Background

Special for beginners, ^_^

Description

给定一张包含N个单词的表，每个单词有个价值W。要求从中选出一个子序列使得其 中的每个单词是后一个单词的子串，最大化子序列中W的和。

Format

Input

第一行一个整数TEST，表示数据组数。 接下来TEST组数据，每组数据第一行为一个整数N。 接下来N行，每行为一个字符串和一个整数W。

Output

TEST行，每行一个整数，表示W的和的最大值。

数据规模 设字符串的总长度为Len 30.的数据满足，TEST≤5，N≤500，Len≤10^4 100.的数据满足，TEST≤10，N≤20000，Len≤3*10^5

Samples

1
500
baababaaabbbabbbaaaabbbbaaabbbbabaabbababbabaabbbbabbaabbabbbabbabbabbaaaaabbbbabaaabaabaaaaabbbabaaabbaaaabbbaabbbaabbbaabbbbbabaaaabbabbbaaaabbaaaaaaababbbaaaaaabbbabbbbbbaabaababbabbbbaaabababbbbbabbabaaaaabbabababaabbbbabbabaabbbaaababbbabbaaabbbbaabbabbbaaabbbaababbbbbaababbaaaabbbbbabaababbbaabbbaaabaabbbbaaaaabbbbabaabbbaaaaaabaaababaaabbabbabaaaabbbaabaabbbbbbaababaababaaaaabaabaabaaaaaabaaabbaabababbabaaabbababaaabbbaabbbabbbababbbbbbaaabbbaababbbbbbababbaabbbbbaaaabbaabaabbbabbabaababbababaaabaaaababaaabbbbaaabbabbbabaabbabababbaaabaabaaaaabbbabbaaabbaababbaaaaaabaabbaababbbbabbaabaabaaaaabaabaabbbaabbbabaabbabbaaaabababbaaabbbaabababaabbababaaabaabaaaabbbabababbbbbabaaaabbabbbbaaaabbbaaaaaaababaaaabababaababbaaabababaabbabbbbaaabaabababbaaaaabbbaabbababaaaabbababaaaababbaabbbbabbbbaababbbbaaabaaabbbbaabaaabaabaabbbbaaaabaaabbbbbbbaabbabbaaaabbbbabbaabaaaaaabbabbbabaabbaabaaababbbaababaaaabbabbbbbbabbaaababbaaabaaabbaaaabbbabaabaaababaabababbbbbaaabbaaababbaaaaabbbbaabbabaabbbbbbbabbbababaabaabbbabaabaabbabaabbaaaaaaaabaaaaabbabaaababbabaabbaababbbbbbbbaaabbaaaababbabaabaabbbabbabaabbabbabbabbbabbbbbababbbabbbbaaaaaaaaabbbaaababbbbababaaaabbabbbbbbbaabababbaaaababbababaaaaaaabababbaabbababbaabbaaabaaabbaaaaabababbbabbbaaaaaabbbbaabaaabaababbaababbbaaaaaababbabaaaabbbababbaababaaaaabbabbbabbababbabaaaaaaaabbbbbabbaaaababbbaabaaabaaabbabbaaaaabaabbbbbbbabaabbbaabaaaabaabbabbababaabbaabbbbbaaaaaaabbbabaaaaaaaabaabbabaabbabbabbbbbaabaabaaabaabbaabaaaaabbbbbbbaabbbbaaaabbbababaababbbabaaababaabaabaababaaababbbbababaabbababbaabbbaabbbaaabbabababaabbabaabbbbaaaababbaabbabaaaaabbabbbbabbabaaaabaabbabbbabbbbabbababaabbabaabbbbbbbbabbbabbbabaabbaabaabaababbbbabaaababaaababbabbabaaaabaaabaaaababbabbbbbabaaabbaabababbbbaaabbbbbaaabaabaaaabbbaabbbabbaaaaabbaabbaabbbababbaabbbbbabaabaabbaaababababaaabababbbbabaaaababbabbbabbabbbbbbabbaabbbaabaabbabbbbaaaaaababaababbbabbabababbababababbaabbaababbabbaabaaabbbbbbbbaaabaabbbbbbbabbabaaabaaaabbabbbbbbbbbabbbaabbbabbbbaabbaababbbbbbbbaaababbaaaaaababababbbabaaabbbaaaabababbbabbbabaababaabaababbbabbaaaaabbabaaabaaabbabaababbaaabbaaabbaaababbbaabbaaaaaababaaaabbbbbaaababbabbbabbbababababaabbbbabaaaaababbabbaaabbabbabbabbaaaaaaabbbbabbaababbbbabbbaabaabbababbbabbbbbbbbbbaabbabbbbaabaaababbbbbbababaababaabababaabaabbaaabbabaaabbbabbabbaabbbaaabaaababbabaabaaaabaaababbbbbaaaaabbaabbaababababbbabaabbabbabbbaabbbbbaabaabbabaabbaabbabbabbaaababbaabbbabaabbaabaaaaabbabbababaabbbabaaabababbbbaaaabaaababbbabaaaabbbbaaaaaaaaaaaaaaabbbaaaabbaabbaabaabbabbabbbbaabaabbaaabbbabbababbbbbbbbbbabaaabaababbabbbbaaaaabababbbaaabbbbababbbbbaabbaaabbbabbaaabbabbbbbabbabbbaaaaabbaababbbaaababaababbbababaaabbbabbaaaabbaaaaaaaaabaaaabbaaabaaaabbbaaababbbbbababbababaabaaabaabbbbbbbaaabbaabaababaabbbaabbaabbaaabaaababbbaababbaabaababbaaababaabaabbabbaababbbabaabaaabbbaabbaaabbbbaababbbbaabbabaabbbbababbbbbaaaabbbbbbabbbababbaabbbaabaabbaaaaababbbbbbbabbbabaababaabababbabbbbabbababbaabbabaababbbbbabbbbbaabbabbaaaaabababbbbabbbbaabbaaabbaaaabababaabbbababaababaabbaaaaabaaabbbbbbbabaabbbbaaabababaabbababbabaabbababbbbbbbbbbbaaaabbabbababbaabbbababbbbaaabbaababbabbbaabbbbaaabbaaaaabaababaaaabbaabaaabaababbabbababbbbaabababaabaabababbbababbbbabababbabbbbbbbbaabaaabbbabbbbabaabbabbbabbaaabaabbbbabaaaaabbbaabbbbbaaaabaababbbaabaaabbbbaabaaaaaabbbbabbbbbbbabaaabbabaaaabbaabbbbabbaaaaaababbbbbbbbaaaabababbbaabaabbabaababbbabaaaaaababaaababbbaababbabbaabbaabababbbbbaaaaaaabbaaababaaaaaabbabbbbbbaabaabaabbaaabbbbabbbbbabbbaaabbababaabbabbbaaaaaaababababbbaabbaaabaabaaaaabbbbbbababbbabaaabaaabaaabbabaabbbbbababbaaabbbababaabaabaabbaaaabaabbabbbbabbababaaabababbbbbabaaabaabbaaabaabaabaaabbbabaabababbabababbabbaabbbbbbbbaabbbaaaaaaabababaabaaaabbbaabaaababbababaaabbbbbabababaaabbaababababbbbaababbbabbbbbaaaabbbbaaabaaaabababbbababbabbbabbbabbababaaaaabababbbaaabbbbbaababbabaabaaabaabbababaaabaaabbaaabaaaababababbabbbaababaabbbaaaaaaabaabbbabbaaababbbabbababbaaaaaaababbabbaabaababaaaaaaabaabbaaabbbaabbbbabbabaaaabbbbbaababaaaaaabbabaababaababbababbabbbabbbbaababbbbbbbaabaabbabaababbaaaabbbababbaaabaabbbbaabbbaaabbbaabaaabbbbbabbabbabbbbbabbaaabaaabbbabbbbbbababababaaabbbabbaaaaababbabbaaababaaaaababbbbbbabaababbabbbaaababbbaabbbbbabaaaabbbaabababababbbbbbbbaaaaabbbbbbaaaabbaabaaaabbaababaaabaabaabaaababbaaabaaabbababbababbbaabaaaababaabbaaabaaabaaabaabaaaababbabbaaaaaaabbbababbbabbbbbabbbbbabaabbabbababbbababbbabaabaabbbababbbbabbaabababbbbbababbbbbaababababaaaaaaabababaabbbaaaaaabbaaaabbabbaabbaaabaababaababbbbabaababaabaababbbabbaabbababbaabbabbababbbbaaabaabbbbbabaaabaababbbababaaabbaaaaaaabbbababaabbbbbaabbaabbabaababaaabbaababaaababbaaaaaaaaabbbaaaaabbbabbabbbbbaabbbbababbbaaabbaabbbbbbaabbbbaaababaaaabbababbbaabbaaaaabbaaabaabaaaabbaabaaaabbbbbababaaaaaabbbabbaabbaaaaabaabaabbaabbbaaaaaabbabababbababbaabbbaabbaaaaaaaabbabbbbbabbaababbbabbbabbaaaabaabbbbbbbaabbaaabbabbbaababbbabababbaaaabaaaabbabaabaaababaabaaaabababaabaaabaabbbabaaaabaaabababaababbbaabaababbabbaaaaaaabbbaaaabbabbaabaabaabbabbabbabababbabbaabaabbabbabaabbbabaaaaabababbaaaaaaabbabbaaaaabbbabbbbaaaabbbbbbaababbabbaaabbbbbabaababbaaaababaabaabbabaaaaabaaaabaaabbbbababaabaabbbbbaabbbbabbbaaaaabaabbaababbbababbbbbbabbbbaabbbbabbaaabbaabaabbbabbbbbaaaaababbaabbbaabaabaaaaababaabbbbbbbabbaaaabbbbbabbaaabbababbbabbbbbaabbababaabbaaaaaaabbaaabababaabaaaaabbbbbbbbabaababbabbaaaaabbbbabbbbbaaababbaaaabbababbbaabaabaaabbabababababababbabaaabbaaabaabbabaabaabbbbabbaabbbbaabbaaaaabaabbaaababbbbbaaaabbbaabbbbbabbabbaababbaabbbabaaaabbbbaabaabaabbbbbbaabbbabbbaababbbabababbbaabaabbaaabbaaaabbaabaaabaabbbbbbbabaabbaaaaabaaaabbabababbaabbaababbabbabaabbaababbbbbababaaaabaababaabaababbbbbabbaaabbbbbaababaabababbabbaabbaaabbaaaaabbbaabbbbbaaaabaabaaabaabaaabababaaaababaabaabbbbbabaaabbbabbbbbabbaababbababaaaaaabbababaaabbabbbbbbaaabbbbaaabaabaaabaaaabbbabababaaabbababbbaaaabbbbbaabaaababbaaaaaaabaabaabaabbbbbbaabbbabababbabbbbabbabababaaaabaaaaabbbbaababbbbaaabbbbbaabaabbaababbaaabaabaaabbbbaabababaaabbbbabaababababbbaababbabbbbbbabbbbaaabbaaabbbabbabaabbaaabaaaabbbbbbbaabaabbbbbbabbbbabbbabbabaabaabbaababbbbaababbaaaababbbbbbbaaaabaababbabbbbbabaabaabbaabbaaabbabbbbabbbbbbbbbaabaaaabababaabaabbbabbbaababbaaaabbaababbababbbabbbabbaaabbbbabaaaabbbbbbbabaaaaabbabbaaaaaabbaabaaababbbbaaaaabaabaaabbabbabaabaababbbbbbbabbbaaaabbaaababababbaaaaabbaabaabababaababbabaaaabbbbbababbbbaaabbbbaabbbbaabbabbababaaaaabaababbababbbbbaababaabbaaababbaabaaabbbaaabbabbbbaaabaaabaaabbabaabaabaaaaaabbabbaaababbabaabbbababababbbabaaaababbbaaaabbabaabbbbbabaaaabababbabbbbabbbbaaababababbaabbaaabbbaababbaababababbbabbababaaabbbaabbbabbaaabaabbbabaaaaaaaaaaaabbaaaabbbabbbbbaaaaabaabaabbababbbaababbaabbbbaabbaaabababababaaabbbaaababbabbbbaaaaabbaaabaaaabbbaabaabbbaabaabaaaaaaaaaaaaabbaabbbbabbababbaaabaabbbbbbabbabbabaababbaabbbaaaabbabaaabababbabbbabaaaabbaabbbaaaaaabaabbabbabaaaaaaabaabbbbaababaaaaaabababbaababbabaaaabaabaabbaabbaabababaaabbaabbabbabbaaaaaaaaababbbaabbbbaaabbababaababbbbabaabaabbabbbaaaaaabbababbbabbbaababbabbabbbbababbabababbababbbaaaaabbbbbbabbaaabaaabaaaaaabbbababbbbababbbbbbababbabaaababbbbbabbaaabbaaabbbbabbbbbaaabababaaabbabbbbbbabaaababaaabaababaaaababaababaaababaabbbbabbaaabbabababababbbabbaabbbbabbbbbabbaaaabab 542
aabbabbaaaabaabbbbbbbbbbaaabbbabbbaabbbbbbbaabbbbbbabbbaabbabababaabbbbbbababbbababaaababbaaababbaabbbbaaaabbbbaabbbbbabaaabaabbbababaabbababbaaaabbabbbabbaabbbbbbabbbaaabbbbaabababbababbbaabbaababaaabbaabaabbabababbbabaabbaabababaabaaababbbbbbaabbaaabbbabbbabbbaaaaabaabaaabaaabbaababbbbbaababaababbbbbbaaababaababbababbaabbbbbabaabbbabababaaabbaabaabbabbababbaabbaaababbbaabababbaaabbabaabbbabaabbbbbaaaababaababaabbbbaaabaabababaaaababbbbbbaaaabbabbbaaababbbaabbaaabbbaabbbbabbabbbabaaabaabaaababbbbbbaabbbbaababbaabbbaaababbbbaaabaabaaabaaababaaaabbaaababaaabaababaaaaabababbabbbbaabbaaaabbabbaaabaaaaaababbaaaababbbaabbbbbbbbbaabbabaabaabbbbaaaabbbbbaaaaabbbbaabbabbbaabaaaabbbbbabbbaabaabbbaabbbbaaaababaaabbaaabbbaaaaabaaaabbaabbbbbbbabbabbabbbaabbbbbbaaaababbbbbaabbaaaaaaabaaaaabababbbbbaabbbbbababbbbaaaababaabbabbbbabbabbbbbbbbbbabababbabbababbaabababaabbaababbababaabbabbbabbbabbaaabbaabbaabbbaabbbbbbabbbbbaaaaaaaaaabaabbaabbabbbbbbbabbbaabbaabababaaabaaaaaaaaaabaabbbbbabbababbbaaabbaab 275
aabbbbabbbbaaaababbbbbabaaaabbaaababaababaaaaaabaaabaabbbbbbbabbabbbabbabaaaabaabbbbabbbbbbbbaaaaabababbbabbaaababbaaaaababbbabbababaaaab 535
abbabaaaabaabaabbaabbaaabababbbbaabbbbbaabaababbbbbbaaaaababbbaaabaaaaaabbabaabbaaaabbbabababbbabaabbabbabababbababaaaabbabbabbbbababbabaaaaababbaabaabbbabab 565
bbabb -685
ba 279
aa 214
a -912
aaaaba 356
a 277
b 888
b 272
a -347
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a 550
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a 285
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a 642
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a 688
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a -533
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a 12
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a 36
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b -195
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a -387
a -654
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a 293
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b 640
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a 894
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a 605
b -730
a -786
a 780
a 178
b -816
b 575
b -818
a 556
b 683
a -270
b 471
b -39
a -971
a 667
a 123
a 274
a -45
a 751
b -648
a 885
b -10
a -915
a 225
b -684
b -560
a -770

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