QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#519132#8520. Xor PartitionsSocialPandaTL 389ms95596kbJava111.2kb2024-08-14 16:31:012024-08-14 16:31:02

Judging History

你现在查看的是最新测评结果

  • [2024-08-14 16:31:02]
  • 评测
  • 测评结果:TL
  • 用时:389ms
  • 内存:95596kb
  • [2024-08-14 16:31:01]
  • 提交

answer

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

public class PartitionXorSum {
    private static final BigInteger MOD = BigInteger.valueOf(1_000_000_007);

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        long[] a = new long[n];
        
        for (int i = 0; i < n; i++) {
            a[i] = scanner.nextLong();
        }
        
        BigInteger result = calculatePartitionSum(n, a);
        System.out.println(result);
    }

    private static BigInteger calculatePartitionSum(int n, long[] a) {
        long[] xorSum = new long[n + 1];
        BigInteger[] dp = new BigInteger[n + 1];
        dp[0] = BigInteger.ONE; // Base case: one way to partition an empty sequence
        
        for (int i = 1; i <= n; i++) {
            xorSum[i] = 0;
            dp[i] = BigInteger.ZERO;
            for (int j = i; j > 0; j--) {
                xorSum[j] ^= a[i - 1];
                dp[i] = dp[i].add(dp[j - 1].multiply(BigInteger.valueOf(xorSum[j])));
                dp[i] = dp[i].mod(MOD);
            }
        }
        
        return dp[n];
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 89ms
memory: 54996kb

input:

4
7 3 1 2

output:

170

result:

ok 1 number(s): "170"

Test #2:

score: 0
Accepted
time: 73ms
memory: 53852kb

input:

1
0

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 89ms
memory: 59036kb

input:

1
1

output:

1

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 84ms
memory: 55872kb

input:

3
1 2 3

output:

16

result:

ok 1 number(s): "16"

Test #5:

score: 0
Accepted
time: 91ms
memory: 57260kb

input:

4
0 1 0 1

output:

2

result:

ok 1 number(s): "2"

Test #6:

score: 0
Accepted
time: 269ms
memory: 95528kb

input:

562
918479109239293921 960173570446350728 374394588863436385 418106819278123099 473761712658352147 662782574081105364 824954323015093862 827581845536521847 184394794881199801 820907621998888642 606529830885621237 961790689782125501 582742201855597942 337901250755571075 287706594894797714 18578215893...

output:

641941658

result:

ok 1 number(s): "641941658"

Test #7:

score: 0
Accepted
time: 363ms
memory: 95596kb

input:

806
154088894908249861 515620644168920420 987371724389985655 237699073224022026 870013393084040616 381176515155022022 684658378726319957 263518193038353112 315710296046387135 551218921219797967 118207002034108547 368754899860827737 935813803983235940 144555339393414539 776366257845243712 97482835862...

output:

322263213

result:

ok 1 number(s): "322263213"

Test #8:

score: 0
Accepted
time: 317ms
memory: 90964kb

input:

730
504625950218841699 11051067425914472 76969373706503912 549617734382960079 841136352271894226 827409290048280121 385214931443507037 450322494678858761 648956361691910260 885215198848035026 943077096807914988 563680977442136779 928183411196746637 238397217357311158 42194234771144128 13855813780489...

output:

302666182

result:

ok 1 number(s): "302666182"

Test #9:

score: 0
Accepted
time: 334ms
memory: 93040kb

input:

810
799481157885297669 36700891760566107 106799307598176179 525457060642356612 692305388685262192 734925968562669769 944342162656870872 318551639297444833 948338452318307252 947010621108694579 847591264136215873 843729821439293876 795197982657816209 514358412232554388 824474357024876223 262652125198...

output:

602149347

result:

ok 1 number(s): "602149347"

Test #10:

score: 0
Accepted
time: 338ms
memory: 91932kb

input:

753
19680670121054815 730848550760427515 382393175530043476 135251628628086143 953972980324431759 968402030274542386 239081692291889007 208406098506299898 210617837980094596 241386761622363415 614349192152783697 674634709373373543 954789607048365380 176448580882244695 495604367525148905 838787911842...

output:

444552931

result:

ok 1 number(s): "444552931"

Test #11:

score: 0
Accepted
time: 389ms
memory: 92652kb

input:

1000
5910966043171798 444610656319788280 3688812861187777 527406121506858974 348651678231967453 742595325576725873 269979149588588141 367500509520651713 721087042810251324 781730710329969382 273470825025201702 217943660725681870 798497786765762465 932985478420399210 51222819072897891 123000680900329...

output:

375397549

result:

ok 1 number(s): "375397549"

Test #12:

score: -100
Time Limit Exceeded

input:

10000
836416588552416746 715139925233188073 540045750150764470 657083656580111699 453024602030341020 32332432208735263 675754504084029016 182620749259887560 238151424129511167 51110718389056302 51405438498364014 122526276542156527 610483897196537731 847874891186284312 145487013148799803 786588991661...

output:


result: