = (int) ((min + max) * 0.5f);
            double sqrt = minSqrt + (maxSqrt - minSqrt) * 0.25d;
            //System.out.println(tarkistus);

            int arvio = arvioPituus(tarkistus, sqrt);
            int etaisyys = Math.abs(maara - arvio);

            if (etaisyys < tarkkuus) {
                veikkaus = arvio;
                tarkkuus = etaisyys;

                if (etaisyys <= tarvittava) break;
            }

            if (arvio < maara) {
                min = tarkistus;
                minSqrt = sqrt;
            } else {
                max = tarkistus;
                maxSqrt = sqrt;
            }

        }

        System.out.print(veikkaus);


        long end = System.currentTimeMillis();
        if (end - start > 500) throw new ArrayIndexOutOfBoundsException();

    }

    public static final BigDecimal E = new BigDecimal("2.7182818");

    public static final double SQRT = Math.sqrt(2 * Math.PI);

    public static int arvioPituus(int luku, double sqrt) {
        BigDecimal decimal = new BigDecimal(luku);
        BigDecimal kanta = decimal.divide(E, 10, RoundingMode.HALF_UP);
        BigDecimal potenssi = kanta.pow(luku);

        double kerroin = SQRT * sqrt;
        BigDecimal tulos = potenssi.multiply(BigDecimal.valueOf(kerroin));

        return tulos.toBigInteger().bitLength();
    }

    public static int pienempiKuin10(int[] numerot) {
        if (numerot[2] == 1) { // 2 4 5 6 8 9

            if (numerot[0] == 1) { // 5 6 9
                if (numerot[1] == 1)
                    return 5;
                if (numerot[7] == 1)
                    return 6;
                return 9;
            } else { // 2 4 8
                if (numerot[4] == 0)
                    return 2;
                if (numerot[0] == 0)
                    return 4;
                return 8;
            }

        } else { // 1 3 7
            if (numerot[1] == 1)
                return 1;
            if (numerot[6] == 1)
                return 3;
            return 7;
        }
    }

    public static void pieni(int[] numerot, int yhteensa) {
        int jaljella = numerot[0];
        int[] maarat = new int[8];
        int kerroin = 97656; // * 5n+1  8 kertaa,
        for (int i = 0; i < 8; i++) {
            int maara = (int) (jaljella / (double) kerroin);

            jaljella -= maara;
            maarat[7 - i] = maara;

            kerroin -= 1;
            kerroin *= 0.2;
        }

        int bitteja = BigInteger.TEN.pow(yhteensa).bitLength();

        int max = maarat[0] * 5; // Jos kaikki nollat olisivat luvun lopussa, tämä luku olisi

        int min = 10;
        int perus = (int) ((min + max) * 0.5f);
        BigInteger edellinenPienempi = kertoma(new BigInteger(min + ""));
        int edellinenPienempiLuku = min - 1;
        while (true) {
            BigInteger kertoma = kertoma(new BigInteger(perus + ""), new BigInteger(edellinenPienempiLuku + 1 + "")).multiply(edellinenPienempi);
            int pituus = kertoma.bitLength();

            int ero = pituus - bitteja;
            if (ero >= 0 && ero <= 4) {
                int len = kertoma.toString().length();
                // System.out.println("kertoma: " + perus + ", pituus: " + len + ", oikea: " + yhteensa);
                if (len - 1 == yhteensa) {
                    System.out.print(perus);
                    return;
                }
            }

            if (ero > 0) {
                if (max == perus) break;
                max = perus;
            } else {
                if (min == perus) break;
                min = perus;
                edellinenPienempi = kertoma;
                edellinenPienempiLuku = perus;
            }
            perus = min + (max - min) / 2;
        }


    }

    public static BigInteger kertoma(BigInteger luku) {
        if (luku.compareTo(BigInteger.ONE) == 0) {
            return luku;
        }

        return kertoma(luku.subtract(BigInteger.ONE)).multiply(luku);
    }

    public static BigInteger kertoma(BigInteger luku, BigInteger asti) {
        if (luku.compareTo(asti) == 0) {
            return luku;
        }

        return kertoma(luku.subtract(BigInteger.ONE), asti).multiply(luku);
    }

}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
`0 0 1 0 0 0 0 0 0 0` view save

correct output
`2` view save

user output
`2` view save

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
`0 0 0 0 0 0 1 0 0 0` view save

correct output
`3` view save

user output
`3` view save

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

input
`0 0 1 0 1 0 0 0 0 0` view save

correct output
`4` view save

user output
`4` view save

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

input
`2 0 1 1 0 0 1 0 2 0` view save

correct output
`10` view save

user output
`10` view save

Test 5

Group: 1, 2, 3

Verdict: ACCEPTED

input
`9 3 1 1 2 2 3 1 6 1` view save

correct output
`27` view save

user output
`27` view save

Test 6

Group: 1, 2, 3

Verdict: ACCEPTED

input
`10 4 3 4 3 2 2 4 3 7` view save

correct output
`36` view save

user output
`36` view save

Test 7

Group: 2, 3

Verdict: ACCEPTED

input
`71 53 36 30 25 29 42 24 34 29` view save

correct output
`199` view save

user output
`199` view save

Test 8

Group: 2, 3

Verdict: ACCEPTED

input
`71 33 46 38 27 45 36 21 35 35` view save

correct output
`205` view save

user output
`205` view save

Test 9

Group: 2, 3

Verdict: ACCEPTED

input
`93 38 35 26 43 54 38 25 41 34` view save

correct output
`222` view save

user output
`222` view save

Test 10

Group: 2, 3

Verdict: ACCEPTED

input
`100 33 33 45 36 43 38 54 56 36` view save

correct output
`242` view save

user output
`242` view save

Test 11

Group: 3

Verdict: RUNTIME ERROR

input
`3419 1797 1845 1849 1879 1791 ...` view save

correct output
`5959` view save

user output
`5959` view save

Error:

Exception in thread "main" java.lang.ArrayIndexOutOfBoundsException
	at Kertoma.main(Kerto...

Test 12

Group: 3

Verdict: TIME LIMIT EXCEEDED

input
`4776 2695 2709 2781 2616 2753 ...` view save

correct output
`8391` view save

user output
(empty)

Test 13

Group: 3

Verdict: TIME LIMIT EXCEEDED

input
`20097 12282 12229 12214 12406 ...` view save

correct output
`32001` view save

user output
(empty)

Test 14

Group: 3

Verdict: TIME LIMIT EXCEEDED

input
`47934 29918 29878 29713 29984 ...` view save

correct output
`71718` view save

user output
(empty)

Test 15

Group: 3

Verdict: TIME LIMIT EXCEEDED

input
`84691 54156 54277 54533 54296 ...` view save

correct output
`123123` view save

user output
(empty)

Test 16

Group: 3

Verdict: TIME LIMIT EXCEEDED

input
`99098 63339 63878 64182 63904 ...` view save

correct output
`142663` view save

user output
(empty)

Datatähti 2023 alku

Kertoma

Code

Test details

Test 1

Test 2

Test 3

Test 4

Test 5

Test 6

Test 7

Test 8

Test 9

Test 10

Test 11

Test 12

Test 13

Test 14

Test 15

Test 16

Tasks

Submissions (adex720)