[HackerEarth] Katappa killed Bahubali because he failed in maths exam every time, and Bahubali was the king of the state. So he killed him and redefined all mathematical equations. According to Katapp - P20026

P20026 [HackerEarth] Katappa killed Bahubali because he failed in maths exam every time, and Bahubali was the king of the state. So he killed him and redefined all mathematical equations. According to Katapp

普及

题目描述

Katappa killed Bahubali because he failed in maths exam every time, and Bahubali was the king of the state. So he killed him and redefined all mathematical equations. According to Katappa sum of two fractions w/x and y/z is (w/x)+(y/z)={(w+y)/(x+z)}. So now the problem is, given are N fractions, find the maximum fraction you can obtain by adding N fractions starting from a position ‘i’, where ‘i’ gets incremented each time.

Input :
The first line contains T the number of test cases. Next line of the test case will contain N denoting the number of fractions. Next N lines contains values in “x/y” form . A ‘$\n$’ will separate the next test case.
Output :
N lines for each test cases, each line displays a fraction which denotes the maximum value starting from the “i”th position. Fraction should be in the simplified form. Insert a newline after after finishing each of the test case.

Constraints:
1 ≤ Test cases T ≤ 5
1 ≤ N ≤ 10^5
1 ≤ x, y ≤ 10^5

Sample Input :
2
4
3/2
2/1
5/2
3/1
3
2/3
3/1
4/2

Sample Output :
13/6
5/2
8/3
3/1

3/2
3/1
2/1

Explanation:
Test case 1:
Starting from position 1.
3/2,
3/2 + 2/1 =5/3,
3/2+2/1+5/2=2/1
3/2+2/1+5/2+3/1=13/6 out of all the values 13/6 is the maximum
Increment “i”. Position 2.
2/1,
2/1+5/2=7/3
2/1+5/2+3/1=5/2 (5/2 is the highest value among the three.
Position 3.
5/2,
5/2+3/1=8/3 (8/3 is the highest value among the two)
Position 4
3/1, (only one value, so its the highest)

Test case 2:

i=1,
2/3,
2/3+3/1=5/4
2/3+3/1+4/2=3/2 (this the highest among all)
i=2,
3/1,
3/1+4/2=7/3 (3/1 is the highest among the two)
i=3,
4/2 (=2/1 only one value, hence it’s the highest)

SAMPLE INPUT
2
4
3/2
2/1
5/2
3/1
3
2/3
3/1
4/2

SAMPLE OUTPUT
13/6
5/2
8/3
3/1

3/2
3/1
2/1

输入格式

见题面

输出格式

见题面

样例输入

5
41
6334/18467
19169/26500
11478/15724
26962/29358
5705/24464
23281/28145
9961/16827
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20052/15502
26673/26177
10258/12522
11579/22488
16039/20899
5323/20757
21117/604
11820/3791
5583/967
11049/23902
9047/15382
11213/17581
18470/25522
30573/14993
9427/27184
18153/20313
27095/10113
1070/2215
13112/11624
8959/24190
18277/19761
30454/3739
15713/9633
10949/14857
20004/19753
15554/240
21823/27742
9379/4270
17598/23726
1669/22568
4178/8011
5940/22114
21424/16492
5542/14158
14388/31413
32200/13026
24010/12019
22654/25197
19214/1037
19684/43
10418/17208
22235/17687
19488/17513
18113/22784
21857/32528
28287/2271
25662/4867
8137/14184
10405/23992
24481/15327
21070/28600
29469/9005
9117/30288
10603/1843
11211/28042
1810/28766
27713/11868
13946/30076
27972/11550
25007/3534
1495/31809
22882/18782
23261/26431
11569/25490
22911/14798
6440/25602
12493/1881
27783/16775
3752/1712
19909/15252
9183/22015
32726/24010
13208/15101
3242/25030
12786/13157
30966/25406
13800/27050
25910/6732
17017/25063
16371/4105
11013/29460
27969/350
5883/24704
1933/25623
26801/10107
7573/16953
2963/21843
4536/24470
28032/31107
32368/23966
10097/2086
17437/20856
6492/16562
9220/82
32088/27874
3223/13813
13825/3060
31479/27036
23582/15893
5559/9478
20353/1050
25827/25034
20271/10096
19264/20715
23745/24150
9430/16556
28426/73
11948/5285
14330/24256
7123/1047
450/5658
31653/4733
26425/27349
21839/30307
27519/1792
7309/25211
13536/11251
25525/25838
28411/11325
28407/20720
6179/16862
3299/26263
15877/5303
22571/11501
28043/1342
18091/12868
23041/3958
10662/9929
32631/23071
851/1372
17510/17961
21912/16031
24214/4719
19989/6733
32574/26530
29540/17102
2670/24707
14239/12040
23978/25174
5155/24183
27095/22931
4756/7040
9308/11998
26402/14338
4993/2105
10/30767
31258/10873
11871/8090
26218/3830
19466/21648
10306/391
784/19884
29289/23214
6675/32166
11072/10767
27164/12652
12454/25895
24983/21620
4890/28218
14495/20304
3103/1933
14972/13443
13285/1750
18538/12179
14885/23793
31132/27231
9805/17876
31873/23731
25309/13509
7494/14874
6161/20683
5532/29171
6592/5474
2491/30151
27780/27506
22183/14810
9755/20098
5554/9216
11533/21033
31042/23730
7055/7110
26324/13921
18856/9329
29249/7946
17042/22322
7744/20491
10595/24432
1581/12341
20717/15276
21769/7202
2786/26735
11713/2249
29244/14208
26803/13391
13531/10075
19054/22817
8304/20191
6073/5951
30363/12615
10968/2011
19536/3675
28170/12066
30847/743
24406/16474
22004/3437
391/26669
23676/19223
24182/4420
21833/239
32391/22296
11927/17746
31094/6917
12944/23970
1108/28577
9581/9276
8396/20043
3807/2730
20907/19207
12973/3097
30880/14985
31902/9229
16703/32399
25497/7507
15692/27764
2059/19768
5687/514
4489/3832
30691/23689
4023/4985
6315/9773
25192/22841
679/28036
27910/24709
555/7009
6453/28653
23953/31466
27827/31988
14905/2033
13954/3340
21197/30593
5962/8897
25290/11958
26873/2868
27452/7122
18860/8139
13513/9614
19922/20519
13040/9390
7566/2134
11411/7128
350/18250
19891/8614
8699/31114
1660/12538
32640/27688
23425/21394
25549/27635
2888/23260
21550/25837
11529/6923
17976/5632
11443/23658
7156/11500
18480/30448
11072/24196
29162/19477
21617/20250
15502/4837
27709/24376
13328/10835
31961/12433
18415/26063
8798/30518
10938/2075
1649/27405
19155/24666
16163/28032
18547/15722
5398/14194
3310/11123
29922/9079
26424/12224
4022/26692
20904/30414
28483/22372
17661/10403
213/29741
15519/22369
23491/30451
20519/15387
18186/4219
1568/13799
16949/434
17423/16181
5504/23455
32690/19807
11580/31639
5510/20097
17525/6064
26763/14730
8915/28536
12107/25747
29118/29926
4633/5488
27845/400
32407/133
28993/27679
21627/10715
12597/4608
20370/23668
3449/10589
21253/11227
23320/28492
31195/13310
6134/1606
4287/2880
21174/6362
23811/6859
18906/5282
21734/20771
1580/4471
11538/25345
29789/14561
24425/3678
16877/16849
3841/5070
330/21651
28013/23055
22844/27390
1343/28642
17280/238
3530/24601
7860/10484
11309/3058
6003/22859
17805/32675
11456/1294
18081/30006
21416/21929
1140/31127
32291/6286
6758/26604
2364/13609
26996/12068
22129/16149
7354/5587
5213/30864
22326/28733
31380/22828
28367/31920
31951/27848
22678/23064
14665/7871
10827/19661
9832/17759
21795/17839
17312/413
32200/24437
20885/18182
5538/17986
21887/8185
6485/15737
27603/532
6283/14291
11808/18156
27379/13743
12342/7425
13962/23977
22670/1265
11033/877
6118/12011
5886/4302
17452/19559
14640/1298
6813/10772
29822/32400
11566/9746
18455/638
16171/22114
12623/30468
21790/29595
23200/916
31730/23518
15343/19326
2904/16907
4113/14015
26474/23861
17294/15642
1422/11348
16549/26475
14494/8762
15504/31543
2118/19913
27145/1159
6061/21090
13580/12791
24407/17568
27615/14090
15946/16199
31056/10432
9839/17527
5182/2155
26684/16166
2138/28862
24976/14541
31791/6439
5086/5984
22624/9055
25998/30596
13361/26431
4768/30461
27465/12501
4243/869
16567/9399
27013/292
13106/16023
21147/24220
26277/7704
419/26532
18155/5600
1528/27960
18390/12526
10406/5486
26231/8750
6095/26540
20377/21067
24910/26905
20367/32709
153/23889
28464/9539
1004/32605
25119/6698
3236/18146
10832/8558
12009/3480
5319/23209
29839/10494
29603/18794
1854/19533
14684/26319
17873/18090
22857/29014
18685/29087
4453/28400
6963/25548
338/5463
10183/15322
12958/3234
9553/6065
30278/16407
32596/3051
15224/12608
797/12168
17309/321
21486/4067
22423/9320
27228/8420
25159/29702
8950/32120
5203/4733
8231/3134
29990/21915
862/23684
1336/11046
16747/20337
21903/11192
5677/24963
14470/20429
23402/10301
28621/31515
18174/22553
31665/21026
21560/26308
28573/3587
23681/7562
28641/17045
9022/12303
15539/19126
22776/11073
28275/20191
22970/20618
18228/6652
10939/12618
15735/12410
31549/7812
9273/23969
11445/16600
5169/11044
9772/27825
31315/30454
30437/1727
28568/7008
3136/3240
15873/23889
32478/5626
14042/5365
15110/24933
15932/17544
2120/16935
12245/4461
13408/455
235/21370
25949/2566
17311/11927
22274/27411
28527/27271
1900/4606
4863/32005
5877/17263
21273/31251
24409/11928
23282/24207
1559/11368
8623/26887
3610/32513
10535/29902
11417/9581
6635/2895
25916/6028
24708/8098
12672/32337
12283/10333
14172/15406
3487/2989
21285/22989
18946/4517
30895/11009
2885/20693
12213/16380
19605/18719
12154/30402
30454/8390
23985/16606
30527/14280
13466/29011
30054/1390
21615/9941
4350/29729
17406/9785
18174/12159
9367/14635
25796/6318
23848/25887
11354/21744
167/3722
3575/10872
29616/23633
6857/8061
5488/28545
5361/3980
28609/17218
16592/11042
12950/18694
23425/5498
32410/5382
23206/5284
17172/12015
22888/2007
13070/23256
22201/6152
5558/28280
10460/22203
30212/1686
18984/16154
30109/12480
25353/19780
18168/23872
13639/8167
4799/11596
19595/22545
19576/29053
6175/11075
14948/27779
20981/23496
13479/11798
22251/2884
24490/6703
21581/7056
26046/28793
28315/4549
29698/26626
17805/12183
32390/13111
31061/14053
4016/15
5412/2957
9951/18566
751/10117
27215/1869
27763/5416
12349/9408
11639/25549
9035/12312
15185/19102
1573/14562
9643/28072
23141/23728
5255/31022
28340/23822
26497/1859
6194/20919
23124/920
6937/19209
21152/402
1693/30903
15083/14495
2070/10430
3813/6859
31072/12954
31984/14734
11906/8889
16607/27880
18063/14896
7166/28848
970/5805
3667/27690
28429/5804
13604/6103
19052/19950
29370/30097
5909/7719
17252/20183
12922/18424
25534/28005
20147/2076
11314/16903
18973/5350
17856/28080
10824/4075
7163/24774
15888/16380
12372/1217
11017/10071
12955/9204
27169/18973
707/938
30592/14599
32742/25717
14771/13397
18568/23747
25610/31496
20512/16818
22590/6737
28117/4646
19287/20809
18565/6168
12749/23778
17419/13361
14062/16414
21442/1943
17279/23679
22085/28679
22438/28350
24185/2596
15368/17344
3534/11790
20014/14789
25537/6711
27693/25059
9894/16498
17286/21939
18852/26957
1867/5450
29697/8609
20867/362
3487/9831
13264/17914
29895/17101
15183/18612
16678/21642
27584/28702
14357/27246
30183/22203
22046/12605
11569/16002
4539/8893
155/22671
15200/11022
31440/13593
7868/14394
3473/28580
18749/26637
11354/27511
6610/18471
31299/13393
32244/23631
3876/22360
32743/24330
6140/18514
2621/28780
22164/10007
1181/10031
17503/31046
11714/14338
23717/11320
22214/10019
20960/29490
25505/14384
12903/21983
13549/4155
16457/765
24300/15900
124/15190
20939/7435
17719/26866
22312/17774
14236/13963
2259/32751
9370/15169
9425/28370
4370/3727
25255/24965
22840/22654
11733/1657
24381/12824
27040/28465
3371/27168
8724/6809
11792/512
20042/31128
25182/30467
2023/8680
13202/11204
23525/8998
2836/1511
6294/12837
4190/5126
15589/7816
12897/20462
27872/18064
24612/20748
3955/32050
13487/802
31094/5741
6695/13630
18923/3546
10298/5357
23424/31621
16830/27052
28508/19195
13716/9375
29975/26788
26323/6278
5130/22867
16418/28140
22986/28700
30310/10145
12783/5734
24222/19307
2842/23104
23306/761
19766/14073
9107/18712
1277/19434
28007/30506
26814/30103
13796/18131
6750/31991
13495/7157
19102/20751
14661/10975
8603/32454
30538/20161
4251/23284
1727/9315
28934/4796
6914/15639
5299/5660
13617/32237
11109/4290
21974/32549
8598/25889
29130/32746
23667/24005
11859/16957
30503/2275
10384/25391
25948/29237
19479/851
7935/12036
31964/21363
14660/28807
6229/22914
4331/4203
4571/466
27073/19379
11860/20615
10089/8130
8975/18252
860/32182
7151/21316
25647/18424
27852/22339
14869/19985
29206/9791
1188/15040
25787/513
26076/10313
9547/29216
26213/20239
16987/1840
20248/613
15911/24119
15297/28578
22395/30816
19235/21363
22995/15092
4157/6518
14529/11141
10444/6660
31375/15469
7441/27214
13861/15735
27860/29355
10286/17627
28073/16176
9079/9328
24178/16002
24727/16157
21541/25320
28885/21136
25552/22948
22598/2355
11738/19588
4918/26716
11915/25012
2761/28357
30670/28118
15586/30523
14390/3156
6980/13210
13120/4597
26104/21496
3800/3503
1262/11809
6686/19389
9447/31044
29033/3825
7057/29163
9100/29770
22260/31280
15449/13513
23566/2606
22628/14721
6330/1207
9738/13806
3287/17477
30641/15495
3749/29746
19280/406
11890/2603
27443/16456
32119/29666
3064/30208
15357/19715
3038/26609
12996/12650
14143/9964
15268/32659
13914/1398
15733/8017
2134/13342
7981/8387
12164/30734
30280/18308
29413/12255
29805/22051
22764/6834
22606/11731
16260/5500
26064/5731
13653/17057
10604/17008
30787/20421
2772/25561
15672/19934
29402/25715
9508/20366
2190/5886
834/16817
18855/29784
22684/12850
549/14577
10449/31010
26420/30335
3094/30731
22866/28147
8827/25473
4532/17835
19568/19195
16102/28649
19591/21217
21683/21892
13947/21734
4932/6365
20338/23192
2444/1301
17279/9781
5859/32125
21611/15809
12272/334
26037/11349
27341/6043
2519/28090
5734/14211
29899/14391
24866/171
30670/6310
21190/22508
27236/5325
7574/15432
9372/18412
2749/26659
28309/11667
1518/4783
2369/3766
3148/26025
13417/17667
647/31555
22001/18547
13896/30817
9822/15136
3792/5895
1685/26454
12508/13586
25317/25580
6603/15143
18248/21205
30210/28650
2278/28146
13968/2928
10459/22058
10766/7926
21562/22717
7369/9427
9554/7893
17444/19627
2608/31583
31031/22502
29797/19224
1724/6752
13833/6891
3628/29538
12287/2170
18469/21202
13691/4347
9231/7846
18626/16965
2815/3230
5425/554
18907/17459
19073/24584
26304/23755
15689/9371
26016/3118
28868/5141
16432/6461
28117/5745
5377/26338
2888/14852
20972/11075
2907/17493
23988/10043
12925/17710
1255/29194
15189/24563
11781/11595
19462/16179
6372/13607
20658/26237
11603/8393
24381/22133
7422/10001
2131/14118
23698/15245
14764/31898
14369/30629
5518/14760
1735/9237
25492/5390
16782/30369
32431/5312
399/22531
25706/13183
10586/17961
18802/29868
15768/9885
22357/27231
12527/7493
30602/25012
10022/15180
20402/10597
29578/6752
21277/9886
22160/14366
3472/11276
16059/9674
2885/18232
4288/24644
564/30739
15081/25655
8337/1745
6071/21140
9366/27643
25547/14655
8578/32448
19206/21512
5602/23949
20720/23004
14095/17629
6230/10812
5624/18513
20024/28399
289/8707
15330/1524
18412/3096
17496/18363
17176/22676
20727/32149
18055/15218
29018/7272
24644/31477
12923/6055
2244/31289
28954/24705
10348/21005
11107/25945
5716/27653
5579/9591
29771/21450
30523/11517
3099/12981
4208/3356
4622/10652

样例输出

4651831/4373763
15250/13179
8335/5386
4635695/4357807
47267/43036
93113/83710
46543/37510
1963/270
89101/66717
56804/37913
5368/2567
9140/6027
39271/24353
5857/3296
24162/12413
7009/2828
11225/4462
8167/1393
8456/5011
28871/19632
7373/4421
6728/4491
8537/5198
648667/609298
4536345/4256771
46316/41789
21395/17849
16905/12871
16451/9301
7281/2305
13757/8266
2109/112
6505/846
133/101
4485659/4208569
194774/182715
1491969/1397621
3263189/3050311
3259822/3044877
3750/1087
1085236/1013249
3589/2894
294702/275153
1619069/1510640
3235487/3018526
1616544/1504297
1614014/1499459
3224660/2991179
5375/2963
2513/265
3208523/2976064
3207953/2974630
6601/97
1600487/1483533
3198072/2963749
1065860/985699
9721/8151
9441/3865
9689/8444
3177414/2933201
58700/53021
11745/8927
15373/9757
4801/2638
8927/4567
30481/27136
22625/17639
20272/13053
13307/7747
1078/191
622419/574348
129551/119417
620079/571301
3100376/2848235
3097008/2838527
3090293/2832187
3082144/2824391
9251/8146
3503/2650
1185/793
36039/32695
32295/28813
56362/47785
5305/4023
1941/31
17261/12957
12347/5970
6491/2227
27487/22477
3187/2103
8593/5593
14635/4749
5407/1474
176476/161661
2993971/2739379
1494788/1366675
2988339/2725115
2984546/2719297
1490059/1356577
2979107/2707226
1484789/1349225
5763/4613
2961411/2689394
285/121
2950033/2677884
2945215/2672756
130207/115505
583/277
57647/51132
13565/11683
79207/61608
46786/32511
40061/26867
8139/2954
6583/4102
16546/8739
8464/197
26922/19325
3483/1994
8611/3622
26161/22696
18333/13397
1570/1093
5422/3311
1407160/1274941
2810510/2542277
40747/36777
152335/137304
675181/602715
666445/593271
237728/211203
19935/15868
10895/4986
7637/2062
703/325
214328/188627
23588/20575
210393/175796
3601/2427
7131/3881
197641/163474
192711/154541
186817/145881
93327/69341
178673/129783
175677/126824
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1549/1055
1504/911
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86438/52007
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34255/17077
31610/12711
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3965/944
6228/1127
10767/4574
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208005/183958
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31479/22207
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863/448
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11279/9434
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9159/6373
8004/379
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11943/9469
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9567/2504
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27/13
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873/184
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227/23
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8534/6165
283/161
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1576/7
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1015/489
1001/214
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263/118
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582/415
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15043/5571
5729/1100
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31855/22489
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1583/947
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1705/507
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154256/98165
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5021/537
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386/167
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12589/5712
619/261
32897/17690
29414/8483
19655/3626
9911/127
35309/19957
10453/4907
5105/563
9347/3170
8711/1805
9934/3291
26021/22955
57/47
34747/28042
4918/2805
26061/16244
19179/11422
12197/4705
787/63
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29174/25617
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42/25
1122/49
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16197/9788
15962/8651
10271/3498
6328/925
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1586299/1433306
527427/475363
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785195/706018
783266/701953
1561628/1395335
9685/4789
17442/14699
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13004/9191
2971/2056
7677/596
3981/865
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170476/151245
162521/143475
1057/422
1732/793
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178/149
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5830/1063
39176/26897
2030/573
36799/19374
6617/2663
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671/401
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1776/269
16854/14261
2909/1390
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1303435/1156926
2698/991
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2715/1052
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20332/14631
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1/0
17545/14528
14167/6419
1519/223
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8067/5147
68513/60485
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2122/1281
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2996/1769
873/166
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27513/21889
8825/5404
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551/297
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1111/218
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2888/77
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18285/14248
34805/24236
13126/7245
4430/1841
107/70
9086/4285
68711/51301
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1455/473
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3745/568
100759/69101
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7288/2599
215/24
3466/2153
13145/5228
853/8
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58882/35323
18223/5096
338/47
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1725/491
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4199/944
6610/2393
8577/3890
2992/1733
26321/19958
21769/13027
8665/1609
4283/476
7017/2641
922931/809946
460098/400289
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41993/31132
18094/12933
632/77
21462/10607
11869/3329
1612/129
8770/5997
2325/997
47615/38686
10441/7757
14755/7132
9334/2439
5/4
11116/6339
2957/1354
19781/16216
10688/3393
1929/463
7332/4061
5482/399
6217/5154
800097/694430
24305/17169
17799/7318
11435/2528
3172/37
2473/1946
8828/871
7159/5849
14197/10560
8341/3970
7821/6482
167/93
175/121
3083/1351
717314/621523
3253/819
706696/610585
21659/14227
4034/2639
9875/3679
6141/3412
340185/293497
158231/135684
19730/16467
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7507/3487
8200/2509
3886/183
454327/384415
1535/152
446753/377294
444132/372901
221171/182806
4901/3563
2006/1285
4295/1877
6563/5273
14251/9766
1871/1031
15949/9428
2039/240
394715/318927
38947/25053
11887/7294
4329/2315
24539/10301
210/17
2624/1031
9954/1075
4182/1021
5624/2659
352835/285051
5844/3469
343072/275293
170917/136871
112286/89453
330097/259872
90675/68332
88719/62351
16652/10061
36/1
1729/902
8699/6078
2501/1587
57722/37319
5216/1183
849/518
40922/20931
16725/8179
24493/11296
6797/2496
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9559/6898
206675/158539
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181429/138881
6863/4646
389/134
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21153/11845
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7279/94
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32224/5363
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3486/307
3305/62
13416/10079
22951/15147
4387/2722
2155/1382
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3371/2677
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6799/2734
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853/669
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5018/2823
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1243/353
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515/349
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2113/1008
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21731/18536
316/205
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425/83
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581973/538312
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245/99
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201718/171719
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801/83
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1303/82
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568/129
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1214/7
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23475/10564
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9416/775
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19931/11632
16391/8312
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1157/645
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1700/503
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236/33
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459/254
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104/25
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1983/461
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189/173
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260/29
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题目信息

时间限制	2000 ms
内存限制	256 MB
难度	普及
提交数	0
通过数	0
通过率	0.0%

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