P22278 [HackerEarth] Ani and his Favourite Chemistry Teacher Lissa were performing an Experiment in the Chemistry Lab. Experiment involves a N step Chemical Reaction. An N step Chemical Reaction requires N d
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题目描述

Ani and his Favourite Chemistry Teacher Lissa were performing an Experiment in the Chemistry Lab. Experiment involves a N step Chemical Reaction. An N step Chemical Reaction requires N different reactants from the periodic table .
(Do you know about Periodic Table? No , still you can try solving this problem). N elements are stacked in the bottom up manner with their reacting times. Look at the given figure.

Lissa is very good at performing experiment (offcourse as she is a chemistry teacher). So, she is doing the actual job alone. Ani is there only to provide her a helping hand. After every step, Lissa ordered Ani to put kth element from the stack (counting start from bottom) into the ongoing chemical reaction and record the expected time taken by the chemical reaction to be accomplished.

Expected Time of a Chemical reaction is defined as the maximum of reacting time of all the reactants present in the chemical reaction at that instant of time.

Considering a 6 step Chemical reaction with the same set of reactants given above.
Let the order of elements given by Lissa to Ani follows this list.

Note that the list contains N-1 elements only.

2 2 1 2 2

Step 1: Ani puts the second element from the bottom i.e titanium into the chemical reaction and records the expected time as 799 .

New stack configuration ::

Step 2: Ani puts the second element from the bottom i.e barium into the chemical reaction and records the expected time as 799.

New stack configuration ::

Step 3: Ani puts the first element from the bottom i.e zinc into the chemical reaction and records the expected time as 999.

New stack configuration ::

Step 4: Ani puts the second element from the bottom i.e potassium into the chemical reaction and records the expected time as 999.

New stack configuration ::

Step 5: Ani puts the second element from the bottom i.e sodium into the chemical reaction and records the expected time as 999.

New stack configuration ::

As there is only one element left on the stack in the end. Ani puts that element into the reaction without asking his teacher (He is over-smart actually ). While doing this, he dropped some chemical on the record taken by him. This made Miss Lissa very angry and she decided to punish him. Ani does not want to be punished by his favourite teacher. So, can you save him from being punished ?. Can you generate same record for him.

Input:

First line of input contains a single integer T denoting the number of Experiments to be performed. Next 4*T lines contains description of each experiment. Each experiment's description consists of 4 lines.

First line of description contains a single integer N denoting the order of reaction (number of reactants) . Next line of description contains N space separated strings i.e names of reactants. Next line of description contains N integers denoting the reacting time of each element.
Next line of description contains N-1 integers denoting the ordered list of elements given by Lissa to Ani.

Output:

For each Experiment, Output consists of N lines where ith line contains one string (name of Element added in the ith step) and expected time of the Chemical Reaction after ith step.

Constraints:

1 ≤ T ≤10

1 ≤ N ≤ 5*10^5

*Element names composed of only lower case letters *

1 ≤|Reactant's name| ≤ 10

0 ≤ Reacting time ≤ 10^9

sum of all N over all the test cases is 5*10^9

NOTE:

Prefer to use Printf / Scanf instead of cin / cout (very large input set).

SAMPLE INPUT
1
6
zinc titanium barium lithium potassium sodium
999 799 600 140 7 100
2 2 1 2 2

SAMPLE OUTPUT
titanium 799
barium 799
zinc 999
potassium 999
sodium 999
lithium 999

输入格式

见题面

输出格式

见题面

样例输入
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304 408 150 44 82 291 268 265 19 76 90 67 217 62 255 3 175 253 198 12 143 434 103 32 303 69 212 53 354 169 330 253 434 417 430 156 66 87 364 348 369 206 366 191 303 240 160 277 122 223 78 17 269 226 245 83 303 38 379 143 242 113 283 352 166 195 311 250 261 341 335 363 155 97 75 128 57 304 171 225 57 369 4 55 325 177 258 95 16 183 340 123 99 345 108 35 59 127 241 157 307 87 91 222 321 334 43 140 147 261 180 25 93 69 17 83 81 234 57 45 60 192 335 277 256 161 328 1 201 138 269 55 57 111 334 301 242 164 215 92 102 9 219 310 70 157 4 128 96 193 151 241 2 124 179 56 59 115 154 113 71 132 133 200 60 2 290 254 226 58 41 112 101 170 226 190 158 57 218 11 207 37 233 188 53 91 31 85 61 227 33 61 57 189 239 18 19 238 170 53 70 144 109 3 70 170 138 209 194 164 91 69 111 56 234 128 239 47 176 105 213 75 123 242 226 195 204 5 132 157 131 151 140 229 8 127 135 108 153 108 158 191 226 74 192 226 176 215 85 3 216 67 189 35 5 61 119 155 84 32 163 170 160 162 50 32 56 32 111 59 189 23 28 87 172 114 152 53 10 106 57 127 37 104 8 26 106 129 45 176 143 50 157 88 16 18 69 117 97 107 163 117 160 69 31 106 1 96 43 63 43 132 72 144 128 155 85 56 135 77 122 115 39 53 100 34 108 33 15 41 83 97 84 63 50 44 89 127 56 88 51 125 48 81 101 38 88 32 60 15 15 57 68 36 30 85 109 37 53 50 34 59 5 80 49 91 48 29 20 19 44 84 41 40 7 92 87 17 92 15 51 5 82 82 6 2 23 62 28 6 15 58 5 68 16 10 61 13 66 37 69 70 9 1 35 10 14 55 33 36 8 50 58 29 11 15 33 36 40 34 2 9 23 19 5 31 8 22 18 19 35 37 21 3 34 2 7 16 13 8 10 2 25 21 5 19 14 19 6 21 15 10 10 5 13 14 8 4 6 9 3 3 3 2 2 1 5 1 1 1
样例输出
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