diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml new file mode 100644 index 0000000..a420697 --- /dev/null +++ b/.pre-commit-config.yaml @@ -0,0 +1,27 @@ +repos: +- repo: local + hooks: + - id: mypy + name: Run mypy + entry: mypy + language: system + files: ^src/ + types: [python] + +- repo: local + hooks: + - id: black + name: Run black + entry: black + args: ["--config", "pyproject.toml"] + language: system + types: [python] + +- repo: local + hooks: + - id: isort + name: Run isort + entry: isort + args: ["--profile", "black", "--filter-files"] + language: system + types: [python] diff --git a/requirements.txt b/requirements.txt index e69de29..ddf94a2 100644 --- a/requirements.txt +++ b/requirements.txt @@ -0,0 +1 @@ +numpy==1.24.4 \ No newline at end of file diff --git a/src/cluster_import.py b/src/cluster_import.py index f68a888..425bf6c 100644 --- a/src/cluster_import.py +++ b/src/cluster_import.py @@ -1,27 +1,24 @@ -import csv +import numpy as np from pathlib import Path from ts_generator import ThermalCluster, ProbilityLaw -def from_csv(path: Path, days_per_year: int = 365): +def import_thermal_cluster(path: Path, days_per_year: int = 365): law_dict = {"UNIFORM":ProbilityLaw.UNIFORM, "GEOMETRIC":ProbilityLaw.GEOMETRIC} - with open(path, "r") as csvfile: - reader = list(csv.reader(csvfile, delimiter=',', quotechar='"')) - cluster = ThermalCluster( - unit_count = int(reader[1][1]), - nominal_power = float(reader[2][1]), - modulation = [float(i) for i in reader[3][1:24 + 1]], - - fo_law = law_dict[reader[4][1]], - fo_volatility = float(reader[5][1]), - po_law = law_dict[reader[6][1]], - po_volatility = float(reader[7][1]), + array = np.genfromtxt(path, delimiter=',', dtype=str) + return ThermalCluster( + unit_count = int(array[1][1]), + nominal_power = float(array[2][1]), + modulation = [float(i) for i in array[3][1:24 + 1]], + fo_law = law_dict[array[4][1]], + fo_volatility = float(array[5][1]), + po_law = law_dict[array[6][1]], + po_volatility = float(array[7][1]), - fo_duration = [float(i) for i in reader[8][1:days_per_year + 1]], - fo_rate = [float(i) for i in reader[9][1:days_per_year + 1]], - po_duration = [float(i) for i in reader[10][1:days_per_year + 1]], - po_rate = [float(i) for i in reader[11][1:days_per_year + 1]], - npo_min = [float(i) for i in reader[12][1:days_per_year + 1]], - npo_max = [float(i) for i in reader[13][1:days_per_year + 1]], - ) - return cluster + fo_duration = array[8][1:days_per_year + 1].astype(float), + fo_rate = array[9][1:days_per_year + 1].astype(float), + po_duration = array[10][1:days_per_year + 1].astype(float), + po_rate = array[11][1:days_per_year + 1].astype(float), + npo_min = array[12][1:days_per_year + 1].astype(float), + npo_max = array[13][1:days_per_year + 1].astype(float), + ) \ No newline at end of file diff --git a/src/ts_generator.py b/src/ts_generator.py index 23849f4..cc4d725 100644 --- a/src/ts_generator.py +++ b/src/ts_generator.py @@ -1,3 +1,4 @@ +import numpy as np from dataclasses import dataclass from enum import Enum from math import sqrt, log @@ -56,20 +57,20 @@ def __init__(self, days_per_year: int = 365) -> None: self.LOGP = [0] * self.log_size #pogramed and forced outage rate - self.lf = [0] * days_per_year - self.lp = [0] * days_per_year + self.lf = np.empty(days_per_year, dtype=float) + self.lp = np.empty(days_per_year, dtype=float) ## ??? - self.ff = [0] * days_per_year #ff = lf / (1 - lf) - self.pp = [0] * days_per_year #pp = lp / (1 - lp) + self.ff = np.empty(days_per_year, dtype=float) #ff = lf / (1 - lf) + self.pp = np.empty(days_per_year, dtype=float) #pp = lp / (1 - lp) #precalculated value to speed up generation of random outage duration - self.af = [0] * days_per_year - self.bf = [0] * days_per_year - self.ap = [0] * days_per_year - self.bp = [0] * days_per_year + self.af = np.empty(days_per_year, dtype=float) + self.bf = np.empty(days_per_year, dtype=float) + self.ap = np.empty(days_per_year, dtype=float) + self.bp = np.empty(days_per_year, dtype=float) - def prepare_indispo_form_law(self, law: ProbilityLaw, volatility: float, A: List[float], B: List[float], expecs: List[int]) -> None: + def prepare_outage_duration_constant(self, law: ProbilityLaw, volatility: float, A: List[float], B: List[float], expecs: List[int]) -> None: """ precalculation of constant values use in generation of outage duration results are stored in A and B @@ -126,11 +127,16 @@ def generate_time_series(self, cluster: ThermalCluster, number_of_timeseries: in POD = cluster.po_duration[day] self.lp[day] = POR / (POR + POD * (1 - POR)) + if self.lf[day] < 0: + raise ValueError(f"forced failure rate is negative on day {day}") + if self.lp[day] < 0: + raise ValueError(f"programed failure rate is negative on day {day}") + ## i dont understand what these calulations are for ## consequently reduce the lower failure rate - if (0 < self.lf[day] and self.lf[day] < self.lp[day]): + if (self.lf[day] < self.lp[day]): self.lf[day] *= (1 - self.lp[day]) / (1 - self.lf[day]) - if (0 < self.lp[day] and self.lp[day] < self.lf[day]): + if (self.lp[day] < self.lf[day]): self.lp[day] *= (1 - self.lf[day]) / (1 - self.lp[day]) a = 0 @@ -150,8 +156,8 @@ def generate_time_series(self, cluster: ThermalCluster, number_of_timeseries: in self.PPOW[-1].append(pow(b, k)) - self.prepare_indispo_form_law(cluster.fo_law, cluster.fo_volatility, self.af, self.bf, cluster.fo_duration) - self.prepare_indispo_form_law(cluster.po_law, cluster.po_volatility, self.ap, self.bp, cluster.po_duration) + self.prepare_outage_duration_constant(cluster.fo_law, cluster.fo_volatility, self.af, self.bf, cluster.fo_duration) + self.prepare_outage_duration_constant(cluster.po_law, cluster.po_volatility, self.ap, self.bp, cluster.po_duration) # --- calculation --- # the two first generated time series will be dropped, necessary to make system stable and physically coherent @@ -185,10 +191,6 @@ def generate_time_series(self, cluster: ThermalCluster, number_of_timeseries: in if cur_nb_AU > 100: ## it was like that in c++, i'm not shure why #maybe it's for the pow (FPOW, PPOW) calculation, if so it might not be the right place to do raise ValueError("avalaible unit number out of bound (> 100)") - if self.lf[day] < 0: - raise ValueError(f"forced failure rate is negative on day {day}") - if self.lp[day] < 0: - raise ValueError(f"programed failure rate is negative on day {day}") # = return of units wich were in outage = cur_nb_PO -= self.LOGP[now] @@ -196,37 +198,6 @@ def generate_time_series(self, cluster: ThermalCluster, number_of_timeseries: in cur_nb_AU += self.LOG[now] self.LOG[now] = 0 - # = checking if max PO is respected, else correct it = - ### !! obsolete, useless !! *TO VERIFY - if cur_nb_PO > cluster.npo_max[day]: - #to get PO under PO max we need to push back some extinciton - - #the number of extinction to push back - return_aim = cur_nb_PO - cluster.npo_max[day] - #the number of extinction pushed back - return_count = 0 - - for i in range(self.log_size): - if return_count == return_aim: - break - #the number of units starting in i days - starting = self.LOGP[(now + i) % self.log_size] - if starting >= return_aim - return_count: - #there are enough units to take - return_count = return_aim - self.LOG[(now + i) % self.log_size] -= return_aim - return_count - self.LOGP[(now + i) % self.log_size] -= return_aim - return_count - elif starting > 0: - #there are units but not enought for the objective - return_count += self.LOGP[(now + i) % self.log_size] - self.LOG[(now + i) % self.log_size] -= self.LOGP[(now + i) % self.log_size] - self.LOGP[(now + i) % self.log_size] = 0 - - assert return_count == return_aim - #PO come back to max PO - cur_nb_PO = cluster.npo_max[day] - cur_nb_AU += return_aim - # = determinating units that go on outage = #FO and PO canditate FOC = 0 diff --git a/tests/conftest.py b/tests/conftest.py index 2b9eee7..ee4f4de 100644 --- a/tests/conftest.py +++ b/tests/conftest.py @@ -1,20 +1,10 @@ import pytest from pathlib import Path -from cluster_import import from_csv - @pytest.fixture def data_directory() -> Path: return Path(__file__).parent / "data" @pytest.fixture def output_directory() -> Path: - return Path(__file__).parent / "output" - -@pytest.fixture -def cluster_1(data_directory) -> Path: - return from_csv(data_directory / "cluster_1.csv") - -@pytest.fixture -def cluster_100(data_directory) -> Path: - return from_csv(data_directory / "cluster_100.csv") \ No newline at end of file + return Path(__file__).parent / "output" \ No newline at end of file diff --git a/tests/data/cluster_high_por.csv b/tests/data/cluster_high_por.csv new file mode 100644 index 0000000..d0f3db5 --- /dev/null +++ b/tests/data/cluster_high_por.csv @@ -0,0 +1,14 @@ +CLUSTER 1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +unit count,100,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +nominal power,5000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +day modulation [24],1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +fo law,UNIFORM,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +fo volatility,0,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +po law,UNIFORM,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +po volatility,0,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, +fo duration [255],8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8 +fo rate 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2, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 5, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 8, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 6, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 4, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 6, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 8, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 4, 0, 2, 8)","(0, 1, 0, 0, 8)","(5, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 5, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 5, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 0, 0, 0, 0)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 6, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 4, 0, 0, 8)","(4, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 2, 0, 0, 8)","(4, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 6, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 5, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 6, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 0, 0, 2, 0)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(4, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(4, 4, 0, 2, 8)","(0, 1, 0, 0, 8)","(4, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(4, 0, 0, 2, 0)","(0, 3, 0, 0, 8)","(2, 5, 0, 2, 8)","(0, 3, 0, 0, 8)","(3, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 8, 0, 0, 8)","(2, 6, 0, 2, 8)","(0, 0, 0, 0, 0)","(2, 1, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(3, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 4, 0, 0, 8)","(4, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 6, 0, 2, 8)","(3, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)" -"(3, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 6, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 0, 0, 2, 0)","(2, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 5, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 5, 0, 0, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 3, 0, 2, 8)","(1, 5, 0, 2, 8)","(3, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 0, 0, 0, 0)","(3, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(4, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 5, 0, 0, 8)","(3, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(0, 4, 0, 0, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 6, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 5, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 0, 0, 0, 0)","(4, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 4, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(0, 7, 0, 0, 8)","(3, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 4, 0, 2, 8)","(0, 2, 0, 0, 8)","(5, 1, 0, 2, 8)","(0, 3, 0, 0, 8)","(4, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(4, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(3, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 6, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 0, 0, 2, 0)","(0, 3, 0, 0, 8)","(2, 5, 0, 2, 8)","(1, 5, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 5, 0, 0, 8)","(3, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 6, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 6, 0, 0, 8)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 1, 0, 0, 8)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(3, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)" -total PO :,3,total FO :,359816 -PO rate :,0.0358,FO rate :,0.1972 +"(1, 4, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 5, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(4, 6, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 6, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(0, 6, 0, 0, 8)","(2, 2, 0, 2, 8)","(2, 6, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(0, 5, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(3, 6, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 1, 0, 2, 8)","(0, 3, 0, 0, 8)","(3, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 6, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 6, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 0, 0, 0, 0)","(2, 4, 0, 2, 8)","(3, 0, 0, 2, 0)","(1, 0, 0, 2, 0)","(3, 0, 0, 2, 0)","(2, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 8, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 7, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(4, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 3, 0, 0, 8)","(3, 3, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 0, 0, 0, 0)","(5, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 1, 0, 2, 8)","(3, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 4, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 3, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(3, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 6, 0, 2, 8)","(2, 6, 0, 2, 8)","(1, 0, 0, 2, 0)","(4, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 1, 0, 0, 8)","(3, 4, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 0, 0, 2, 0)","(2, 4, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 6, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 7, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 6, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(4, 2, 0, 2, 8)","(0, 1, 0, 0, 8)","(3, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 5, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)" +"(3, 2, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(0, 6, 0, 0, 8)","(3, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 0, 0, 0, 0)","(4, 1, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 0, 0, 2, 0)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 5, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(4, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 0, 0, 2, 0)","(0, 3, 0, 0, 8)","(5, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 0, 0, 2, 0)","(2, 0, 0, 2, 0)","(3, 3, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 4, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(4, 4, 0, 2, 8)","(1, 5, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 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3, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 1, 0, 0, 8)","(4, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 4, 0, 2, 8)","(2, 10, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 2, 0, 0, 8)","(4, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 7, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(3, 0, 0, 2, 0)","(0, 5, 0, 0, 8)","(2, 7, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 3, 0, 2, 8)","(0, 2, 0, 0, 8)","(4, 6, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(3, 4, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(4, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 7, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 5, 0, 2, 8)","(0, 4, 0, 0, 8)","(5, 1, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 6, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 3, 0, 2, 8)" +"(0, 2, 0, 0, 8)","(2, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 0, 0, 2, 0)","(0, 0, 0, 0, 0)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(0, 5, 0, 0, 8)","(2, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 8, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 5, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 0, 0, 0, 0)","(2, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 5, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 8, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 5, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 4, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 6, 0, 2, 8)","(1, 0, 0, 2, 0)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 6, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 5, 0, 0, 8)","(2, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(3, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 7, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 5, 0, 0, 8)","(2, 2, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 5, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 4, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 5, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(3, 2, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 4, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 4, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 4, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 5, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 4, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 0, 0, 2, 0)","(0, 3, 0, 0, 8)","(3, 6, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 5, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(2, 5, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 5, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 1, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 1, 0, 2, 8)","(3, 4, 0, 2, 8)","(1, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 6, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 1, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(2, 6, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 0, 0, 2, 0)","(2, 4, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 4, 0, 2, 8)","(0, 6, 0, 0, 8)","(2, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(1, 2, 0, 2, 8)","(1, 1, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 4, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 0, 0, 2, 0)","(0, 4, 0, 0, 8)","(2, 2, 0, 2, 8)","(3, 7, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 1, 0, 2, 8)","(1, 6, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 5, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 4, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 2, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 5, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(3, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(4, 1, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 1, 0, 2, 8)","(1, 3, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 6, 0, 2, 8)","(3, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 4, 0, 2, 8)","(1, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(1, 4, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(3, 1, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 2, 0, 0, 8)","(2, 3, 0, 2, 8)","(3, 3, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 1, 0, 2, 8)","(2, 2, 0, 2, 8)","(2, 3, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 3, 0, 2, 8)","(1, 1, 0, 2, 8)","(2, 0, 0, 2, 0)","(1, 1, 0, 2, 8)","(4, 3, 0, 2, 8)","(1, 5, 0, 2, 8)","(1, 3, 0, 2, 8)","(2, 0, 0, 2, 0)","(2, 4, 0, 2, 8)","(3, 2, 0, 2, 8)","(2, 2, 0, 2, 8)","(3, 5, 0, 2, 8)","(0, 3, 0, 0, 8)","(3, 3, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 5, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 6, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 3, 0, 2, 8)","(0, 4, 0, 0, 8)","(4, 3, 0, 2, 8)","(1, 6, 0, 2, 8)","(2, 4, 0, 2, 8)","(2, 1, 0, 2, 8)","(0, 3, 0, 0, 8)","(2, 2, 0, 2, 8)","(0, 4, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 6, 0, 2, 8)","(0, 1, 0, 0, 8)","(2, 1, 0, 2, 8)","(0, 5, 0, 0, 8)","(2, 4, 0, 2, 8)","(1, 4, 0, 2, 8)" +total PO :,65544,total FO :,359968 +PO rate :,0.0359,FO rate :,0.1972 total simultaneous PO : -2,5,4,2,3,3,3,3,3,5,3,2,2,2,4,3,3,3,2,4,3,5,5,5,5,2,4,2,2,5,4,2,4,5,4,5,3,2,3,2,5,5,3,5,5,2,2,2,3,4,3,3,3,3,4,4,3,2,2,4,2,2,4,5,3,2,2,2,3,2,2,4,4,2,3,5,5,2,5,5,3,5,4,3,5,5,4,5,5,4,2,2,2,2,2,2,2,3,2,2,2,2,5,4,4,5,3,2,2,4,4,2,2,3,5,5,3,2,4,5,4,3,5,5,3,5,4,3,3,2,2,3,4,2,2,2,3,5,3,3,4,3,3,4,5,5,4,3,5,5,3,4,4,4,3,2,3,4,4,3,5,5,2,2,2,4,5,4,3,4,4,4,5,3,5,4,2,5,3,2,3,2,5,4,3,5,4,5,5,3,5,5,4,5,4,3,2,2,3,2,3,3,2,5,5,5,3,2,2,2,2,2,2,3,3,2,5,4,5,5,2,5,5,3,2,2,2,2,2,3,5,3,4,5,5,5,5,4,5,5,4,4,5,5,3,3,3,3,2,2,3,3,3,5,3,2,3,3,4,2,2,4,4,5,3,3,5,5,4,2,2,3,3,2,2,2,2,2,2,2,2,3,4,4,5,5,2,2,5,5,3,2,2,2,3,4,5,3,2,5,5,5,3,5,5,3,3,3,5,5,5,4,4,4,4,3,4,5,5,5,5,4,4,3,5,5,3,5,3,4,5,5,4,2,2,2,4,5,5,5,5,5,5,4,3,4,2,2,4,4,5,5,2,2,3,3,5,5,2,2,3,5,5,2,2 -2,5,4,3,5,5,5,5,4,5,5,3,5,5,3,3,4,3,5,4,2,4,3,2,2,2,5,5,3,4,2,2,2,5,5,5,5,2,5,5,4,5,5,5,5,5,4,2,2,2,2,3,5,5,4,5,5,4,5,5,2,4,5,5,5,3,3,2,5,5,4,5,2,2,4,3,4,5,4,2,2,4,4,4,5,4,3,4,5,5,2,2,5,4,3,5,5,3,3,5,5,4,4,4,3,3,4,5,5,3,2,4,5,5,5,3,3,4,4,5,5,2,2,2,2,3,3,5,5,5,4,5,5,5,4,5,5,2,2,2,4,4,5,5,4,3,4,5,2,2,3,4,4,4,5,3,5,5,3,4,4,2,4,5,5,5,2,2,2,2,2,2,4,5,5,5,4,5,5,3,2,2,2,2,3,4,5,3,2,2,4,5,2,2,4,4,3,5,5,3,2,4,5,2,2,2,3,5,4,4,4,5,4,3,4,5,5,3,3,5,5,5,5,2,4,4,4,5,2,3,5,5,5,3,3,5,4,4,3,2,3,4,2,3,5,3,2,4,5,4,3,4,5,3,4,3,2,3,2,2,5,5,4,4,5,5,3,5,4,4,5,5,4,2,5,4,2,4,3,2,2,2,2,5,5,2,2,2,4,5,2,2,5,4,3,5,5,5,5,4,5,5,3,2,2,4,4,3,3,3,3,5,5,3,3,5,4,2,2,2,2,2,3,5,5,4,4,3,5,4,3,5,5,5,5,2,2,2,2,5,5,2,2,5,5,2,2,3,4,3,2,3,2,2,3,5,5,5,4,2,3,4,4,5,5 -2,3,5,5,4,4,5,5,4,2,2,2,3,5,4,3,5,5,5,5,5,4,2,2,2,3,4,4,2,2,4,3,2,2,4,4,2,4,5,5,5,5,5,3,3,3,4,3,2,4,4,5,5,3,3,4,5,5,3,3,2,3,5,3,4,3,2,3,4,5,5,5,3,5,4,4,5,4,5,4,2,2,5,4,2,2,2,2,4,3,2,3,3,2,3,5,5,4,3,4,2,2,5,5,5,5,5,3,2,3,2,3,4,3,2,2,3,3,3,3,4,5,5,5,5,5,4,5,5,4,4,2,2,2,2,5,5,3,2,3,2,3,4,3,4,5,4,2,5,5,5,4,2,2,3,5,5,4,5,5,5,5,2,2,3,5,5,4,5,3,2,3,2,5,5,3,3,2,2,2,4,5,3,3,2,2,2,5,5,2,2,2,2,2,2,2,5,5,3,3,5,4,2,5,5,4,5,3,5,5,2,2,2,2,2,5,5,3,2,2,5,5,5,4,4,5,4,5,5,4,2,2,5,5,3,5,4,3,5,4,3,5,5,5,5,2,2,3,5,5,5,4,4,3,2,3,2,2,4,3,5,5,4,4,5,5,2,4,5,4,4,5,5,5,5,3,3,5,5,5,5,3,2,3,3,5,5,3,3,5,5,3,3,5,3,5,5,3,5,2,3,4,5,5,3,2,2,3,2,2,4,5,4,5,5,3,3,5,5,3,4,5,5,3,2,3,3,3,3,2,4,5,3,3,4,5,2,2,5,5,4,4,5,5,5,5,3,2,2,4,5,3,3,4,4,4,2,2,3,4,5,5,5,3,2 -3,3,3,5,5,2,2,3,3,3,3,3,3,2,2,4,5,3,2,3,5,5,3,5,5,4,4,5,4,3,2,2,4,3,2,2,2,3,3,3,5,3,5,5,2,2,2,3,2,2,2,2,2,4,5,3,2,5,5,2,3,4,4,5,5,3,3,3,4,5,5,5,2,3,5,5,5,4,5,4,5,5,4,5,3,5,5,2,5,5,5,5,5,5,3,3,2,2,4,5,5,5,3,2,5,4,2,4,5,5,5,5,5,5,3,3,4,5,5,3,4,4,2,2,2,3,5,5,5,5,5,4,4,5,5,3,2,4,2,2,4,3,2,4,3,5,5,5,5,3,5,4,2,2,2,2,4,3,3,4,5,5,5,5,4,5,4,4,3,2,5,5,4,5,3,2,5,5,4,5,3,2,2,2,2,2,2,2,3,2,3,3,2,3,4,2,2,2,2,2,2,2,2,4,5,5,5,5,5,5,4,5,3,2,4,4,2,3,4,2,2,3,3,2,5,5,5,5,3,5,5,5,5,2,2,2,2,3,2,2,2,4,4,3,5,3,2,3,2,2,2,3,3,3,3,3,2,2,4,4,4,4,3,2,2,2,3,3,3,5,5,3,5,5,3,2,2,2,2,5,4,2,2,2,2,2,3,2,2,5,5,3,2,3,5,5,4,3,3,5,5,5,4,4,3,2,3,2,2,2,3,3,3,5,5,4,2,2,4,4,3,3,5,4,3,2,2,4,4,3,3,4,4,3,2,2,3,3,2,2,2,2,2,4,5,4,3,4,4,4,4,5,5,4,5,5,5,5,5,4,5,5,5,5,3 -2,4,5,5,5,5,3,2,2,4,5,2,4,5,3,3,4,4,4,2,2,5,5,5,5,2,3,4,5,4,2,5,5,3,2,5,5,3,5,5,3,4,5,4,5,5,5,3,2,3,3,5,3,2,2,3,5,5,5,4,5,5,4,4,3,5,5,2,2,2,2,3,3,5,5,3,3,3,3,5,4,3,3,2,4,5,5,5,4,2,3,3,3,4,3,4,5,2,2,3,3,4,5,5,3,2,2,2,3,3,4,4,3,4,5,4,2,5,4,4,5,3,2,2,2,2,2,2,3,2,4,4,2,2,3,2,3,5,4,5,3,2,5,4,4,5,2,2,4,4,4,3,4,5,3,4,4,3,5,5,3,4,5,5,5,2,2,4,5,3,2,3,3,2,3,5,2,2,5,3,2,3,3,4,5,5,2,5,5,2,2,2,2,2,2,3,5,5,3,2,2,2,5,4,2,5,5,5,5,3,5,5,3,4,5,5,5,2,2,2,2,4,3,4,3,4,4,2,4,4,4,5,4,3,5,4,3,5,4,4,3,2,2,2,5,5,2,5,5,3,4,2,3,4,4,2,2,2,2,5,5,5,5,3,4,4,2,3,4,4,4,5,5,2,2,2,2,5,5,5,3,4,5,4,5,5,5,3,4,5,5,5,5,4,3,5,3,2,5,5,5,5,3,2,3,3,5,5,3,2,3,4,2,5,5,5,5,2,3,5,5,3,2,3,5,3,3,5,4,4,4,4,2,2,2,2,5,3,3,4,2,3,4,3,3,3,3,5,4,2,3,3,5,5,4,5,4,4,3,4,5,5,5,5,5 -5,5,3,3,4,5,5,3,3,2,2,3,2,2,2,3,5,4,2,5,5,4,4,3,3,3,2,3,5,5,5,5,4,4,3,2,5,4,3,4,5,5,3,3,4,4,5,5,2,5,5,2,3,3,5,4,4,5,4,4,5,4,2,3,2,4,5,4,5,4,5,5,4,3,3,2,3,5,3,4,5,5,5,5,5,3,2,2,5,5,4,5,4,4,2,2,2,2,2,2,2,2,5,3,2,3,3,5,5,4,4,5,5,4,4,3,2,5,5,4,5,3,4,5,5,3,2,2,3,4,2,3,5,4,5,5,2,2,4,4,2,2,4,3,4,5,4,5,5,3,3,5,4,4,5,4,3,3,4,4,3,4,4,5,3,2,3,2,2,2,2,2,5,5,4,5,5,5,2,2,3,3,3,4,5,2,3,4,5,5,2,2,4,4,3,5,4,5,5,3,3,4,4,2,5,5,3,5,5,5,5,3,5,5,2,2,2,3,4,3,2,4,5,5,3,2,3,4,4,5,5,5,5,5,4,2,5,4,2,2,2,3,4,5,5,3,3,5,5,5,4,4,5,5,5,4,2,5,5,2,2,2,4,5,4,3,4,5,4,3,2,5,5,2,4,5,5,4,4,4,5,4,2,2,3,4,5,4,3,5,5,4,3,4,4,4,5,5,5,4,4,4,3,2,4,5,3,2,2,3,4,5,3,2,2,2,3,2,3,5,5,3,4,4,2,3,2,2,2,2,4,5,5,3,2,5,5,3,5,3,3,5,5,5,5,4,3,3,2,2,2,2,3,5,5,5,5,5,5,5,4,3,5,4,2 -2,4,4,2,2,2,2,2,2,2,4,4,3,5,5,3,3,2,2,3,3,4,4,4,4,5,5,5,5,2,4,5,5,5,3,4,4,4,4,3,2,4,5,2,2,2,2,4,4,2,2,3,5,5,3,4,3,3,5,5,5,5,5,5,3,2,4,5,2,2,5,4,2,5,5,2,2,3,4,5,5,4,4,3,2,2,2,2,5,5,3,3,3,5,5,5,4,2,2,2,2,5,5,2,3,5,4,3,2,2,2,5,5,2,4,4,2,2,4,2,2,2,2,3,2,4,4,3,5,4,2,2,2,5,5,3,4,5,4,4,4,2,2,2,2,3,5,5,3,2,4,4,4,3,2,5,4,2,3,3,4,3,3,3,2,3,2,2,2,3,4,3,5,5,2,5,4,2,3,3,3,3,4,4,3,2,2,2,5,5,3,5,3,3,5,3,2,2,2,2,4,5,2,2,2,3,5,4,4,4,5,5,4,5,5,5,4,4,4,3,4,4,3,3,3,2,5,5,5,4,4,5,2,2,2,3,3,3,5,5,5,4,2,2,2,2,2,3,4,4,3,3,5,5,2,2,4,5,5,4,4,4,4,3,2,5,4,2,4,3,5,5,3,3,5,5,3,3,3,5,4,3,4,5,5,2,2,5,4,4,4,4,5,5,5,3,3,5,3,2,2,2,2,3,5,3,3,2,2,2,3,4,2,3,2,4,5,2,4,3,4,5,2,2,5,5,5,5,3,5,5,3,2,2,2,3,4,3,3,2,2,2,3,4,3,5,4,5,5,4,5,4,5,5,5,4,4,5,5,5,4,5,5,5,3 -4,5,5,5,2,3,5,5,4,4,4,5,5,5,5,3,3,3,5,5,5,5,2,2,3,4,3,3,4,4,5,5,3,3,5,5,3,4,4,4,3,2,3,3,2,2,4,4,5,3,2,2,3,4,2,2,3,4,4,5,5,3,5,5,3,3,2,3,3,2,2,2,2,2,5,4,5,5,2,3,3,2,2,2,3,5,3,2,3,4,4,4,5,5,4,4,2,3,5,2,2,3,3,5,5,3,3,3,2,3,3,2,5,5,3,5,4,5,5,4,4,2,4,5,3,2,2,3,2,2,4,5,5,3,4,5,4,3,4,3,2,3,2,2,3,5,5,3,2,2,3,3,2,3,3,2,3,4,2,2,3,3,3,2,2,5,5,3,5,5,5,5,5,3,2,5,5,4,3,4,5,3,3,5,3,2,3,3,3,5,5,3,3,4,5,5,3,3,5,3,2,5,4,4,5,2,2,4,5,4,3,2,2,2,3,3,3,4,2,2,2,2,2,2,5,4,4,5,5,3,2,3,4,5,2,2,4,4,4,3,4,5,2,3,5,3,3,3,4,5,5,4,2,2,5,5,2,3,4,3,2,3,5,5,3,3,5,5,4,5,5,4,5,5,2,3,4,4,3,2,2,4,5,3,5,5,5,5,4,3,5,5,3,3,4,5,5,3,2,2,2,2,2,2,2,3,3,4,4,4,4,3,2,4,4,5,5,2,3,2,3,5,5,5,3,4,3,4,5,2,2,2,2,2,2,3,2,4,5,3,2,5,5,2,5,5,3,3,4,5,5,4,5,4,2,4,4,5,5,5,5,3,5,3,4 -5,5,5,2,3,2,2,5,5,3,3,5,5,5,5,5,3,2,2,3,5,4,3,4,5,5,5,3,2,3,3,2,2,2,5,5,2,2,3,3,4,4,5,5,2,5,4,2,2,2,2,2,5,5,4,2,2,4,3,4,5,5,4,2,5,5,2,2,2,2,2,2,2,2,4,5,4,5,5,3,4,5,3,2,3,3,2,5,4,5,5,2,5,5,4,5,5,4,3,2,3,3,5,5,2,5,5,3,4,3,5,5,2,5,5,4,4,3,2,2,2,2,2,5,5,2,5,5,3,3,5,4,4,5,3,5,5,2,4,5,4,5,5,3,3,2,2,2,2,3,3,3,2,2,3,5,4,2,2,2,3,4,2,2,2,2,4,4,5,5,5,5,3,2,5,4,3,3,2,2,2,5,4,2,2,5,5,5,5,4,5,5,5,2,2,3,5,5,3,4,5,3,3,5,3,3,4,4,3,4,4,5,5,3,4,4,3,2,3,5,5,4,3,2,2,2,2,3,5,4,3,5,4,2,3,4,5,4,2,2,2,4,5,4,5,5,4,2,2,3,2,3,3,3,3,5,5,4,5,4,4,3,2,3,3,2,3,3,4,5,4,3,3,4,2,4,5,3,5,5,5,5,3,2,3,3,2,3,4,4,4,4,4,4,5,4,3,5,4,3,5,5,4,5,4,4,5,3,5,4,2,2,3,3,2,4,5,5,3,2,5,5,3,5,5,5,5,3,3,2,2,3,4,3,2,2,2,4,5,5,3,2,2,2,3,4,3,2,3,5,5,2,2,5,4,3,3,2,5,5,5,4,2,2,2 -2,2,3,5,5,4,5,5,5,3,2,3,4,3,2,2,3,4,3,3,2,2,2,2,3,3,3,2,5,4,2,3,5,5,3,4,5,5,4,5,5,3,3,3,2,3,5,5,4,5,5,3,3,5,3,2,5,5,5,5,5,4,5,5,3,5,5,2,3,4,5,5,3,5,4,2,4,4,3,5,4,5,5,5,5,2,2,3,2,2,5,5,2,3,4,5,5,3,3,2,5,5,4,3,2,2,2,3,4,5,5,5,5,4,4,5,4,2,3,3,3,5,2,2,3,4,4,4,3,2,2,3,5,3,2,5,5,4,4,4,4,2,2,4,4,2,2,2,5,4,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,4,4,4,5,4,5,5,5,5,4,5,5,5,4,2,3,4,4,5,3,3,4,3,5,5,2,2,2,2,3,4,4,4,4,4,4,5,4,3,4,2,2,3,2,4,3,2,4,3,3,2,2,2,4,4,3,5,3,4,4,5,5,3,2,2,2,2,5,4,2,3,5,4,5,5,4,5,5,4,5,5,3,3,3,2,2,5,5,4,3,2,2,3,5,5,3,2,5,5,5,5,3,3,4,4,2,2,3,5,5,2,3,5,5,5,3,2,3,3,2,4,4,3,3,4,3,5,5,5,5,2,5,5,2,2,5,5,3,2,2,4,5,4,3,5,5,5,5,3,3,2,5,4,2,2,2,2,2,5,4,2,2,3,5,5,3,4,5,2,2,2,2,5,5,5,5,2,2,4,2,2,5,5,5,5,3,3,5,5,3,5,4,2,3,2,5,5,2,4,5 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-3,5,4,5,5,4,5,3,3,5,4,5,5,3,5,5,5,3,2,3,2,5,5,3,5,5,2,2,4,2,3,3,5,5,2,5,4,4,4,5,5,3,2,4,5,4,5,4,4,5,5,5,4,4,3,4,5,5,5,5,5,4,5,4,2,2,2,2,2,2,2,3,5,5,5,5,5,5,3,2,4,5,4,3,3,2,5,5,3,2,5,5,2,5,4,4,5,5,5,5,4,2,4,5,5,5,2,5,5,2,5,5,4,4,4,4,2,2,3,4,5,3,4,5,4,5,4,5,5,3,4,5,4,4,5,2,3,4,4,5,4,5,4,2,4,5,4,3,4,5,3,5,5,5,5,4,5,2,2,5,5,2,4,5,5,5,4,5,5,4,2,5,5,5,5,2,3,3,2,2,2,2,2,4,5,5,5,3,4,5,4,3,2,4,5,4,5,3,2,3,5,4,2,3,3,4,4,3,4,3,2,3,5,5,3,4,5,5,5,5,2,2,2,3,5,2,2,5,4,2,5,5,3,3,5,5,4,5,3,2,3,3,2,2,2,4,3,2,3,2,3,2,2,2,2,5,5,5,5,5,5,4,3,2,2,2,3,5,5,3,2,4,3,5,5,2,2,3,5,4,3,5,5,4,5,4,5,5,3,3,5,5,3,3,3,3,4,3,3,4,4,3,2,3,2,2,5,5,5,3,2,2,2,4,4,2,3,5,4,4,2,2,5,5,5,5,4,4,5,5,2,2,3,3,5,5,2,4,5,2,3,2,2,5,5,2,2,4,5,5,4,4,3,3,4,4,4,2,3,4,5,4,3,5,2 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-5,5,3,4,4,5,5,3,5,5,5,4,4,4,4,5,2,2,3,3,4,3,4,5,3,2,2,2,3,3,2,4,3,2,2,2,5,5,4,5,5,5,3,3,5,5,5,5,5,4,4,4,4,4,4,2,4,5,2,3,5,4,3,3,3,4,5,5,5,5,2,2,4,4,5,5,5,4,2,3,3,5,5,3,2,3,4,2,2,2,2,3,5,3,2,3,2,2,3,4,4,3,2,5,5,5,5,2,3,2,2,2,2,3,2,3,2,2,4,5,4,4,5,2,3,4,4,5,2,2,2,2,2,2,2,2,2,2,3,2,2,2,3,5,5,4,3,2,2,2,2,5,5,5,5,3,3,5,5,2,3,4,4,2,2,3,2,2,4,4,4,5,5,4,5,5,3,3,5,5,2,2,2,2,2,2,4,5,4,2,2,5,4,2,5,5,2,3,3,5,5,5,5,2,5,5,4,5,4,4,3,3,5,4,4,5,4,5,5,3,4,5,5,5,4,4,5,5,3,2,4,4,3,4,3,2,3,5,4,4,4,2,3,2,4,5,2,3,4,3,2,2,3,4,5,5,2,3,4,5,5,3,5,4,2,2,3,3,3,4,5,4,5,5,2,3,4,3,3,2,2,3,2,2,4,5,2,2,3,3,5,5,4,4,5,5,2,2,4,5,3,3,3,2,4,3,4,3,5,5,2,2,2,3,3,2,2,2,2,2,4,5,2,2,4,4,5,4,2,4,4,3,2,5,5,3,4,5,5,3,4,5,4,5,5,5,5,3,5,5,4,5,3,2,4,5,4,5,4,2,2,3,3,2,5 -5,4,5,4,3,4,5,4,4,3,2,2,3,4,3,4,5,4,5,3,2,2,2,2,2,3,2,2,2,2,2,3,4,3,3,3,4,4,3,2,2,5,5,5,3,2,2,2,2,3,5,3,4,4,3,3,2,5,5,5,5,3,3,4,4,5,4,3,5,5,5,5,4,5,5,2,2,3,2,2,3,4,5,3,3,3,3,5,5,3,4,4,2,2,3,3,2,5,5,2,5,5,2,2,2,2,2,4,5,4,5,5,2,2,4,5,5,4,3,3,5,5,2,2,5,4,3,4,5,5,4,4,5,5,5,5,2,2,5,5,5,5,4,5,4,4,4,2,2,2,4,4,5,5,2,3,5,5,5,4,2,4,4,3,5,4,5,5,2,2,2,2,2,5,5,4,5,4,2,2,2,2,3,2,4,5,5,4,5,5,4,4,2,3,3,3,5,5,5,5,5,5,4,3,4,5,2,2,2,2,3,3,4,4,2,2,4,3,3,3,2,2,4,5,3,5,5,2,2,5,5,3,4,3,4,3,2,3,2,3,4,4,2,2,4,4,3,2,2,5,5,4,5,3,4,3,2,5,3,2,3,2,2,5,5,2,3,3,3,3,2,2,3,3,3,5,5,5,4,3,4,5,5,3,4,4,5,4,5,5,3,5,3,2,2,3,5,4,4,5,4,2,2,4,3,4,3,2,3,3,5,5,5,5,4,5,4,3,3,5,5,2,2,5,5,5,5,2,2,3,5,5,5,5,4,2,2,5,4,2,5,5,2,2,3,4,4,5,5,3,5,4,2,2,2,2,3,5,5,4,4,5,3,3,2 -2,3,2,2,2,4,3,2,2,2,5,5,2,2,3,3,5,5,4,2,4,5,2,2,2,2,2,4,5,2,2,5,4,3,4,3,2,3,3,3,2,2,3,3,3,2,2,4,5,5,5,5,5,3,2,2,4,5,4,4,3,5,5,3,5,4,5,5,3,3,2,3,3,2,5,5,3,5,3,5,5,2,3,2,4,4,5,5,4,4,4,5,5,5,4,5,4,2,3,4,5,5,4,5,5,5,5,4,5,5,5,4,4,5,4,5,5,2,2,2,2,5,4,2,2,2,2,2,2,2,2,2,5,4,2,2,2,3,3,5,3,2,2,3,5,3,2,4,4,5,5,4,4,2,2,2,2,2,2,2,5,5,2,2,2,2,2,2,2,2,4,4,3,5,4,2,4,5,4,3,2,2,2,4,5,3,4,5,2,2,4,2,2,2,2,5,4,3,2,4,5,2,5,5,2,3,4,3,2,2,2,5,5,4,5,5,5,2,5,5,4,5,4,5,4,4,2,5,5,3,5,3,2,3,4,3,4,4,4,5,5,4,4,4,3,4,4,5,3,2,3,2,4,5,5,4,2,5,4,4,5,2,2,2,2,3,3,3,4,3,2,2,4,4,2,2,4,3,5,5,3,5,3,5,5,2,2,2,2,2,2,2,2,4,5,5,5,3,2,2,4,3,2,5,3,2,5,4,4,4,2,2,3,5,5,2,3,4,5,5,3,5,5,3,4,4,2,4,5,2,2,3,4,5,5,5,5,5,5,4,5,5,4,3,3,3,2,2,3,5,5,5,4,4,5,4,5,5,4,5,2,2,2,5,5 -3,4,4,5,3,5,5,4,4,2,2,2,5,5,2,2,3,5,5,3,4,4,3,2,2,5,4,3,5,5,3,2,2,3,4,5,3,2,3,5,4,2,4,5,5,4,4,5,5,5,5,5,5,4,4,5,3,3,3,3,5,2,2,2,4,4,5,5,2,2,2,2,2,2,3,4,3,5,5,4,3,4,5,3,3,3,3,3,2,2,2,3,3,3,5,4,2,5,5,2,2,3,4,4,3,2,2,2,2,2,2,2,3,5,5,3,4,4,2,2,2,3,5,4,2,2,2,2,5,5,3,2,3,5,5,5,3,2,2,2,4,3,4,5,3,5,4,3,4,3,2,5,5,2,4,5,2,3,4,2,2,2,3,5,4,3,3,5,5,4,5,5,5,3,3,4,3,2,2,2,4,5,2,4,5,3,3,2,2,5,5,4,5,4,5,5,3,2,2,3,4,4,2,2,3,2,2,4,5,3,3,5,4,5,5,5,5,2,4,5,3,5,5,3,5,5,3,4,5,3,3,4,5,5,4,4,4,3,2,2,3,4,5,5,5,4,2,5,4,3,5,3,2,2,4,5,5,5,3,3,2,2,5,3,2,2,2,3,3,4,4,5,5,3,5,4,2,2,2,5,3,3,5,5,5,5,5,3,4,5,3,2,4,5,4,3,3,3,5,5,4,5,2,4,5,3,4,3,4,4,5,5,2,3,4,5,3,4,5,3,5,4,3,4,5,5,2,2,3,4,5,4,5,4,4,3,2,3,4,4,2,4,5,3,2,3,2,4,4,2,2,2,2,2,2,2,4,5,4,4,4,2,2,4,5 -3,3,5,4,2,4,3,2,5,3,4,4,4,5,3,3,2,4,4,2,2,2,5,5,3,5,5,2,2,4,5,5,3,3,3,2,2,2,2,5,5,5,5,2,3,3,2,3,4,5,5,2,4,5,3,4,5,3,2,5,5,4,5,5,5,5,2,2,5,5,4,4,4,2,2,2,5,5,4,5,4,3,3,4,4,3,2,5,4,2,5,5,2,2,2,2,5,5,4,5,4,4,4,4,5,5,3,4,5,2,3,5,5,4,4,5,3,2,3,2,4,5,2,2,2,2,2,5,5,2,2,2,2,2,3,5,5,4,4,4,2,2,5,4,3,3,5,5,5,5,3,3,5,5,2,2,4,5,3,2,4,4,3,2,4,5,5,5,3,2,2,5,5,2,2,5,3,3,5,4,2,4,5,2,5,5,4,4,4,5,2,4,5,3,5,5,5,5,5,5,2,3,4,2,2,2,4,4,2,2,2,2,2,4,3,2,3,3,4,4,2,3,5,4,4,2,2,4,4,5,3,2,5,5,4,5,4,2,5,5,5,5,3,3,3,4,5,3,2,2,4,5,2,2,3,4,4,5,5,5,3,3,5,4,5,5,3,2,2,2,2,4,5,5,4,3,4,5,5,5,4,4,5,5,3,2,3,5,5,3,5,4,2,3,5,5,5,4,3,4,3,4,3,5,5,2,3,5,5,5,5,5,5,3,4,3,3,4,4,3,2,2,2,4,4,4,5,5,4,2,2,3,5,5,5,5,2,4,5,3,2,2,4,3,2,3,3,3,5,5,5,5,5,4,2,3,5,5,5,3,2,2,2,2,4 -5,3,3,2,2,2,2,4,3,4,5,2,4,4,4,4,4,4,2,5,5,3,4,5,5,5,5,4,5,5,3,3,5,5,4,5,4,4,5,3,2,3,5,5,5,5,3,3,2,3,4,5,5,3,5,4,3,5,5,4,5,5,4,5,5,4,3,5,5,5,5,5,5,2,5,5,2,2,3,4,5,5,5,3,3,3,2,4,2,5,5,5,5,2,4,5,4,2,2,2,2,2,3,4,5,5,5,4,2,3,3,5,5,3,4,3,5,4,2,4,2,2,5,5,3,2,3,5,3,2,2,2,2,2,2,3,4,5,5,3,2,3,4,2,2,3,4,4,3,3,4,3,2,3,5,5,5,3,2,2,2,5,5,5,5,5,4,2,3,4,2,2,2,2,2,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,3,4,3,5,4,2,2,2,2,2,2,2,3,3,4,3,2,3,5,3,2,3,2,3,4,4,4,5,3,5,5,3,5,5,4,2,2,2,2,2,2,2,2,4,3,2,3,3,3,3,3,2,2,2,5,5,3,5,5,4,5,5,5,4,2,4,5,4,4,2,2,3,2,2,5,4,2,2,2,3,3,4,5,5,2,2,5,4,2,2,3,3,2,3,3,2,3,2,2,2,2,2,5,5,2,4,5,3,2,5,4,2,4,5,3,3,3,5,5,2,3,5,3,2,5,5,5,5,5,5,5,5,4,2,2,3,5,5,3,5,5,5,5,4,5,3,2,5,5,4,5,5,5,5,5,5,5,5,5,5,5,4,2,2,3,4,3,4,5,4,5,4,2,2 -2,4,4,2,3,5,4,2,2,3,5,5,4,3,2,2,2,3,2,2,3,5,5,4,5,3,3,2,2,5,4,2,2,2,2,2,3,3,2,2,3,5,4,3,5,5,4,5,5,2,3,5,5,5,5,5,3,3,3,5,5,2,2,3,5,4,2,5,5,4,5,5,3,2,5,5,4,5,3,2,5,4,4,5,4,5,4,5,5,2,4,5,5,5,5,4,3,5,5,4,4,3,2,4,5,3,3,5,4,3,2,2,4,2,2,2,2,2,5,5,3,4,3,3,2,2,5,5,4,5,5,5,5,3,2,2,2,3,5,5,4,4,2,3,3,3,5,4,2,4,5,3,3,5,4,2,2,5,4,2,5,5,4,5,5,3,2,2,2,2,3,5,3,2,4,4,3,3,2,3,5,3,3,4,3,2,3,2,4,5,4,4,2,2,4,4,2,2,5,4,2,3,2,2,2,2,2,2,3,4,3,2,3,4,5,5,5,5,4,3,3,4,5,4,5,5,5,5,5,5,2,3,2,3,5,3,4,5,4,4,4,2,3,4,3,5,4,3,4,4,3,3,5,5,3,3,3,4,5,2,3,4,4,4,2,2,2,2,2,2,4,4,3,2,2,2,2,2,2,3,3,5,5,4,5,5,3,5,5,3,2,2,4,5,5,5,3,2,4,3,3,5,5,5,5,2,2,3,5,5,4,5,3,2,2,3,2,3,5,3,2,3,5,4,4,5,4,5,5,3,3,3,3,5,5,5,5,3,2,5,5,5,5,4,5,2,2,5,4,5,5,3,2,5,5,2,4,4,3,2,3,3,4,5,5 -5,5,5,4,4,5,5,5,5,4,4,4,5,4,3,5,5,2,3,5,2,2,5,4,2,3,5,5,4,4,4,3,4,4,3,3,2,4,3,2,3,4,5,4,5,4,5,5,3,5,4,4,5,3,5,5,5,5,2,2,2,2,2,5,5,2,4,5,4,5,5,3,5,5,5,5,3,2,2,5,5,5,4,2,3,4,3,5,5,5,5,5,5,3,5,5,5,5,3,3,3,3,5,5,3,2,2,2,2,2,4,3,2,2,4,5,5,5,2,2,2,2,3,5,5,2,2,5,5,4,3,2,4,4,3,3,2,5,4,2,4,5,5,5,4,4,5,2,2,4,5,5,4,5,5,3,2,3,5,5,5,4,3,4,4,5,5,3,2,2,2,4,5,5,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,5,4,4,5,3,3,3,3,3,2,3,5,5,4,2,2,2,2,5,5,5,4,4,3,2,3,4,4,2,3,2,2,2,2,2,2,5,5,3,3,3,4,5,5,5,2,2,4,5,4,2,4,3,2,2,2,5,5,4,3,2,2,2,2,2,2,2,2,5,5,4,5,5,4,2,3,3,2,2,2,2,3,2,2,2,2,3,5,5,2,2,2,3,5,5,3,5,5,5,4,3,5,4,3,2,3,2,2,2,2,5,5,3,4,4,4,3,4,5,2,2,2,3,4,3,3,4,2,2,5,3,2,5,5,2,2,4,5,5,5,3,4,5,2,2,5,4,2,5,5,3,4,3,2,2,3,5,4,5,5,4,3,3,2,5,5,4,5,3,2,3,5 -4,4,5,5,4,3,5,5,4,5,3,4,5,4,2,4,5,2,3,4,5,5,5,3,2,3,2,4,5,4,4,5,5,4,3,5,5,2,4,5,5,5,4,4,4,4,3,5,5,2,3,4,2,3,3,2,5,5,5,3,4,5,2,2,2,3,3,3,5,5,5,5,3,3,4,5,5,4,5,5,5,5,3,5,5,4,5,4,4,5,5,3,2,2,2,5,4,2,4,5,5,5,4,3,3,2,4,3,4,5,2,3,4,3,2,5,5,2,3,4,3,4,5,3,5,5,2,3,4,2,4,4,2,2,2,2,2,4,5,5,3,3,5,5,4,3,2,4,3,3,5,2,2,5,4,2,4,5,2,2,5,3,3,4,5,5,5,5,3,3,2,3,3,4,5,3,5,5,3,3,4,3,2,5,5,5,5,3,2,3,5,5,4,5,5,3,3,2,2,5,5,5,5,4,4,5,4,3,4,5,5,5,5,3,3,2,2,2,2,3,3,5,5,5,5,3,2,4,4,3,3,5,5,3,4,2,2,2,2,3,2,5,4,2,2,2,4,3,3,4,4,3,3,3,4,3,3,5,3,2,2,2,3,2,2,2,2,3,3,5,3,2,5,4,3,4,4,3,2,3,2,2,4,4,4,5,5,2,2,5,4,5,5,4,3,2,3,5,5,4,5,3,2,4,4,5,5,3,2,2,2,2,4,4,3,3,2,2,4,5,5,3,4,4,4,5,5,5,5,5,4,5,4,2,2,3,4,5,5,5,5,4,2,3,3,5,5,2,5,5,3,3,4,5,5,3,4,5,5,5,5,3,2,3,2 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-3,2,3,5,3,4,4,2,3,5,5,2,2,4,4,5,5,4,4,5,4,4,5,3,5,5,2,3,3,5,5,3,4,5,5,2,3,5,5,3,2,5,5,3,4,3,2,4,5,4,4,5,4,5,5,5,5,3,5,5,3,5,5,2,3,5,3,2,2,2,3,3,3,3,5,5,2,4,5,5,5,4,5,5,3,4,5,5,5,5,5,5,5,4,5,4,5,5,3,2,3,3,2,4,3,3,3,5,5,2,4,4,4,5,5,5,3,5,5,3,4,3,4,5,3,4,4,2,3,5,3,4,5,5,5,2,3,4,4,3,4,4,2,2,2,2,3,3,3,3,3,5,4,2,2,5,5,4,5,2,2,2,2,4,2,2,4,4,5,5,2,2,4,3,2,5,5,2,2,2,2,3,5,3,2,3,2,2,3,5,5,3,5,5,3,5,5,2,2,3,3,5,3,2,2,2,2,2,2,2,3,3,4,3,3,4,4,5,4,2,4,3,2,2,3,4,2,5,5,5,5,3,5,4,5,5,2,2,5,5,2,5,5,4,5,2,3,5,5,5,4,4,3,3,3,2,4,3,2,3,3,3,2,3,2,2,3,2,4,5,5,5,2,2,2,3,4,5,4,2,3,5,5,2,3,2,2,3,4,5,4,4,4,5,5,3,2,2,4,5,3,4,4,2,2,5,5,2,2,4,5,3,2,5,5,5,5,3,5,4,5,5,4,3,4,5,5,5,4,5,2,2,2,5,5,3,5,5,5,4,4,3,3,3,4,5,4,5,5,4,5,4,3,5,5,3,4,4,2,2,2,2,4,4,3 -5,4,4,4,2,2,2,3,3,3,4,3,4,5,4,2,3,5,4,4,3,4,5,2,3,3,2,3,2,5,5,3,3,4,5,5,4,2,2,2,2,2,3,2,5,5,2,5,4,2,3,4,5,3,3,5,5,3,2,3,4,5,5,4,4,5,5,5,4,4,4,2,2,4,5,5,5,5,4,4,3,2,4,4,4,5,3,5,5,3,2,4,5,3,3,2,2,2,2,5,5,2,4,5,5,5,5,5,2,2,4,3,3,4,5,3,2,2,2,4,2,2,5,5,3,3,2,2,2,2,3,2,2,2,2,4,4,2,4,5,3,4,5,4,3,3,2,3,3,2,3,3,2,5,5,2,2,2,5,5,4,5,5,3,4,5,5,5,5,5,4,5,5,4,4,3,4,5,4,3,2,5,5,2,4,5,3,2,3,4,4,5,5,4,3,4,5,4,5,4,2,4,4,2,4,4,4,3,2,5,3,2,2,2,4,5,5,4,3,2,2,4,4,5,5,3,4,3,2,5,5,5,5,2,5,4,2,2,4,5,4,5,4,5,5,5,5,5,3,2,2,2,2,2,4,5,5,5,5,5,5,5,5,5,4,4,4,4,5,5,5,5,5,5,3,2,3,3,5,3,2,2,2,5,5,5,5,2,2,2,5,5,2,2,3,5,5,5,2,2,2,2,2,3,5,4,4,4,4,4,4,3,2,3,5,4,4,5,4,5,4,2,3,3,5,5,2,3,4,5,5,4,5,5,4,2,3,3,2,5,5,5,4,2,2,2,2,2,4,5,3,2,2,2,2,4,4,2,2,3,4,4,5,5,5 -5,2,2,5,4,4,3,2,5,3,3,5,2,2,2,2,2,5,5,5,5,4,5,5,5,2,2,4,5,4,5,5,2,2,3,2,2,2,5,5,2,3,4,3,2,2,2,2,2,2,2,2,3,5,4,3,4,5,4,2,2,5,5,4,3,3,5,3,2,4,5,2,2,3,3,2,2,3,2,2,2,3,2,5,5,2,2,2,3,2,5,5,2,5,5,4,5,4,2,2,4,3,4,5,3,5,5,3,3,3,5,5,3,2,5,5,2,3,3,3,4,3,3,2,2,3,2,2,4,5,5,5,5,5,3,3,3,2,4,5,3,4,5,2,2,4,5,5,3,3,4,5,5,2,2,2,3,4,5,4,2,2,3,4,2,5,5,2,4,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,5,2,5,3,2,5,4,3,4,5,5,3,3,4,3,2,2,2,5,5,2,2,2,2,2,3,3,2,4,4,2,4,5,4,5,4,3,4,3,2,3,5,5,2,2,3,2,2,4,5,2,2,5,3,2,5,4,4,4,4,3,2,4,4,5,4,3,4,2,3,5,4,3,2,5,4,2,3,3,5,4,5,4,5,5,4,5,3,5,5,3,3,5,5,5,4,2,3,3,2,2,2,3,4,3,5,5,2,2,4,5,5,5,5,4,5,5,2,2,2,2,2,2,2,2,2,5,5,3,5,5,5,3,5,5,3,5,5,5,3,2,2,4,5,2,3,4,4,4,3,5,5,5,5,5,5,3,2,4,5,3,2,4,5,5,5,4,5,5,5,4,3,4,2,3,5,5,4,3,3 -4,4,4,4,2,2,4,5,3,4,3,2,2,2,3,2,2,4,5,3,4,3,2,3,5,5,4,5,3,3,4,3,2,2,2,5,5,2,4,5,5,5,4,4,4,5,4,3,3,3,3,2,5,5,4,5,4,5,5,4,5,4,2,5,5,3,3,5,5,2,4,5,5,3,2,3,3,5,5,4,5,5,4,4,3,5,4,2,4,3,4,5,4,3,5,5,2,2,3,5,5,3,2,2,2,2,3,3,2,2,2,5,5,2,3,5,5,3,4,4,3,3,4,5,3,2,2,2,2,4,5,2,2,3,2,3,2,2,3,5,5,4,5,2,2,2,2,3,2,2,2,2,2,4,5,4,3,2,2,2,3,3,3,3,4,5,4,4,4,2,2,2,3,5,4,3,4,3,2,5,4,5,5,5,5,3,5,5,4,4,5,3,2,4,2,5,5,3,5,5,5,4,5,3,2,2,2,2,2,3,4,5,2,2,4,2,3,5,5,5,5,5,4,3,3,5,5,5,5,4,4,3,5,5,2,3,4,2,4,5,2,4,5,4,4,4,4,5,5,2,2,5,3,3,5,5,5,4,4,2,2,5,4,4,3,2,4,2,2,2,4,5,2,4,5,5,4,2,3,5,5,5,5,4,5,4,2,2,3,4,2,3,5,3,5,5,3,3,3,2,2,2,2,2,2,3,3,5,5,5,5,4,5,5,5,5,4,4,5,4,4,5,4,4,3,4,5,3,2,3,5,5,2,4,4,2,4,3,2,2,2,2,2,3,5,5,3,2,2,5,4,2,5,5,3,3,2,2,2,2,2,2,2,2,2 -2,2,2,4,5,4,3,4,3,4,5,5,5,5,4,5,4,5,5,2,3,3,5,5,3,3,4,2,2,2,4,5,3,4,2,3,4,5,5,3,4,3,3,3,2,5,5,5,5,5,5,2,2,2,3,5,5,5,5,4,2,3,3,2,3,2,2,2,2,2,2,3,3,2,3,4,3,2,2,2,4,5,5,5,4,4,3,3,3,3,5,5,3,2,2,2,5,5,2,2,4,4,4,5,4,5,5,5,5,4,5,5,4,4,4,3,2,5,5,2,2,3,5,5,4,5,3,2,5,5,4,5,4,4,5,2,3,5,4,2,3,5,4,2,2,3,3,3,3,3,2,4,3,4,5,5,5,5,5,5,5,2,3,4,3,2,2,2,2,2,3,5,5,3,5,5,2,5,5,2,4,4,3,2,2,4,4,5,3,2,4,4,2,2,4,4,3,5,5,3,3,2,2,3,4,3,2,5,5,2,2,4,4,2,4,3,2,2,2,4,4,3,2,3,4,5,5,5,5,5,5,2,2,2,4,5,2,2,2,2,2,5,5,2,2,3,5,5,2,4,5,4,3,2,3,2,4,4,2,4,4,2,2,2,4,3,4,5,3,4,5,5,5,3,2,5,5,3,2,3,4,5,3,2,3,5,5,2,2,2,2,2,3,5,3,2,2,2,5,5,5,5,4,3,5,5,2,2,3,4,5,4,3,5,5,5,5,2,2,5,3,2,5,5,4,4,5,5,3,4,5,3,4,5,5,4,2,5,5,3,3,2,2,2,3,5,4,4,4,5,5,5,4,2,5,4,5,4,2,4,5,5,5,4,5 -4,2,3,4,5,5,4,4,3,2,2,2,3,3,2,5,5,3,5,2,5,5,2,2,4,4,2,5,4,3,4,3,4,5,5,4,4,4,2,5,5,2,2,2,4,3,2,2,2,4,5,4,2,5,5,5,5,2,2,5,5,3,4,4,2,3,4,5,5,2,2,2,3,2,2,5,5,4,5,3,5,5,3,5,4,5,5,4,4,3,3,5,5,5,3,3,3,3,5,4,4,5,5,5,3,2,2,2,3,2,2,5,4,2,2,5,5,3,4,2,2,4,5,3,3,4,3,4,3,2,5,5,5,4,3,5,5,5,5,5,5,5,5,3,5,5,5,4,5,5,2,4,4,5,5,3,2,5,5,3,5,5,2,2,2,2,2,2,5,4,2,2,2,3,5,3,2,2,3,5,4,5,5,3,3,5,4,2,5,5,2,5,5,2,2,5,5,2,3,5,5,5,3,3,4,4,5,2,2,3,2,5,4,5,5,4,5,2,2,2,2,4,3,3,5,4,4,5,4,4,5,3,3,4,5,5,5,4,5,5,5,5,4,4,2,2,2,3,2,2,4,2,2,2,2,3,2,2,5,5,2,3,3,5,5,2,2,3,5,5,5,5,3,3,5,4,2,3,5,5,5,5,3,3,3,2,2,2,3,4,3,4,5,5,3,3,5,4,5,3,3,3,2,5,5,5,3,2,3,2,3,4,4,5,4,2,4,5,5,5,4,5,5,5,5,4,4,3,4,5,5,5,5,4,5,5,2,2,2,2,2,2,2,3,5,5,3,4,5,4,4,3,5,5,2,4,5,3,2,3,5,4,5,4,2 -4,3,2,2,3,4,2,3,5,3,3,5,5,2,2,4,3,5,5,2,5,5,4,3,3,4,2,2,2,2,2,3,4,4,4,5,4,3,2,4,5,4,5,5,4,4,4,2,2,2,2,4,4,2,2,2,2,3,4,4,5,5,5,5,4,5,5,4,3,3,3,2,2,2,5,4,3,5,3,4,3,2,4,3,4,5,4,5,5,3,3,2,3,5,4,5,5,3,2,5,5,3,2,2,4,5,5,5,5,4,3,2,2,2,3,5,3,2,2,2,2,3,5,2,2,4,5,5,5,3,2,2,2,5,5,4,2,4,5,4,5,3,2,2,5,5,4,4,3,4,4,4,4,3,2,4,5,4,3,5,4,2,3,5,5,3,5,5,3,4,5,3,5,4,4,5,5,5,4,4,2,4,5,5,3,2,3,2,2,2,2,2,2,2,2,2,3,5,3,2,4,5,3,3,5,3,2,2,2,4,5,5,5,4,2,2,2,3,5,4,3,3,5,5,5,3,2,3,2,5,5,4,5,3,2,3,5,4,4,5,5,4,5,5,2,2,2,2,5,5,4,5,3,2,3,3,2,2,2,2,2,3,3,3,5,4,5,5,2,2,2,5,5,5,5,5,5,4,3,3,5,3,4,4,2,3,5,4,2,5,5,4,5,4,5,5,5,5,5,5,2,4,5,5,5,5,4,2,2,2,4,2,2,3,3,3,2,4,5,4,5,4,3,3,3,4,3,2,3,5,5,5,5,3,5,5,2,4,5,5,3,3,4,2,2,2,5,5,5,5,2,2,3,5,4,2,2,3,3,4,5,5,4,4,4 -5,4,2,5,5,4,4,4,3,2,2,5,5,4,4,3,5,5,5,3,2,2,3,5,2,3,5,5,4,2,2,3,5,4,5,5,3,5,4,4,5,4,5,4,5,5,3,4,3,3,3,4,4,2,3,3,2,3,4,2,3,5,5,5,3,3,3,2,2,3,3,2,4,4,3,5,4,4,3,4,5,3,5,5,5,5,2,3,4,5,5,5,5,2,2,2,4,5,3,3,3,2,2,2,2,2,2,2,5,5,2,3,5,3,2,2,2,2,2,5,4,2,2,4,4,4,5,3,5,5,2,2,3,3,4,5,3,2,2,4,5,3,3,5,4,3,3,2,5,5,2,2,3,3,2,2,2,2,3,5,5,3,2,2,2,4,4,5,4,2,2,2,2,2,3,3,2,2,5,5,5,5,4,3,5,5,2,3,4,2,4,5,5,5,2,2,2,3,5,5,5,5,3,2,3,5,5,5,3,2,4,3,4,5,5,5,3,2,2,2,4,5,5,4,3,4,4,5,5,5,5,2,4,5,2,2,2,2,2,5,5,3,3,4,5,5,4,4,5,3,3,4,4,3,3,3,2,5,5,2,3,5,4,3,3,3,5,5,3,3,5,5,4,4,3,5,5,5,5,2,2,3,4,4,4,5,5,5,5,4,5,4,2,3,2,2,5,4,2,3,2,2,4,2,2,4,5,3,2,4,4,4,4,3,2,2,5,4,2,3,2,3,4,4,5,5,5,4,2,2,2,2,5,5,2,2,2,2,2,3,4,2,2,3,2,4,5,2,2,2,5,5,5,5,3,5,4,3,4,5,4,4,5,3,4 -5,3,3,3,4,5,4,5,5,3,5,4,2,2,2,3,5,4,4,5,5,5,2,2,2,5,5,3,5,2,2,2,2,3,3,2,5,5,2,2,3,5,3,2,2,2,2,2,2,4,4,4,5,5,5,4,3,4,5,3,5,5,2,5,5,2,4,5,4,3,3,5,4,2,2,5,5,4,5,2,3,5,4,4,2,4,4,2,3,2,3,3,3,2,4,5,2,3,5,4,3,5,5,3,4,4,4,4,5,5,3,3,2,2,4,3,2,3,2,2,2,2,2,2,2,4,5,4,3,3,2,2,4,2,2,2,2,4,4,5,4,3,4,5,4,2,2,2,2,2,5,5,4,4,2,3,2,5,5,2,2,3,3,2,2,5,5,5,5,2,4,4,2,3,4,2,3,3,4,3,4,4,3,5,4,5,4,5,5,4,5,3,2,2,3,2,3,5,4,3,3,3,4,4,3,5,5,2,2,3,2,3,2,2,3,4,5,5,5,3,3,4,5,3,2,5,5,4,5,5,3,4,5,4,4,4,4,3,3,3,3,3,3,5,4,2,4,5,5,5,5,5,5,3,2,5,5,5,5,3,2,4,5,2,2,3,2,4,5,3,3,4,5,4,5,5,4,5,5,5,5,5,4,4,4,4,2,2,3,5,4,2,3,3,3,2,2,2,3,3,2,3,4,4,3,3,5,5,5,5,4,2,2,4,4,2,2,3,5,5,2,3,4,4,3,5,4,2,5,4,5,5,2,2,2,2,2,3,5,4,2,2,2,2,2,3,5,5,5,3,2,2,2,4,3,5,5,2,2,4,5,3,5,5,2 -4,4,2,2,2,3,4,3,3,3,5,5,2,5,5,2,3,5,5,4,4,2,3,4,4,4,3,3,2,3,3,4,4,4,3,2,2,2,3,3,5,5,4,2,2,5,5,3,4,5,5,4,4,5,4,4,4,4,5,4,2,4,4,3,3,3,5,5,4,3,4,3,2,3,2,4,5,4,5,5,3,5,5,5,4,2,5,5,3,2,2,4,4,2,3,4,4,3,4,5,4,3,2,3,2,2,3,2,4,4,2,2,2,2,5,5,5,5,5,4,2,3,4,5,5,5,4,3,2,2,2,4,5,4,5,4,3,4,5,5,3,3,3,2,3,3,3,4,4,5,5,5,5,4,4,5,3,2,4,5,5,3,3,5,4,5,5,2,3,5,5,3,3,5,5,5,5,5,4,5,5,2,5,5,5,5,2,2,2,2,3,5,5,3,2,2,2,4,5,4,3,4,4,3,4,5,4,5,5,2,3,4,5,4,3,5,3,3,4,3,2,2,2,2,2,2,3,4,5,5,5,5,5,2,2,3,2,3,5,5,4,4,3,5,5,2,2,3,2,3,5,4,3,2,4,4,2,2,5,5,2,5,5,2,4,3,2,4,2,2,2,2,3,4,5,2,2,3,3,3,2,3,4,4,4,3,2,4,3,2,3,2,2,2,5,4,2,2,2,5,4,2,2,2,3,5,5,5,4,3,2,3,5,4,3,4,5,3,2,2,2,3,5,5,5,5,3,2,2,4,4,2,2,2,2,2,5,5,3,2,2,2,4,4,2,3,2,2,2,2,3,3,5,5,5,5,4,4,3,4,2,2,5,5,2 -2,3,3,5,4,5,5,5,5,2,2,4,3,2,3,5,5,2,2,2,5,5,3,4,5,5,5,5,3,3,5,4,2,3,5,4,4,3,2,5,5,5,5,3,2,5,5,3,3,5,5,3,5,4,2,2,4,5,5,4,2,2,5,4,2,2,3,5,5,3,2,4,5,3,2,5,5,5,4,3,3,2,2,2,2,2,2,2,2,2,2,2,5,5,3,4,3,4,3,3,3,3,5,4,4,2,2,4,3,3,5,4,4,5,2,5,5,2,2,2,3,2,3,2,2,3,5,5,2,5,5,2,2,3,4,4,5,5,4,4,3,4,4,2,2,2,3,4,2,3,4,3,4,5,4,2,2,2,3,4,2,2,3,3,4,2,2,4,3,5,5,2,2,2,2,4,4,3,3,2,5,5,4,4,4,3,3,5,3,2,2,2,3,5,4,4,4,2,3,5,5,2,2,3,3,2,2,2,2,2,5,5,2,3,2,2,4,5,4,4,5,4,2,3,5,5,3,2,2,2,2,4,4,5,5,2,5,5,5,5,2,2,2,2,2,2,3,3,3,3,3,5,5,4,3,5,5,3,2,2,2,2,4,5,4,5,4,2,2,2,3,2,2,2,2,2,5,4,2,3,2,2,2,4,3,2,3,2,2,3,3,2,4,5,3,3,4,5,5,5,5,3,3,2,2,4,3,4,5,5,3,2,5,5,2,2,4,3,3,4,5,5,5,5,5,5,3,3,3,2,2,2,2,2,3,3,2,2,4,5,2,2,3,3,2,3,5,4,5,5,4,5,5,5,5,2,4,5,4,5,4,5,5,5,3 -2,5,5,4,4,3,2,5,5,5,5,2,2,3,3,4,5,3,5,5,4,4,4,5,5,4,3,5,4,3,5,5,4,4,5,5,3,3,5,5,3,3,4,3,3,5,3,2,4,5,4,2,2,3,2,2,2,2,4,3,3,5,5,5,5,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,3,5,5,2,2,3,5,5,2,2,3,3,3,2,3,5,5,3,2,2,2,3,4,2,2,4,5,5,5,4,5,5,2,4,4,3,5,4,3,4,3,3,4,2,3,5,5,4,4,5,3,4,4,3,5,3,2,2,3,3,2,2,2,2,2,5,4,2,4,4,4,5,2,2,3,2,5,5,3,3,3,5,5,4,5,5,5,3,5,5,2,2,2,4,2,2,2,2,2,2,3,2,4,5,5,3,3,5,4,4,2,2,2,2,4,2,4,5,3,2,4,5,5,5,2,5,5,2,5,5,3,4,4,3,5,4,3,5,3,5,5,5,5,3,5,4,3,4,5,5,5,4,3,5,4,3,5,5,5,5,4,2,2,2,2,5,4,2,2,2,5,5,5,5,3,5,3,4,5,3,2,2,2,2,4,4,3,3,4,5,5,4,5,5,5,4,4,5,4,4,2,2,4,3,4,5,5,5,3,2,2,5,5,3,5,5,4,3,2,4,4,2,3,4,4,2,5,5,2,3,5,5,3,4,3,2,2,3,3,2,2,3,5,5,5,4,2,2,2,2,4,4,3,5,3,3,5,3,3,5,5,5,5,4,2,3,5,5,5,4,3,2,2,4,5 -4,5,5,4,4,3,2,5,5,5,5,2,2,5,5,3,5,5,4,5,3,3,5,4,4,3,4,5,5,5,4,3,3,5,5,3,2,2,3,3,4,4,2,2,5,4,2,3,2,4,5,5,5,3,4,5,3,2,2,2,2,2,3,4,2,5,5,3,4,2,2,3,3,2,3,5,3,2,4,4,4,4,3,4,5,5,3,2,4,4,3,3,4,4,3,5,5,5,5,2,3,4,4,5,5,3,2,2,2,2,2,5,5,2,2,2,2,2,2,2,2,2,2,5,5,4,5,4,5,5,3,4,5,2,2,5,4,2,2,2,2,2,2,3,3,3,5,5,4,5,4,2,3,3,4,5,5,4,5,4,3,5,2,2,4,3,4,4,3,4,4,5,5,3,2,3,5,5,3,5,5,2,2,2,2,2,3,5,4,2,2,2,2,3,5,5,4,2,3,5,5,3,2,2,3,4,3,3,2,2,2,3,3,4,5,5,4,4,4,5,5,2,2,2,2,3,4,3,2,2,5,5,5,5,5,5,2,5,5,2,3,5,5,5,4,2,4,4,3,5,5,2,2,5,5,2,4,5,2,2,2,4,4,2,4,3,2,5,5,2,2,5,5,5,5,4,5,4,4,4,5,5,2,2,2,3,5,4,3,4,2,2,2,2,2,3,4,4,4,3,3,3,4,5,4,3,3,4,5,5,5,3,4,3,3,5,2,4,5,3,4,2,3,5,4,3,2,4,5,2,2,2,2,3,3,5,5,4,3,2,2,2,2,2,2,2,3,3,2,5,5,3,5,5,5,5,4,2,2,5,5,3,5,5,2 -5,5,4,4,2,3,4,5,4,2,3,3,2,5,4,2,2,3,5,4,3,3,5,4,3,5,5,2,3,4,2,2,3,5,4,3,4,4,3,4,4,4,4,5,4,2,5,5,4,3,5,5,2,2,5,5,3,3,4,4,2,2,2,3,5,3,2,5,5,4,5,4,2,2,2,2,3,5,4,2,4,5,5,4,5,5,2,3,4,3,5,5,5,5,5,5,2,5,5,2,2,3,4,3,3,5,4,5,4,5,5,2,2,3,5,3,5,5,2,2,5,5,3,4,5,3,2,3,4,4,4,5,4,2,2,3,3,4,5,4,4,5,5,4,3,4,3,4,4,4,4,4,5,5,5,4,3,2,5,5,2,5,4,2,2,2,5,5,2,2,5,5,4,5,4,4,5,5,5,2,3,5,3,3,4,5,5,5,5,3,3,4,3,3,3,2,3,4,5,5,3,4,5,3,3,5,5,5,3,2,2,5,5,2,2,2,4,4,5,5,4,2,2,3,4,5,2,3,4,4,5,2,2,2,2,2,2,2,2,5,3,2,4,3,3,5,3,2,3,5,5,4,4,2,3,3,4,3,3,5,2,2,3,2,3,5,3,3,4,2,2,2,2,2,2,2,4,5,3,3,5,5,2,3,5,4,5,5,3,3,3,3,5,3,2,4,2,4,5,3,2,2,2,2,3,3,5,5,3,2,2,2,2,3,4,3,2,4,5,4,3,5,5,4,5,3,2,2,2,3,4,5,5,5,5,5,5,5,5,4,3,2,2,3,4,4,4,4,5,5,3,5,5,3,5,5,3,2,3,3,2,4,5,4,5 -3,2,2,3,5,5,5,5,3,3,5,5,4,4,4,3,4,2,2,4,3,2,5,5,2,2,2,2,2,4,4,2,3,3,4,3,2,3,3,4,5,5,5,3,4,5,2,5,5,3,5,5,5,4,2,2,4,5,3,3,5,3,3,5,4,4,3,2,3,4,5,5,5,5,4,5,4,3,2,4,5,2,3,5,5,4,3,5,5,4,4,2,3,3,3,5,3,2,5,5,5,4,3,3,5,5,4,5,3,2,4,3,2,5,4,5,5,2,3,3,2,3,3,3,5,5,2,2,4,4,2,2,4,2,3,5,5,4,3,4,5,5,5,4,3,5,4,2,3,4,4,2,2,3,2,2,3,5,5,4,5,5,4,4,4,5,5,5,5,5,5,4,4,5,5,2,2,5,4,4,5,2,2,4,5,3,3,5,4,3,5,5,3,3,5,4,2,5,3,2,3,3,4,5,5,3,4,5,3,5,5,4,4,2,4,5,3,5,4,2,5,5,5,4,2,2,3,5,3,2,2,2,3,3,5,5,4,3,3,5,5,3,5,5,4,4,2,3,4,2,3,4,3,5,5,5,4,4,5,3,4,5,3,3,2,2,5,5,4,4,5,3,3,4,2,2,3,4,5,4,5,5,3,4,5,4,3,5,5,4,4,3,2,3,4,4,3,2,5,4,3,5,2,2,2,3,4,5,5,2,4,4,2,3,4,2,2,2,2,5,5,2,3,3,4,5,2,2,2,4,5,2,2,5,5,5,4,3,4,2,4,4,2,2,2,2,3,5,4,5,5,5,5,3,2,4,5,4,2,2,4,4,3,4,5 -5,5,5,5,5,5,2,4,5,4,5,5,5,5,5,5,5,4,4,2,3,5,5,4,5,5,2,5,5,3,4,4,5,5,5,4,5,5,2,3,3,4,5,4,3,5,5,3,4,4,2,2,2,3,5,3,5,5,2,2,2,3,3,3,2,2,3,3,5,4,5,5,4,4,5,5,3,4,3,4,5,3,3,5,4,4,3,2,2,3,5,2,3,4,3,2,2,3,5,4,2,4,2,2,4,5,5,3,3,3,2,4,5,4,4,5,4,5,5,2,3,3,4,5,3,2,2,3,4,5,5,5,3,2,2,2,2,2,5,3,3,4,3,5,5,5,5,3,5,5,4,5,4,5,5,5,5,5,5,4,4,4,4,4,4,2,2,4,3,2,3,4,5,4,2,4,3,4,5,4,4,5,5,5,5,3,5,5,5,4,2,2,3,3,2,3,4,4,4,3,2,2,5,5,2,2,2,3,3,2,2,2,2,3,4,4,4,4,5,5,2,2,2,2,4,3,5,5,2,3,5,5,5,5,4,3,2,2,2,3,5,5,3,2,2,2,4,4,3,3,3,3,4,5,4,5,3,3,4,3,4,2,2,4,3,3,5,4,3,5,5,3,3,5,5,2,3,5,4,4,4,4,5,4,2,5,5,5,4,4,5,3,3,4,4,2,3,5,4,2,2,3,5,3,2,2,2,3,2,2,4,3,2,2,3,5,4,3,2,2,2,2,2,2,2,2,4,5,5,3,4,5,4,4,2,4,5,5,5,4,5,4,2,4,5,4,3,4,5,2,2,2,3,5,4,5,5,4,4,3,2,5,5,5,5 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0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)","(0, 0, 0, 0, 0)" +total PO :,68,total FO :,256 +PO rate :,0.0466,FO rate :,0.1753 diff --git a/tests/test_random_generator.py b/tests/test_random_generator.py index 3ef0015..043bc75 100644 --- a/tests/test_random_generator.py +++ b/tests/test_random_generator.py @@ -13,7 +13,7 @@ def test_geometric_law(output_directory): law = ProbilityLaw.GEOMETRIC volatility = 1 - generator.prepare_indispo_form_law(law, volatility, A, B, [10]) + generator.prepare_outage_duration_constant(law, volatility, A, B, [10]) expec = 0 nb_values = 45 @@ -44,7 +44,7 @@ def test_uniform_law(output_directory): law = ProbilityLaw.UNIFORM volatility = 1 - generator.prepare_indispo_form_law(law, volatility, A, B, [10]) + generator.prepare_outage_duration_constant(law, volatility, A, B, [10]) expec = 0 nb_values = 45 diff --git a/tests/test_ts_generator.py b/tests/test_ts_generator.py index 1ef6990..4ac7bad 100644 --- a/tests/test_ts_generator.py +++ b/tests/test_ts_generator.py @@ -1,11 +1,26 @@ import csv import pytest +from pathlib import Path + +from cluster_import import import_thermal_cluster from ts_generator import ThermalCluster, ProbilityLaw, ThermalDataGenerator +@pytest.fixture +def cluster_1(data_directory) -> Path: + return import_thermal_cluster(data_directory / "cluster_1.csv") + +@pytest.fixture +def cluster_100(data_directory) -> Path: + return import_thermal_cluster(data_directory / "cluster_100.csv") + +@pytest.fixture +def cluster_high_por(data_directory) -> Path: + return import_thermal_cluster(data_directory / "cluster_high_por.csv") + def test_one_unit_cluster(cluster_1, output_directory): - ts_nb = 10 + ts_nb = 4 generator = ThermalDataGenerator() output_series = [[0 for _ in range(365 * 24)] for __ in range(ts_nb)] @@ -52,26 +67,26 @@ def test_hundred_unit_cluster(cluster_100, output_directory): true_for = tot_fo / (365 * ts_nb * cluster_100.unit_count) #check the max PO - tots_po = [[] for _ in range(ts_nb)] + tots_simult_po = [[] for _ in range(ts_nb)] cursor = [0] * 10 - tot_po = 0 + tot_simult_po = 0 for i in range(365 * ts_nb): po = output_outages[i // 365][i % 365][0] mo = output_outages[i // 365][i % 365][2] - tot_po += po - tot_po += mo - tot_po -= cursor.pop(0) + tot_simult_po += po + tot_simult_po += mo + tot_simult_po -= cursor.pop(0) cursor.append(0) cursor[1] += po cursor[9] += mo if i > 10: - assert tot_po <= cluster_100.npo_max[i % 365] - assert tot_po >= cluster_100.npo_min[i % 365] + assert tot_simult_po <= cluster_100.npo_max[i % 365] + assert tot_simult_po >= cluster_100.npo_min[i % 365] - tots_po[i // 365].append(tot_po) + tots_simult_po[i // 365].append(tot_simult_po) with open(output_directory / "test_100_unit_cluster.csv", "w") as file: writer = csv.writer(file, delimiter=',', quotechar='"') @@ -86,4 +101,59 @@ def test_hundred_unit_cluster(cluster_100, output_directory): writer.writerow(["PO rate :", round(true_por, 4), "FO rate :", round(true_for, 4)]) writer.writerow(["total simultaneous PO :"]) - writer.writerows(tots_po) + writer.writerows(tots_simult_po) + + +def test_max_po(cluster_high_por, output_directory): + ts_nb = 4 + + generator = ThermalDataGenerator() + output_series = [[0 for _ in range(365 * 24)] for __ in range(ts_nb)] + output_outages = [[0 for _ in range(365)] for __ in range(ts_nb)] + + generator.generate_time_series(cluster_high_por, ts_nb, output_series, output_outages) + + tot_po = 0 + tot_fo = 0 + for i in range(365 * ts_nb): + tot_po += output_outages[i // 365][i % 365][0] * 2 + tot_fo += output_outages[i // 365][i % 365][1] * 8 + true_por = tot_po / (365 * ts_nb * cluster_high_por.unit_count) + true_for = tot_fo / (365 * ts_nb * cluster_high_por.unit_count) + + #check the max PO + tots_simult_po = [[] for _ in range(ts_nb)] + cursor = [0] * 10 + tot_simult_po = 0 + for i in range(365 * ts_nb): + po = output_outages[i // 365][i % 365][0] + mo = output_outages[i // 365][i % 365][2] + + tot_simult_po += po + tot_simult_po += mo + tot_simult_po -= cursor.pop(0) + + cursor.append(0) + cursor[1] += po + cursor[9] += mo + + if i > 10: + assert tot_simult_po <= cluster_high_por.npo_max[i % 365] + assert tot_simult_po >= cluster_high_por.npo_min[i % 365] + + tots_simult_po[i // 365].append(tot_simult_po) + + with open(output_directory / "test_high_por_cluster.csv", "w") as file: + writer = csv.writer(file, delimiter=',', quotechar='"') + + writer.writerow(["timeseries :"]) + writer.writerows([[line[i] for i in range(0, len(line), 24)] for line in output_series]) + + writer.writerow(["outage duration ([POD, FOD]) :"]) + writer.writerows(output_outages) + + writer.writerow(["total PO :", tot_po, "total FO :", tot_fo]) + writer.writerow(["PO rate :", round(true_por, 4), "FO rate :", round(true_for, 4)]) + + writer.writerow(["total simultaneous PO :"]) + writer.writerows(tots_simult_po)