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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#519132 | #8520. Xor Partitions | SocialPanda | TL | 389ms | 95596kb | Java11 | 1.2kb | 2024-08-14 16:31:01 | 2024-08-14 16:31:02 |
Judging History
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...