from otree.api import *
import random
import numpy as np
import math

doc = """
Your app description
"""

# FUNCTIONS -----------------------

def create_lottery_order(start=1, end=30):
    numbers = list(range(start, end + 1))
    random.shuffle(numbers)
    return numbers

def create_algo_order():
    algos = ['eu', 'steering']
    random.shuffle(algos)
    return algos

def create_color_order():
    colors = ['red', 'green']
    random.shuffle(colors)
    return colors


def min_max_scale_dict(d):
    values = d.values()
    min_val = min(values)
    max_val = max(values)

    # Ensure max_val and min_val are not the same to avoid division by zero
    if max_val == min_val:
        return {key: 0 for key in d}  # or return d, depending on desired behavior

    normalized_d = {key: (float(v) - min_val) / (max_val - min_val) for key, v in d.items()}
    return normalized_d

def exp_pi(outcomes, probas):
    lo = len(outcomes)
    pi = 0
    pkeys = list(probas)
    for i in range(lo):
        pi = pi + probas[pkeys[i]]*outcomes[i]
    return pi

def crra(x, r):
    u = (x ** (1-r))/(1-r)
    return u

def crra_eu(outcomes, probas, r):
    lo = len(outcomes)
    eu = 0
    pkeys = list(probas)
    for i in range(lo):
        eu = eu + probas[pkeys[i]]*crra(outcomes[i], r)
    return eu

def multiply_values_and_convert_to_int(input_dict):
    """
    Multiplies each numerical value in the dictionary by 100 and converts the format into int.

    Parameters:
    input_dict (dict): A dictionary where each value is another dictionary with numerical values.

    Returns:
    dict: A modified dictionary with each numerical value multiplied by 100 and converted to int.
    """
    # Iterate through the outer dictionary
    for key in input_dict:
        # Iterate through the inner dictionary
        for sub_key in input_dict[key]:
            # Multiply each value by 100 and convert to int
            input_dict[key][sub_key] = int(input_dict[key][sub_key] * 100)
    return input_dict


class C(BaseConstants):
    NAME_IN_URL = 'algorithms'
    PLAYERS_PER_GROUP = None
    NUM_ROUNDS = 30
    LOTTERIES = {"1": {"65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "9": {"p1": 0.18, "p2": 0.1, "p3": 0.72}, "46": {"p1": 0.12, "p2": 0.8, "p3": 0.08}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}}, "2": {"68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "7": {"p1": 0.14, "p2": 0.3, "p3": 0.56}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "5": {"p1": 0.1, "p2": 0.5, "p3": 0.4}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}}, "3": {"60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "9": {"p1": 0.18, "p2": 0.1, "p3": 0.72}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}}, "4": {"60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "9": {"p1": 0.18, "p2": 0.1, "p3": 0.72}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "57": {"p1": 0.14, "p2": 0.8, "p3": 0.06}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "41": {"p1": 0.4, "p2": 0.2, "p3": 0.4}, "69": {"p1": 0.24, "p2": 0.7, "p3": 0.06}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}, "75": {"p1": 0.72, "p2": 0.1, "p3": 0.18}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}}, "5": {"72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "18": {"p1": 0.21, "p2": 0.3, "p3": 0.49}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, "46": {"p1": 0.12, "p2": 0.8, "p3": 0.08}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}}, "6": {"72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "4": {"p1": 0.08, "p2": 0.6, "p3": 0.32}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "42": {"p1": 0.45, "p2": 0.1, "p3": 0.45}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}}, "7": {"68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "75": {"p1": 0.72, "p2": 0.1, "p3": 0.18}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "7": {"p1": 0.14, "p2": 0.3, "p3": 0.56}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "8": {"p1": 0.16, "p2": 0.2, "p3": 0.64}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "42": {"p1": 0.45, "p2": 0.1, "p3": 0.45}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}}, "8": {"27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}, "15": {"p1": 0.12, "p2": 0.6, "p3": 0.28}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "7": {"p1": 0.14, "p2": 0.3, "p3": 0.56}}, "9": {"30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "4": {"p1": 0.08, "p2": 0.6, "p3": 0.32}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "15": {"p1": 0.12, "p2": 0.6, "p3": 0.28}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "69": {"p1": 0.24, "p2": 0.7, "p3": 0.06}, "57": {"p1": 0.14, "p2": 0.8, "p3": 0.06}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}}, "10": {"73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "24": {"p1": 0.08, "p2": 0.8, "p3": 0.12}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "23": {"p1": 0.04, "p2": 0.9, "p3": 0.06}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "34": {"p1": 0.05, "p2": 0.9, "p3": 0.05}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}}, "11": {"56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "13": {"p1": 0.06, "p2": 0.8, "p3": 0.14}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "34": {"p1": 0.05, "p2": 0.9, "p3": 0.05}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "2": {"p1": 0.04, "p2": 0.8, "p3": 0.16}, 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0.4, "p3": 0.24}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "57": {"p1": 0.14, "p2": 0.8, "p3": 0.06}, "18": {"p1": 0.21, "p2": 0.3, "p3": 0.49}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}}, "26": {"26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "24": {"p1": 0.08, "p2": 0.8, "p3": 0.12}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "34": {"p1": 0.05, "p2": 0.9, "p3": 0.05}, "23": {"p1": 0.04, "p2": 0.9, "p3": 0.06}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "12": {"p1": 0.03, "p2": 0.9, "p3": 0.07}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}, "41": {"p1": 0.4, "p2": 0.2, "p3": 0.4}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}}, "27": {"75": {"p1": 0.72, "p2": 0.1, "p3": 0.18}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "0": {"p1": 0.0, "p2": 1.0, "p3": 0.0}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "13": {"p1": 0.06, "p2": 0.8, "p3": 0.14}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "1": {"p1": 0.02, "p2": 0.9, "p3": 0.08}, "15": {"p1": 0.12, "p2": 0.6, "p3": 0.28}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}}, "28": {"30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "15": {"p1": 0.12, "p2": 0.6, "p3": 0.28}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}}, "29": {"35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "18": {"p1": 0.21, "p2": 0.3, "p3": 0.49}, "75": {"p1": 0.72, "p2": 0.1, "p3": 0.18}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "46": {"p1": 0.12, "p2": 0.8, "p3": 0.08}, "8": {"p1": 0.16, "p2": 0.2, "p3": 0.64}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "57": {"p1": 0.14, "p2": 0.8, "p3": 0.06}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "41": {"p1": 0.4, "p2": 0.2, "p3": 0.4}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}}, "30": {"10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}, "46": {"p1": 0.12, "p2": 0.8, "p3": 0.08}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}}}
    V1 = 0
    V2 = 5
    V3 = 10
    NEUTRAL_DESCR = "This algorithm uses information from the box task to pick and order lotteries from the set of 50 lotteries."

    # endowment for algo choice
    ENDOWMENT = 3
    PRIZES = [V1, V2, V3]


class Subsession(BaseSubsession):
    pass
#    def creating_session(self):
#        for p in self.get_players():
#            p.participant.vars['choices'] = {}  # Initialize 'choices'
#            p.participant.vars['lotteries'] = {}

class Group(BaseGroup):
    pass

class Player(BasePlayer):
    choice = models.IntegerField(
        choices=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
    )
    timing_group = models.StringField(initial='ex-ante')
    algo_group = models.StringField(initial='steering')
    algo_wtp = models.FloatField(initial=0)
    # r = models.FloatField(initial=0.5)

    def algo(self):
        participant = self.participant
        if participant.algo_order[0] == 'steering':
            if self.round_number < 11:
                a = 'steering'
            elif 10 < self.round_number < 21:
                a = 'eu'
            else:
                a = participant.third_round_algo
        else:
            if self.round_number < 11:
                a = 'eu'
            elif 10 < self.round_number < 21:
                a = 'steering'
            else:
                a = participant.third_round_algo
        return a

    def part(self):
        if self.round_number<21:
            p = 2
        else:
            p = 3
        return p

    def get_top_10_lotteries_steering(self):
        # top 10 steering selection algo with kappa1=1, kappa2=0.5
        participant = self.participant
        r_value = participant.r
        clot_all = C.LOTTERIES
        order_num = participant.lottery_order[self.round_number-1]
        clot = clot_all[str(order_num)]

        d = {key: crra_eu(C.PRIZES, probas, r_value) for key, probas in clot.items()}
        dn = min_max_scale_dict(d)
        epi = {key: exp_pi(C.PRIZES, probas) for key, probas in clot.items()}
        epin = min_max_scale_dict(epi)
        I = {key: dn[key] - 0.7 * epin[key] for key in dn}
        sorted_pairs = sorted(I, key=I.get, reverse=True)[:10]
        sorted_dict = {}
        for i, j in enumerate(sorted_pairs):
            sorted_dict[i] = clot[j]
        return sorted_dict

    def get_top_10_lotteries_exp_u(self):
        participant = self.participant
        r_value = participant.r
        clot_all = C.LOTTERIES
        order_num = participant.lottery_order[self.round_number-1]
        clot = clot_all[str(order_num)]

        eu_results = {key: crra_eu(C.PRIZES, probas, r_value) for key, probas in clot.items()}
        sorted_pairs = sorted(eu_results, key=eu_results.get, reverse=True)[:10]
        sorted_dict = {}
        for i, j in enumerate(sorted_pairs):
            sorted_dict[i] = clot[j]
        return sorted_dict


# PAGES

class Instructions(Page):
    @staticmethod
    def is_displayed(player: Player):
        return player.round_number == 1

    @staticmethod
    def vars_for_template(player: Player):
        pass

    def before_next_page(player: Player, timeout_happened):
        participant = player.participant
        participant.lottery_order = create_lottery_order()
        participant.algo_order = create_algo_order()
        co = create_color_order()
        participant.eu_col = co[0]
        participant.steering_col = co[1]
        participant.vars['choices'] = {}  # Initialize 'choices'
        participant.vars['lotteries'] = {}


class ListChoice(Page):
    form_model = "player"
    form_fields = ["choice"]

    @staticmethod
    def vars_for_template(player: Player):
        participant = player.participant
        if player.algo() == "eu":
            l = player.get_top_10_lotteries_exp_u()
            if participant.algo_order[0]=="eu":
                algo_label = "Algorithm 1"
            else:
                algo_label = "Algorithm 2"
            col = participant.eu_col
        else:
            l = player.get_top_10_lotteries_steering()
            if participant.algo_order[0]=="steering":
                algo_label = "Algorithm 1"
            else:
                algo_label = "Algorithm 2"
            col = participant.steering_col
        l = multiply_values_and_convert_to_int(l)
        participant.lotteries[player.round_number] = l
        return {
            "l": l,
            "algo_label" : algo_label,
            "color" : col
        }

    @staticmethod
    def before_next_page(player: Player, timeout_happened):
        participant = player.participant
        participant.choices[player.round_number] = player.choice


class AlgoChoice(Page):
    form_model = "player"
    form_fields = ["algo_wtp"]

    @staticmethod
    def is_displayed(player: Player):
        return player.round_number == 20

    def vars_for_template(player: Player):
        participant = player.participant
        if participant.algo_order[0]=="eu":
            col1 = participant.eu_col
            col2 = participant.steering_col
        else:
            col1 = participant.steering_col
            col2 = participant.eu_col
        return {
            "col1" : col1,
            "col2" : col2
        }

    @staticmethod
    def before_next_page(player: Player, timeout_happened):
        participant = player.participant
        participant.payoff3 = cu(C.ENDOWMENT - C.ENDOWMENT*(player.algo_wtp))
        participant.algo_wtp = player.algo_wtp
        participant.third_round_algo = random.choices(["steering", "eu"], weights = [player.algo_wtp, 1-player.algo_wtp], k=1)[0]

class AlgoResults(Page):
    @staticmethod
    def is_displayed(player: Player):
        return player.round_number == 20

    def vars_for_template(player: Player):
        participant = player.participant
        if (participant.third_round_algo=="eu" and participant.algo_order[0]=="eu"):
            third_round_algo_label = "Algorithm 1"
            third_round_col = participant.eu_col
        elif (participant.third_round_algo=="steering" and participant.algo_order[0]=="steering"):
            third_round_algo_label = "Algorithm 1"
            third_round_col = participant.steering_col
        elif (participant.third_round_algo=="eu" and participant.algo_order[1]=="eu"):
            third_round_algo_label = "Algorithm 2"
            third_round_col = participant.eu_col
        else:
            third_round_algo_label = "Algorithm 2"
            third_round_col = participant.steering_col


        algo1_proba = str(int((1-participant.algo_wtp)*100))
        algo2_proba = str(int(participant.algo_wtp*100))


        return {
            "algo1_proba" : algo1_proba,
            "algo2_proba" : algo2_proba,
            "third_round_algo_label" : third_round_algo_label,
            "third_round_col" : third_round_col
        }


class Buffer(Page):
    @staticmethod
    def is_displayed(player: Player):
        return player.round_number==10

    def vars_for_template(player: Player):
        participant = player.participant
        if participant.algo_order[0]=="eu":
            col1 = participant.eu_col
            col2 = participant.steering_col
        else:
            col1 = participant.steering_col
            col2 = participant.eu_col
        return {
            "col1" : col1,
            "col2" : col2
        }


class Results(Page):
    @staticmethod
    def is_displayed(player: Player):
        return player.round_number == C.NUM_ROUNDS

    def before_next_page(player: Player, timeout_happened):
        participant = player.participant
        # for payoff 2
        round_number2 = random.randint(1, 20)
        lotteries_round2 = participant.lotteries[round_number2]
        choice_round2 = participant.choices[round_number2]
        chosen_lottery2 = lotteries_round2[choice_round2]
        outcome2 = random.choices(C.PRIZES, weights=list(chosen_lottery2.values()), k=1)[0]
        participant.outcome2 = outcome2
        participant.payoff2 = cu(outcome2)
        participant.selected_round2 = round_number2
        participant.selected_lottery2 = chosen_lottery2
        # for payoff 3
        round_number3 = random.randint(21, 30)
        lotteries_round3 = participant.lotteries[round_number3]
        choice_round3 = participant.choices[round_number3]
        chosen_lottery3 = lotteries_round3[choice_round3]
        outcome3 = random.choices(C.PRIZES, weights=list(chosen_lottery3.values()), k=1)[0]
        participant.outcome3 = outcome3
        participant.payoff3 = cu(participant.payoff3 + outcome3) # add to payoff from algo selection
        participant.selected_round3 = round_number3
        participant.selected_lottery3 = chosen_lottery3



page_sequence = [Instructions, ListChoice, Buffer, AlgoChoice, AlgoResults,  Results]