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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#519143#8520. Xor PartitionsSocialPandaTL 269ms14184kbD933b2024-08-14 16:37:272024-08-14 16:37:28

Judging History

你现在查看的是最新测评结果

  • [2024-08-14 16:37:28]
  • 评测
  • 测评结果:TL
  • 用时:269ms
  • 内存:14184kb
  • [2024-08-14 16:37:27]
  • 提交

answer

import std.stdio;
import std.bigint;
import std.array;

enum MOD = 1_000_000_007;

void main() {
    // 读取输入
    int n;
    readf(" %d", &n);
    auto a = new ulong[n];
    foreach (i; 0 .. n) {
        readf(" %d", &a[i]);
    }

    auto result = calculatePartitionSum(n, a);
    writeln(result);
}

BigInt calculatePartitionSum(int n, ulong[] a) {
    auto prefixXor = new ulong[n + 1];
    auto dp = new BigInt[n + 1];
    dp[0] = BigInt(1); // Base case: one way to partition an empty sequence

    // 计算前缀异或
    for (int i = 1; i <= n; ++i) {
        prefixXor[i] = prefixXor[i - 1] ^ a[i - 1];
    }

    for (int i = 1; i <= n; ++i) {
        dp[i] = BigInt(0);
        for (int j = 1; j <= i; ++j) {
            ulong xorValue = prefixXor[i] ^ prefixXor[j - 1];
            dp[i] = (dp[i] + dp[j - 1] * BigInt(xorValue)) % MOD;
        }
    }

    return dp[n];
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 2744kb

input:

4
7 3 1 2

output:

170

result:

ok 1 number(s): "170"

Test #2:

score: 0
Accepted
time: 0ms
memory: 2688kb

input:

1
0

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 0ms
memory: 2832kb

input:

1
1

output:

1

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 0ms
memory: 2676kb

input:

3
1 2 3

output:

16

result:

ok 1 number(s): "16"

Test #5:

score: 0
Accepted
time: 0ms
memory: 2680kb

input:

4
0 1 0 1

output:

2

result:

ok 1 number(s): "2"

Test #6:

score: 0
Accepted
time: 84ms
memory: 7004kb

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: 171ms
memory: 7000kb

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: 136ms
memory: 7100kb

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: 167ms
memory: 6996kb

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: 149ms
memory: 7000kb

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: 269ms
memory: 14184kb

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: