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Add Game of 24 dataset from Tree of Thoughts paper

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  1. README.md +112 -0
  2. game24.csv +1363 -0
README.md ADDED
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+ # Game of 24 Dataset
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+
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+ ## Dataset Description
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+
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+ The Game of 24 is a mathematical reasoning puzzle where players must use four numbers and basic arithmetic operations (+, -, *, /) to obtain the result 24. Each number must be used exactly once.
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+
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+ This dataset contains 1,361 unique Game of 24 puzzles ranked by difficulty based on human performance from Amazon Mechanical Turk studies.
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+
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+ ### Example
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+
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+ **Input:** `4 5 6 10`
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+
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+ **Output:** `(5 * (10 - 4)) - 6 = 24`
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+
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+ **Step-by-step solution:**
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+ ```
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+ 10 - 4 = 6 (left: 5 6 6)
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+ 5 * 6 = 30 (left: 6 30)
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+ 30 - 6 = 24 (left: 24)
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+ Answer: (5 * (10 - 4)) - 6 = 24
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+ ```
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+
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+ ## Dataset Structure
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+
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+ ### Data Fields
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+
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+ - `Rank`: Difficulty ranking (1 = easiest, 1361 = hardest)
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+ - `Puzzles`: Four numbers separated by spaces (e.g., "4 5 6 10")
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+ - `AMT (s)`: Average time for humans to solve (seconds)
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+ - `Solved rate`: Percentage of humans who successfully solved the puzzle
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+ - `1-sigma Mean (s)`: Mean solving time within 1 standard deviation
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+ - `1-sigma STD (s)`: Standard deviation of solving time
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+
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+ ### Data Splits
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+
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+ The original Tree of Thoughts paper uses indices 900-1000 (100 puzzles) for evaluation.
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+
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+ - **Easy puzzles** (rank 1-300): 95-99% human solve rate, ~4-6 seconds
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+ - **Medium puzzles** (rank 300-900): 85-95% human solve rate, ~6-10 seconds
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+ - **Hard puzzles** (rank 900-1100): 80-90% human solve rate, ~10-15 seconds
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+ - **Very hard puzzles** (rank 1100-1361): 20-80% human solve rate, 15-200+ seconds
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+
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+ ## Source Data
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+
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+ This dataset is from the official Tree of Thoughts (ToT) repository:
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+ - Paper: [Tree of Thoughts: Deliberate Problem Solving with Large Language Models](https://arxiv.org/abs/2305.10601)
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+ - Repository: https://github.com/princeton-nlp/tree-of-thought-llm
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+ - Authors: Shunyu Yao, Dian Yu, Jeffrey Zhao, Izhak Shafran, Thomas L. Griffiths, Yuan Cao, Karthik Narasimhan
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+
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+ ### Human Performance Collection
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+
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+ Puzzles were ranked based on human performance data collected via Amazon Mechanical Turk, measuring:
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+ - Success rate (percentage of correct solutions)
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+ - Solving time (average time to solution)
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+
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+ ## Usage
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+
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+ ### Loading the Dataset
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+
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+ ```python
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+ from datasets import load_dataset
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+
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+ dataset = load_dataset("test-time-compute/game-of-24")
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+ ```
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+
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+ ### Paper Evaluation Subset
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+
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+ To replicate the Tree of Thoughts paper evaluation:
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+
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+ ```python
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+ # Load indices 900-1000 (100 hard puzzles)
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+ eval_subset = dataset['train'].select(range(900, 1000))
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+ ```
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+
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+ ### Task Format
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+
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+ Each puzzle requires:
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+ 1. **Input**: Four numbers (e.g., "4 5 6 10")
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+ 2. **Output**: A valid mathematical expression using each number exactly once that equals 24
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+ 3. **Verification**: Check that all four numbers are used and the expression evaluates to 24
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+
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+ ## Benchmark Results
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+
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+ From the Tree of Thoughts paper (indices 900-1000):
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+
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+ | Method | Success Rate | Model |
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+ |--------|-------------|-------|
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+ | IO (100 samples) | 7.3% | GPT-4 |
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+ | CoT (100 samples) | 4.0% | GPT-4 |
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+ | ToT (b=5) | 74.0% | GPT-4 |
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+
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+ Where:
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+ - **IO**: Input-output prompting with 100 samples
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+ - **CoT**: Chain-of-thought prompting with 100 samples
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+ - **ToT**: Tree of Thoughts with beam width 5
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+
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+ ## Citation
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+
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+ If you use this dataset, please cite the original Tree of Thoughts paper:
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+
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+ ```bibtex
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+ @article{yao2023tree,
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+ title={Tree of Thoughts: Deliberate Problem Solving with Large Language Models},
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+ author={Yao, Shunyu and Yu, Dian and Zhao, Jeffrey and Shafran, Izhak and Griffiths, Thomas L and Cao, Yuan and Narasimhan, Karthik},
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+ journal={arXiv preprint arXiv:2305.10601},
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+ year={2023}
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+ }
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+ ```
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+
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+ ## License
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+
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+ MIT License (same as original Tree of Thoughts repository)
game24.csv ADDED
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913
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999
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1003
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1004
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1005
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1007
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1008
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1009
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1010
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1016
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1017
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1018
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1019
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1020
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1021
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1022
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1023
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1024
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1025
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1027
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1030
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1031
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1033
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1034
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1035
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1036
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1037
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1038
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1039
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1040
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1042
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1043
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1045
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1046
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1047
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1048
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1049
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1050
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1051
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1052
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1053
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1056
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1058
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1059
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1060
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1061
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1062
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1063
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1065
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1066
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1067
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1069
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1070
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1071
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1073
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1074
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1075
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1076
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1077
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1078
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1079
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1080
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1081
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1082
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1083
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1084
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1085
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1086
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1087
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1088
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1089
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1090
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1091
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1092
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1093
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1094
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1095
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1096
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1097
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1098
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1099
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1100
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1101
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1102
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1103
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1104
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1105
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1106
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1107
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1108
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1109
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1110
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1111
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1112
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1113
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1114
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1115
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1116
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1117
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1118
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1119
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1120
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1121
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1122
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1123
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1124
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1125
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1126
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1127
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1128
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1129
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1130
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1131
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1132
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1133
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1134
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1135
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1136
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1137
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1138
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1139
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1140
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1141
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1142
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1143
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1144
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1145
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1146
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1147
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1148
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1149
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1150
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1151
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1152
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1153
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1154
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1155
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1156
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1157
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1158
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1159
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1160
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1161
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1162
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1163
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1164
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1165
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1166
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1167
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1168
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1169
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1170
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1171
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1172
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1173
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1174
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1175
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1176
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1177
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1178
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1179
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1180
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1181
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1182
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1183
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1184
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1185
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1186
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1187
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1188
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1189
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1190
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1191
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1192
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1193
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1194
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1195
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1196
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1197
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1198
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1199
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1200
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1201
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1202
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1203
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1204
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1205
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1206
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1207
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1208
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1209
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1210
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1211
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1212
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1213
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1214
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1215
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1216
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1217
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1218
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1219
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1220
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1221
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1222
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1223
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1224
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1225
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1226
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1227
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1228
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1229
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1230
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1232
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1233
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1234
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1235
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1236
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1237
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1238
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1239
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1240
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1241
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1242
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1243
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1244
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1246
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1247
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1248
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1249
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1251
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1252
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1253
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1254
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1255
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1256
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1257
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1258
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1259
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1260
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1261
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1262
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1263
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1264
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1265
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1266
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1267
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1268
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1269
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1270
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1271
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1272
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1273
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1274
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1275
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1276
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1277
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1278
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1279
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1280
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1281
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1282
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1283
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1284
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1285
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1286
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1287
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1288
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1289
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1290
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1291
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1292
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1293
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1294
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1295
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1296
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1297
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1298
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1299
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1300
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1301
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1302
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1303
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1304
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1305
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1306
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1307
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1308
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1309
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1310
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1311
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1312
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1313
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1314
+ 1313,2 2 11 11,57.22,40.10%,13.2,8.62
1315
+ 1314,5 7 9 12,57.59,39.60%,17.8,11.41
1316
+ 1315,4 5 6 12,58.44,44.10%,21.82,16.05
1317
+ 1316,4 6 7 9,58.49,42%,19.47,12.15
1318
+ 1317,6 12 12 13,60.5,37.90%,15.11,8.3
1319
+ 1318,4 4 10 10,60.61,39.70%,13.47,9.13
1320
+ 1319,4 7 11 13,61.01,37%,30.84,16.48
1321
+ 1320,4 5 6 11,61.48,38%,19.42,10.88
1322
+ 1321,3 5 8 12,62.47,38%,27.97,13.34
1323
+ 1322,3 4 6 13,63.1,40.40%,20.37,11.69
1324
+ 1323,6 7 8 12,63.27,40.70%,16.9,12.18
1325
+ 1324,2 4 11 12,63.58,39.40%,23.37,13.12
1326
+ 1325,5 7 10 11,64.03,35.50%,23.76,13.12
1327
+ 1326,2 2 13 13,64.44,37.30%,14.05,8.25
1328
+ 1327,6 11 12 12,64.75,36.30%,15.4,8.93
1329
+ 1328,5 8 9 13,64.8,34.90%,34.56,16.2
1330
+ 1329,7 10 12 13,67.86,37.40%,22.3,12.55
1331
+ 1330,5 6 8 13,68.54,36.40%,22.65,11.42
1332
+ 1331,2 7 8 9,69.74,39.80%,18.28,10.87
1333
+ 1332,2 2 6 13,71.49,33.10%,30.83,16.35
1334
+ 1333,5 6 9 11,72.21,33.40%,26.15,15
1335
+ 1334,1 4 7 11,72.93,35.70%,29.78,16.43
1336
+ 1335,6 9 9 10,80.98,31.60%,32.75,18.6
1337
+ 1336,2 5 7 8,83.96,32.90%,28.52,15.64
1338
+ 1337,7 8 8 13,84.91,29.50%,27.08,15.03
1339
+ 1338,5 7 7 11,88.29,27.40%,25.62,12.84
1340
+ 1339,3 3 7 13,88.82,27.60%,32.8,18.62
1341
+ 1340,4 8 8 13,88.89,29.10%,24.53,14.05
1342
+ 1341,4 8 8 11,88.95,30%,23.19,13.84
1343
+ 1342,3 8 8 10,90.4,28.90%,25.35,16.08
1344
+ 1343,2 7 7 10,90.8,27%,26.85,12.93
1345
+ 1344,5 5 7 11,91.1,26.10%,25.79,13.15
1346
+ 1345,2 3 8 13,92.19,32%,23.64,12.74
1347
+ 1346,7 8 10 11,95.22,29.80%,24.05,14.09
1348
+ 1347,2 2 10 11,96.37,30.20%,26.2,17.05
1349
+ 1348,9 11 12 13,99.38,27.90%,22.06,13.19
1350
+ 1349,1 6 6 8,101.21,29.80%,21.64,13.19
1351
+ 1350,3 3 8 8,104.24,30.80%,15.65,10.6
1352
+ 1351,1 8 12 12,104.58,29%,20.38,13.12
1353
+ 1352,3 3 5 7,104.76,29.20%,28.32,17.86
1354
+ 1353,2 4 7 12,108.41,28.10%,28.97,16.35
1355
+ 1354,2 9 13 13,110.09,24.90%,30.9,19.5
1356
+ 1355,3 7 9 13,110.86,26%,39.84,21.67
1357
+ 1356,2 4 10 10,111.72,25.80%,28.72,18.53
1358
+ 1357,3 6 6 11,112.28,27.10%,24.73,15.29
1359
+ 1358,3 5 7 13,122.99,23.60%,38.68,21.2
1360
+ 1359,2 5 5 10,188.2,22.10%,24.09,16.42
1361
+ 1360,1 4 5 6,195.91,28.70%,18.38,11.81
1362
+ 1361,1 3 4 6,201.57,26.90%,19.77,12.1
1363
+ 1362,2 3 5 12,207.89,20.70%,29.96,22.37