From eec8b960ea3eb842adaaa160f268bacd791adf82 Mon Sep 17 00:00:00 2001 From: Joseph Montanaro Date: Sun, 9 Dec 2018 22:42:42 -0800 Subject: [PATCH] days 7 and 8 --- 2018/07.py | 87 ++++++++++++++++++++++++++++++++++++---- 2018/08.py | 46 +++++++++++++++++++++ 2018/data/07.txt | 101 +++++++++++++++++++++++++++++++++++++++++++++++ 2018/data/08.txt | 1 + 4 files changed, 227 insertions(+), 8 deletions(-) create mode 100644 2018/08.py create mode 100644 2018/data/07.txt create mode 100644 2018/data/08.txt diff --git a/2018/07.py b/2018/07.py index f5af581..435e073 100644 --- a/2018/07.py +++ b/2018/07.py @@ -1,11 +1,82 @@ -class BuildTree: - def __init__(self): - self.tree = {} - self.in_tree = set() +from collections import defaultdict +import re +import string - def _add_root(self, item): - self.tree[item] = {} - def _add_leaf(self, leaf, branch): - b = +def get_first(steps): + for step, deps in steps.items(): + if len(deps) == 0: + return step + +with open('data/07.txt') as f: + regexp = re.compile('Step (.) must be finished before step (.) can begin.') + data = [regexp.match(line).groups() for line in f] + + +requires = {} +for before, after in data: + if before not in requires: + requires[before] = set() + if after not in requires: + requires[after] = set() + requires[after].add(before) + +workers = [] + + +incomplete = {s: set(d) for s, d in requires.items()} +complete = [] +available = set() +while len(incomplete): + for step, deps in incomplete.items(): + if len(deps) == 0: + available.add(step) + + s = sorted(available)[0] + complete.append(s) + for deps in incomplete.values(): + if s in deps: + deps.remove(s) + available.remove(s) + del incomplete[s] + +print(f'Part 1: {"".join(complete)}\n') + + +step_times = {c: 61 + i for i, c in enumerate(string.ascii_uppercase)} +unattempted = {s: set(d) for s, d in requires.items()} +complete = [] +available = set() +running = set() +workers = [(None, 0) for i in range(5)] +time = -1 +while len(unattempted) or len(running): + time += 1 + for i, (s, t) in enumerate(workers): + if s and (time - step_times[s] - t == 0): + complete.append(s) + running.remove(s) + for deps in unattempted.values(): + if s in deps: + deps.remove(s) + workers[i] = (None, 0) + + for step, deps in unattempted.items(): + if len(deps) == 0: + available.add(step) + + ordered_steps = sorted(available) + for i, (s, t) in enumerate(workers): + if s is None: + try: + new_step = ordered_steps.pop(0) + workers[i] = (new_step, time) + del unattempted[new_step] + available.remove(new_step) + running.add(new_step) + except IndexError: + pass + + +print(f'Part 2: {time}\n') diff --git a/2018/08.py b/2018/08.py new file mode 100644 index 0000000..7a716d6 --- /dev/null +++ b/2018/08.py @@ -0,0 +1,46 @@ +with open('data/08.txt') as f: + data = [int(n) for n in f.read().split()] + + +all_meta = [] + +def parse(data): + (children, meta_count), data = data[:2], data[2:] + tree = { + 'children': [], + 'metadata': [] + } + + for i in range(children): + child, data = parse(data) + tree['children'].append(child) + + for i in range(meta_count): + m = data.pop(0) + all_meta.append(m) + tree['metadata'].append(m) + + return tree, data + + +tree, _ = parse(data) + +print(f'Part 1: {sum(all_meta)}\n') + + +def value(node): + children, metadata, = node['children'], node['metadata'] + if len(children) == 0: + return sum(metadata) + + child_values = [] + for i in metadata: + if i == 0: + continue + try: + child_values.append(value(children[i - 1])) + except IndexError: + pass + return sum(child_values) + +print(f'Part 2: {value(tree)}\n') diff --git a/2018/data/07.txt b/2018/data/07.txt new file mode 100644 index 0000000..c2686c7 --- /dev/null +++ b/2018/data/07.txt @@ -0,0 +1,101 @@ +Step T must be finished before step X can begin. +Step G must be finished before step O can begin. +Step X must be finished before step B can begin. +Step I must be finished before step W can begin. +Step N must be finished before step V can begin. +Step K must be finished before step H can begin. +Step S must be finished before step R can begin. +Step P must be finished before step J can begin. +Step L must be finished before step V can begin. +Step D must be finished before step E can begin. +Step J must be finished before step R can begin. +Step U must be finished before step W can begin. +Step M must be finished before step Q can begin. +Step B must be finished before step F can begin. +Step F must be finished before step E can begin. +Step V must be finished before step Q can begin. +Step C must be finished before step A can begin. +Step H must be finished before step Z can begin. +Step A must be finished before step Y can begin. +Step O must be finished before step Y can begin. +Step W must be finished before step Q can begin. +Step E must be finished before step Y can begin. +Step Y must be finished before step Z can begin. +Step Q must be finished before step R can begin. +Step R must be finished before step Z can begin. +Step S must be finished before step E can begin. +Step O must be finished before step W can begin. +Step G must be finished before step B can begin. +Step I must be finished before step N can begin. +Step G must be finished before step I can begin. +Step H must be finished before step R can begin. +Step N must be finished before step C can begin. +Step M must be finished before step W can begin. +Step Y must be finished before step R can begin. +Step T must be finished before step B can begin. +Step G must be finished before step D can begin. +Step J must be finished before step O can begin. +Step I must be finished before step A can begin. +Step J must be finished before step H can begin. +Step T must be finished before step Y can begin. +Step N must be finished before step H can begin. +Step B must be finished before step V can begin. +Step M must be finished before step R can begin. +Step Y must be finished before step Q can begin. +Step X must be finished before step J can begin. +Step A must be finished before step E can begin. +Step P must be finished before step Z can begin. +Step P must be finished before step C can begin. +Step N must be finished before step Q can begin. +Step A must be finished before step O can begin. +Step G must be finished before step X can begin. +Step P must be finished before step U can begin. +Step T must be finished before step S can begin. +Step I must be finished before step V can begin. +Step V must be finished before step H can begin. +Step U must be finished before step F can begin. +Step D must be finished before step Q can begin. +Step D must be finished before step O can begin. +Step G must be finished before step H can begin. +Step I must be finished before step Z can begin. +Step N must be finished before step D can begin. +Step B must be finished before step Y can begin. +Step J must be finished before step M can begin. +Step V must be finished before step Y can begin. +Step W must be finished before step Y can begin. +Step E must be finished before step Z can begin. +Step T must be finished before step N can begin. +Step L must be finished before step U can begin. +Step S must be finished before step A can begin. +Step Q must be finished before step Z can begin. +Step T must be finished before step F can begin. +Step F must be finished before step Z can begin. +Step J must be finished before step C can begin. +Step X must be finished before step Y can begin. +Step K must be finished before step V can begin. +Step T must be finished before step I can begin. +Step I must be finished before step O can begin. +Step C must be finished before step W can begin. +Step B must be finished before step Q can begin. +Step W must be finished before step Z can begin. +Step D must be finished before step H can begin. +Step K must be finished before step A can begin. +Step M must be finished before step E can begin. +Step T must be finished before step U can begin. +Step I must be finished before step J can begin. +Step O must be finished before step Q can begin. +Step M must be finished before step Z can begin. +Step U must be finished before step C can begin. +Step N must be finished before step F can begin. +Step C must be finished before step H can begin. +Step X must be finished before step E can begin. +Step F must be finished before step O can begin. +Step P must be finished before step O can begin. +Step J must be finished before step A can begin. +Step H must be finished before step Y can begin. +Step A must be finished before step Q can begin. +Step V must be finished before step Z can begin. +Step S must be finished before step L can begin. +Step H must be finished before step E can begin. +Step X must be finished before step I can begin. +Step O must be finished before step R can begin. diff --git a/2018/data/08.txt b/2018/data/08.txt new file mode 100644 index 0000000..1c2c69b --- /dev/null +++ b/2018/data/08.txt @@ -0,0 +1 @@ +9 11 7 3 4 4 3 7 1 8 0 7 7 6 4 8 1 3 3 3 2 2 3 3 3 2 1 1 7 0 9 1 2 4 6 1 3 1 5 2 1 3 2 3 3 1 1 1 9 0 11 5 1 7 7 8 1 3 3 5 2 3 3 3 1 1 3 2 2 1 1 4 5 2 2 2 2 4 3 4 1 6 0 7 5 1 8 1 4 6 1 3 1 3 2 3 1 1 5 0 6 1 1 4 1 9 1 1 3 1 1 2 1 9 0 10 2 2 8 2 7 1 7 1 5 1 3 2 1 2 2 2 2 1 2 3 2 4 3 3 5 1 6 0 7 1 9 6 1 8 5 2 1 3 1 1 1 2 1 9 0 11 3 1 6 3 2 3 6 9 3 6 4 1 3 2 1 3 2 2 2 1 1 8 0 11 3 2 6 7 1 7 3 6 6 3 6 1 3 2 1 2 3 3 1 1 3 2 4 4 3 6 1 7 0 9 5 8 4 1 5 8 9 2 8 1 2 3 1 3 3 2 1 5 0 10 5 8 5 3 9 1 1 1 5 7 3 3 3 1 1 1 6 0 6 1 1 4 8 5 2 1 3 1 3 3 3 1 2 3 2 1 1 2 6 3 2 5 3 3 7 1 7 0 8 3 6 3 2 2 1 1 2 1 3 3 3 3 1 2 1 6 0 6 1 4 1 9 8 9 1 2 3 3 3 2 1 8 0 9 7 2 3 1 2 1 8 4 9 1 2 2 2 2 1 1 3 5 1 1 2 3 5 2 3 5 1 8 0 7 4 6 2 8 8 1 3 2 3 1 3 1 1 1 3 1 8 0 9 1 4 8 4 5 2 9 9 6 2 2 1 1 2 3 1 3 1 9 0 6 6 2 3 9 7 1 2 1 1 2 2 3 3 2 2 2 2 4 2 3 3 4 1 7 0 9 1 2 5 6 7 1 1 2 5 2 3 1 1 3 2 2 1 5 0 6 2 3 8 1 1 4 2 1 3 3 1 1 5 0 9 7 7 6 9 4 1 7 7 2 3 1 1 1 3 5 1 3 3 3 4 1 6 0 8 3 2 1 7 1 1 5 4 2 2 2 2 1 3 1 6 0 9 1 5 5 9 1 4 8 7 6 3 3 1 3 2 1 1 6 0 8 5 5 3 4 3 3 1 1 1 2 3 1 1 2 2 1 4 3 3 6 1 5 0 7 8 8 4 1 7 6 8 3 3 1 2 1 1 7 0 8 1 5 3 9 8 9 4 4 3 2 1 3 3 1 3 1 9 0 9 1 3 6 1 3 4 2 1 3 2 1 2 1 2 2 3 1 3 1 5 4 3 4 2 4 1 1 4 5 3 6 1 6 0 10 6 4 8 2 3 1 7 6 4 1 1 2 3 2 1 2 1 5 0 8 4 5 6 8 6 9 1 1 1 3 1 2 1 1 7 0 7 2 4 2 6 6 3 1 2 3 1 3 1 1 3 2 4 2 1 1 5 3 6 1 8 0 9 1 9 1 6 2 4 4 6 1 1 2 2 3 1 1 1 1 1 7 0 7 5 1 4 4 5 1 6 1 3 1 1 3 1 3 1 8 0 9 7 5 7 6 4 3 1 7 8 2 1 1 1 1 3 1 1 2 1 4 2 2 4 3 7 1 5 0 7 7 9 5 7 1 2 5 2 3 2 1 1 1 9 0 11 2 1 1 4 9 8 2 6 7 2 1 2 3 1 2 1 1 1 1 2 1 7 0 11 8 6 3 6 4 1 1 2 5 2 3 3 1 1 2 3 3 1 1 1 5 1 2 1 3 3 7 1 8 0 9 5 2 5 1 3 5 6 6 8 2 1 1 3 3 3 2 1 1 9 0 7 2 2 1 6 1 7 5 1 1 2 2 1 2 2 2 3 1 6 0 7 1 1 8 8 5 5 6 1 3 3 1 2 1 2 5 4 1 2 5 4 3 5 3 3 4 4 4 3 6 1 5 0 11 2 1 2 4 1 7 5 1 1 3 1 3 1 3 1 3 1 8 0 9 1 2 1 1 8 6 6 7 6 1 3 2 2 3 3 2 3 1 5 0 11 8 1 5 7 4 3 8 1 3 8 9 1 3 1 2 1 5 1 3 3 2 2 3 4 1 9 0 11 8 1 2 9 3 2 5 9 7 7 6 1 2 2 1 3 2 1 3 2 1 5 0 8 5 4 2 8 6 5 1 1 2 1 1 3 3 1 7 0 7 1 1 4 3 1 8 6 1 1 3 2 2 3 2 1 2 3 3 3 7 1 9 0 8 3 6 7 7 4 7 1 3 2 1 2 1 2 3 3 1 3 1 7 0 11 4 1 1 1 1 2 6 3 1 4 7 2 3 1 3 3 2 1 1 7 0 6 5 4 1 6 6 4 3 1 3 1 2 1 1 1 2 5 5 4 2 1 3 5 1 7 0 6 6 1 7 1 5 7 2 2 1 1 1 1 1 1 9 0 7 8 1 4 6 2 7 3 3 1 1 2 2 1 3 3 3 1 7 0 7 8 6 2 1 6 7 4 2 2 2 2 1 3 3 4 4 1 4 3 4 6 4 2 5 3 3 7 1 7 0 7 1 7 7 2 1 7 1 2 1 3 2 1 1 2 1 8 0 9 9 5 6 6 7 7 3 8 1 3 3 1 2 3 1 2 1 1 6 0 7 1 4 8 1 4 9 5 1 1 3 1 1 3 4 3 4 3 1 3 5 3 4 1 5 0 8 4 7 7 5 3 5 1 4 1 1 3 2 1 1 8 0 11 9 7 8 2 2 5 1 2 1 8 1 1 1 3 1 1 1 1 2 1 8 0 11 6 9 7 2 7 1 7 4 2 4 3 2 1 2 1 3 1 3 2 1 1 2 2 3 7 1 7 0 11 7 3 3 9 3 9 4 1 2 1 8 1 1 1 2 1 3 1 1 8 0 10 8 1 1 4 3 4 1 2 6 7 2 3 1 1 2 2 3 2 1 6 0 11 8 3 5 1 2 8 2 7 4 5 6 1 3 3 1 2 1 2 3 3 5 2 1 3 3 7 1 8 0 11 9 8 6 7 7 1 2 2 9 1 1 3 3 3 2 3 3 1 3 1 9 0 10 2 5 7 1 7 3 9 5 1 1 3 1 1 1 2 2 3 1 3 1 6 0 6 1 9 2 8 4 7 2 1 2 2 1 2 3 4 4 5 1 5 1 3 5 1 5 0 8 8 8 7 1 3 7 5 9 1 1 3 1 1 1 6 0 7 5 3 1 1 5 7 2 2 1 3 1 1 3 1 6 0 11 1 5 6 7 1 9 6 4 5 7 4 2 1 3 3 3 1 3 2 3 1 1 1 3 1 5 3 3 7 1 9 0 10 8 5 3 8 1 6 5 2 7 8 3 1 2 1 3 3 1 2 3 1 8 0 9 5 6 1 6 6 2 6 7 8 2 2 1 2 3 3 1 1 1 8 0 6 3 7 8 1 1 1 3 3 1 1 1 2 1 3 2 4 5 1 3 4 5 3 6 1 7 0 10 1 2 7 2 7 3 7 9 1 4 3 1 1 3 2 2 1 1 8 0 10 2 1 5 1 5 4 3 3 6 6 1 3 3 2 1 1 1 1 1 9 0 7 2 1 9 9 9 5 9 2 3 3 3 1 3 3 1 3 1 1 4 3 5 1 3 6 1 8 0 10 6 4 8 3 1 7 4 8 3 9 1 1 3 1 3 1 3 1 1 7 0 6 9 5 1 1 7 8 2 3 1 2 3 3 2 1 5 0 7 7 8 7 4 4 8 1 1 1 2 3 2 1 5 1 1 3 1 3 7 1 9 0 11 1 8 3 9 7 2 8 1 1 5 8 3 1 1 2 1 2 3 1 3 1 6 0 6 6 1 3 2 7 1 3 3 1 2 1 3 1 8 0 8 8 1 3 4 2 2 1 3 1 1 1 1 1 1 3 1 2 2 4 5 2 5 3 3 7 1 9 0 9 4 7 1 3 6 1 6 5 3 1 3 3 2 2 1 3 1 2 1 9 0 9 2 7 4 5 1 9 1 5 1 1 1 3 1 2 3 1 2 1 1 7 0 6 6 5 5 2 8 1 3 2 1 1 3 2 2 2 5 3 5 3 2 2 1 5 1 5 5 3 5 1 6 0 9 3 8 1 2 6 1 2 4 1 1 2 1 2 1 3 1 8 0 7 4 5 4 9 7 8 1 2 1 2 1 2 1 2 1 1 6 0 7 5 3 6 8 8 8 1 1 1 3 1 3 2 4 2 5 1 4 3 5 1 6 0 8 3 4 8 7 1 7 7 2 1 1 3 2 1 2 1 9 0 9 6 1 1 9 7 9 5 4 2 1 2 1 2 2 2 1 1 1 1 6 0 9 6 5 3 1 9 5 2 8 4 2 2 2 3 3 1 4 3 2 3 3 3 5 1 7 0 11 4 9 4 1 8 8 1 9 3 4 4 1 1 1 3 1 2 1 1 8 0 6 2 9 1 2 4 2 2 2 3 1 2 3 1 2 1 7 0 10 1 1 7 5 7 7 2 6 3 7 3 1 3 2 3 2 3 2 4 1 4 3 3 7 1 5 0 11 2 4 2 9 4 2 4 1 7 5 3 3 1 2 1 3 1 7 0 7 1 5 6 9 7 5 7 1 3 3 3 2 2 1 1 7 0 10 8 9 9 2 1 2 3 9 3 8 1 2 1 2 1 3 2 2 2 3 2 3 5 3 3 5 1 7 0 10 6 8 5 1 5 8 4 3 1 3 1 1 1 2 1 2 1 1 5 0 11 8 4 5 5 9 1 4 1 8 6 5 1 1 3 3 3 1 5 0 11 1 3 8 7 2 7 8 3 6 6 6 2 3 1 1 2 2 2 1 4 1 3 1 4 4 5 5 6 4 6 3 4 4 3 7 1 8 0 6 9 8 1 5 7 1 3 1 3 1 1 3 2 2 1 5 0 11 9 1 1 8 7 6 4 9 3 9 6 3 2 1 2 3 1 8 0 7 6 7 6 5 1 6 2 3 2 1 2 1 2 1 1 3 2 2 4 3 3 2 3 6 1 8 0 11 6 6 1 9 8 2 7 5 4 4 1 3 2 2 2 3 1 1 3 1 7 0 11 4 3 4 2 1 9 1 2 2 4 4 1 2 1 1 3 2 1 1 7 0 11 6 4 2 7 3 8 8 6 3 1 6 3 3 1 3 1 1 2 2 1 5 2 2 4 3 5 1 6 0 10 1 8 3 5 8 9 3 3 1 5 2 1 2 2 3 3 1 5 0 7 5 3 4 2 1 3 1 1 2 1 1 1 1 8 0 10 5 1 6 8 5 2 4 7 8 8 1 1 2 3 2 1 1 3 5 4 3 1 5 3 5 1 8 0 9 1 1 8 8 2 1 8 3 8 3 2 2 1 1 3 1 3 1 5 0 11 9 9 9 2 1 1 9 5 2 6 3 3 1 1 2 1 1 9 0 7 8 2 1 1 9 2 9 2 1 1 1 1 1 2 1 2 5 3 2 1 5 3 4 4 3 5 4 3 6 1 5 0 6 9 1 1 4 6 6 1 3 1 1 3 1 7 0 10 9 4 6 5 2 1 6 1 1 5 1 1 3 3 1 1 1 1 5 0 8 1 2 8 2 1 8 3 8 1 2 2 1 1 2 5 3 1 2 2 3 7 1 6 0 8 8 1 1 6 3 2 6 9 3 1 1 3 2 3 1 6 0 6 9 4 2 1 9 8 2 1 1 3 3 1 1 7 0 11 6 9 3 5 9 1 6 9 8 8 8 1 3 3 2 1 1 1 3 1 4 5 5 1 5 3 5 1 9 0 8 1 3 2 1 9 2 1 3 3 2 1 1 2 1 2 2 3 1 7 0 9 2 1 9 6 6 8 1 7 3 1 1 2 3 1 3 1 1 8 0 11 6 6 6 8 6 8 6 1 7 9 3 3 2 3 1 1 2 2 2 2 1 5 4 5 3 4 1 6 0 10 8 1 5 4 7 3 2 6 7 9 2 1 3 1 2 2 1 9 0 11 6 4 9 8 1 1 5 1 6 7 4 1 3 2 2 3 3 3 1 1 1 6 0 10 6 2 1 8 9 8 5 2 5 5 1 3 1 1 3 1 2 2 1 1 3 5 1 8 0 10 6 7 5 1 5 3 7 4 1 6 2 3 2 3 1 1 1 1 1 8 0 10 6 6 1 3 4 3 3 6 1 6 1 2 2 2 3 2 3 2 1 8 0 8 4 1 9 1 7 3 4 6 2 1 1 1 1 1 3 3 3 1 4 4 4 1 2 2 2 4 3 3 4 1 8 0 6 2 1 9 4 9 4 2 1 3 3 1 3 3 3 1 8 0 7 5 5 1 5 6 7 1 1 3 2 2 1 1 3 2 1 8 0 10 2 5 8 7 7 4 1 4 5 1 2 2 3 3 1 2 3 2 5 3 2 2 3 7 1 6 0 8 3 2 7 2 1 8 1 5 2 2 2 1 2 2 1 8 0 6 7 5 5 1 2 7 1 3 2 3 2 3 1 3 1 9 0 8 9 9 2 2 6 9 2 1 1 2 1 1 1 2 2 2 3 3 3 1 2 4 1 5 3 5 1 8 0 6 8 2 5 1 4 3 3 1 1 1 3 2 2 3 1 6 0 6 9 3 1 1 7 4 1 1 2 3 2 2 1 5 0 7 4 2 2 5 1 7 6 1 1 3 3 2 1 1 1 2 3 3 7 1 7 0 7 5 1 5 3 6 3 7 2 3 3 1 2 3 2 1 9 0 11 3 6 6 4 1 5 4 2 5 9 1 2 3 1 3 2 3 1 1 2 1 7 0 11 7 7 6 9 6 9 6 3 8 1 4 1 1 1 1 1 2 3 3 5 1 4 2 2 1 3 3 2 4 3 3 6 1 5 0 9 5 7 1 8 9 3 6 7 5 3 1 1 3 3 1 6 0 11 7 6 6 6 2 7 1 3 4 8 7 3 2 1 2 2 2 1 5 0 7 2 4 6 7 1 1 8 3 1 1 1 3 3 4 5 2 4 3 3 6 1 7 0 7 3 1 2 1 7 2 7 1 3 1 2 2 3 2 1 9 0 6 8 2 1 6 3 6 3 2 3 1 2 2 1 3 1 1 5 0 10 7 8 3 1 6 4 4 3 4 2 3 1 1 3 1 1 2 1 1 1 3 3 7 1 6 0 8 6 3 2 6 1 2 8 5 2 1 1 1 3 2 1 5 0 10 7 8 4 5 5 3 4 5 1 9 2 1 3 2 1 1 8 0 6 4 3 1 9 6 5 3 1 2 3 2 3 3 2 2 3 2 1 3 5 3 3 4 1 8 0 6 3 7 4 7 1 9 2 1 1 1 1 1 2 2 1 5 0 7 5 2 9 1 8 5 7 3 3 2 1 2 1 8 0 6 4 5 1 5 4 4 2 1 1 3 1 2 1 3 1 4 1 2 4 5 5 5 3 3 4 1 8 0 7 8 5 3 5 1 5 1 1 1 2 3 1 2 1 1 1 8 0 7 4 3 4 9 6 1 2 1 1 2 3 1 3 2 3 1 5 0 8 8 4 1 9 1 2 5 1 2 1 1 1 1 4 1 5 1 3 4 1 9 0 9 5 3 3 7 1 6 7 7 1 3 2 3 1 3 3 1 1 3 1 9 0 8 1 5 6 9 7 8 2 6 2 1 1 1 3 3 1 2 3 1 8 0 6 8 4 8 1 3 5 3 1 3 3 3 1 2 2 1 1 4 3 3 7 1 8 0 7 2 6 8 9 9 1 9 3 2 1 2 1 2 1 2 1 9 0 8 3 3 9 4 7 1 5 1 2 3 1 1 1 2 1 3 1 1 9 0 9 3 1 4 1 4 3 3 5 7 1 1 1 3 2 1 2 1 1 3 1 2 3 1 4 5 3 5 1 9 0 8 8 9 1 9 1 5 1 8 1 3 3 2 1 1 2 2 3 1 9 0 7 7 6 1 1 1 2 9 1 3 2 2 1 1 3 2 3 1 8 0 6 1 8 2 9 8 8 1 2 3 1 2 2 3 1 2 4 2 2 3 3 5 1 7 0 11 6 3 3 8 1 6 3 9 5 1 8 1 1 1 3 1 3 1 1 9 0 9 3 4 9 4 7 1 1 5 5 3 2 1 3 3 3 2 3 3 1 8 0 11 1 9 6 4 7 2 5 3 8 4 5 1 3 2 1 1 1 3 1 5 4 2 3 3 6 6 3 5 4 3 7 1 8 0 7 1 4 3 9 1 7 9 2 2 1 1 3 2 2 2 1 7 0 11 5 4 4 2 8 6 6 1 7 3 9 2 1 1 1 1 1 3 1 5 0 10 1 2 8 1 2 3 6 2 3 3 1 3 1 2 3 5 5 2 3 3 4 3 3 5 1 9 0 9 1 4 7 3 5 9 9 7 1 1 2 2 1 1 3 1 2 2 1 8 0 6 4 9 1 2 5 3 1 1 3 2 1 3 2 1 1 6 0 9 7 1 4 8 8 1 1 5 2 2 3 2 1 3 1 3 2 2 5 1 3 7 1 9 0 10 2 3 1 9 1 1 9 1 9 9 3 1 1 3 1 3 2 1 2 1 9 0 11 5 1 1 4 2 6 5 1 8 7 1 2 3 1 3 2 3 1 1 3 1 9 0 8 9 4 1 7 9 3 4 2 3 3 3 1 1 2 1 1 1 5 3 3 1 5 3 3 3 4 1 9 0 10 8 7 2 5 1 3 7 4 1 5 2 2 2 2 1 3 2 2 3 1 9 0 9 1 7 2 8 6 8 6 1 8 1 2 2 1 1 3 1 3 3 1 7 0 10 8 5 6 2 7 7 1 9 5 4 1 2 3 3 1 2 2 1 2 3 1 3 6 1 9 0 11 5 1 4 3 1 4 1 9 8 2 4 1 2 1 1 1 1 3 2 2 1 6 0 10 5 3 1 9 9 2 4 3 1 9 3 3 1 1 1 1 1 7 0 8 3 1 7 2 7 8 4 1 2 1 1 1 2 2 1 1 3 2 4 4 2 3 3 5 2 1 4 5 6 2 4 4 3 4 1 9 0 11 6 9 8 4 9 1 1 8 5 5 2 3 1 3 1 1 2 1 2 1 1 6 0 9 7 3 1 5 7 1 3 1 9 2 3 1 2 1 2 1 8 0 10 1 7 2 3 1 3 2 4 1 9 3 3 2 1 1 2 2 2 4 2 4 4 3 7 1 8 0 7 8 1 3 3 2 8 1 3 2 1 1 1 3 1 1 1 6 0 10 1 5 5 9 3 6 2 6 7 4 1 1 1 2 2 2 1 6 0 7 4 1 3 4 4 4 8 1 1 1 3 2 1 1 5 1 1 1 3 5 3 4 1 8 0 6 5 2 2 3 1 7 3 3 2 3 2 1 1 2 1 7 0 7 5 3 3 6 1 1 1 1 2 3 2 2 1 1 1 9 0 6 2 5 1 5 1 2 3 2 1 2 2 1 2 1 3 4 5 1 4 3 7 1 9 0 7 3 4 1 7 5 6 8 1 3 3 1 1 3 3 2 2 1 6 0 10 1 7 6 8 6 8 1 9 3 7 1 2 2 1 2 3 1 8 0 9 5 8 4 3 9 1 7 7 3 3 3 2 3 2 1 2 2 3 4 3 1 5 2 1 3 2 6 2 5 4 3 7 1 6 0 6 8 6 1 2 8 7 2 3 3 1 1 2 1 9 0 6 3 7 5 3 1 1 1 1 3 3 2 1 3 2 2 1 7 0 10 2 7 1 3 1 1 2 6 6 4 2 1 3 1 3 3 2 2 2 4 1 2 1 5 3 7 1 7 0 10 9 8 2 5 8 8 6 5 2 1 3 2 2 2 1 3 1 1 6 0 6 1 9 1 9 6 3 1 3 1 2 1 1 1 7 0 8 4 5 3 1 2 6 9 6 1 3 3 1 1 2 3 1 3 1 4 1 1 2 3 4 1 8 0 6 9 2 7 8 1 5 1 1 1 1 1 1 1 1 1 6 0 11 3 2 6 7 2 5 3 1 7 6 2 2 1 1 1 3 2 1 8 0 9 1 2 6 6 2 3 5 7 3 1 3 2 1 2 2 3 1 4 1 2 2 3 4 1 7 0 6 9 1 3 4 8 7 3 2 3 1 2 1 2 1 7 0 10 2 1 9 3 5 2 8 1 1 9 3 1 2 3 1 1 1 1 9 0 9 7 8 8 9 1 2 9 4 2 2 1 1 1 1 1 3 1 2 2 2 4 1 3 7 1 7 0 10 2 3 8 1 9 1 3 1 8 2 3 1 1 1 1 2 3 1 8 0 11 1 1 5 8 5 1 6 2 2 8 1 3 3 3 2 1 1 2 3 1 7 0 8 4 5 2 3 1 7 4 5 1 2 3 2 2 1 2 3 4 1 2 3 1 1 5 3 3 7 5 5 3 6 1 7 0 9 5 4 1 4 6 4 6 7 1 1 1 1 2 2 2 3 1 7 0 6 9 2 9 7 5 1 2 1 3 1 3 3 2 1 6 0 11 8 2 2 2 9 1 1 5 1 5 7 2 1 2 3 3 2 2 4 5 4 5 2 3 4 1 7 0 7 3 1 3 4 3 4 2 1 3 3 3 2 3 2 1 5 0 9 3 9 3 7 9 1 8 2 4 2 3 3 1 2 1 8 0 11 4 9 1 2 3 6 4 4 3 2 4 1 3 3 2 2 1 3 3 1 2 5 3 3 4 1 6 0 8 4 1 8 1 9 6 9 6 1 3 1 1 1 1 1 7 0 9 6 1 8 1 8 8 6 8 6 2 2 1 3 2 2 2 1 6 0 8 4 5 1 1 4 6 3 9 3 1 2 3 3 2 2 3 3 2 3 5 1 7 0 9 8 9 7 9 1 2 8 1 5 2 1 2 1 3 2 1 1 8 0 6 6 1 5 3 7 6 1 1 2 3 3 2 3 1 1 5 0 11 4 4 1 6 2 5 6 1 8 2 7 3 3 1 1 2 2 3 3 2 2 3 7 1 8 0 10 1 8 3 3 5 7 1 3 7 2 3 2 3 3 3 1 3 1 1 5 0 10 1 4 9 1 9 6 5 9 6 4 1 2 2 3 1 1 5 0 6 3 2 9 8 5 1 1 1 1 1 3 5 4 2 4 5 3 3 6 1 7 5 5 5 5 3 4 1 8 0 7 4 9 7 9 1 6 4 3 1 2 2 3 3 1 1 1 9 0 11 7 8 9 6 3 4 3 3 3 2 1 2 1 2 1 1 3 2 1 1 1 9 0 10 8 5 1 8 1 4 7 8 4 1 2 1 3 3 2 2 1 2 2 1 3 4 5 3 6 1 6 0 9 9 8 8 1 6 8 1 2 1 1 3 1 2 1 3 1 7 0 6 5 8 3 5 9 1 2 2 1 1 2 1 2 1 9 0 7 1 7 7 5 5 7 7 2 2 1 3 1 1 3 3 2 2 2 4 4 1 1 3 7 1 6 0 8 8 1 5 9 4 3 7 3 1 1 1 1 1 1 1 6 0 6 1 1 9 7 7 4 2 1 2 2 1 1 1 6 0 6 4 9 7 1 2 9 2 3 1 1 1 1 3 5 5 3 5 1 2 3 7 1 9 0 7 1 1 9 7 8 1 2 1 3 3 3 1 2 1 3 3 1 8 0 6 5 9 6 2 6 1 2 1 3 2 2 3 1 3 1 9 0 8 5 9 4 1 1 5 3 9 1 3 3 2 1 1 1 1 2 4 3 1 2 5 2 3 3 4 1 8 0 6 1 8 3 2 4 3 2 1 2 1 1 3 3 3 1 5 0 9 6 9 1 7 4 6 2 2 3 1 1 3 3 1 1 8 0 11 6 4 1 2 3 1 5 1 2 9 3 2 2 2 1 1 1 1 1 4 4 2 5 5 7 5 4 1 5 3 3 7 1 8 0 7 1 5 9 7 1 6 7 3 3 1 1 2 1 2 1 1 9 0 9 1 6 1 3 5 4 2 8 7 3 1 3 3 2 1 1 3 2 1 9 0 7 1 9 5 8 2 4 2 2 1 2 1 1 2 2 1 1 2 4 4 5 5 1 5 3 5 1 5 0 10 7 5 4 7 1 5 9 5 5 5 1 1 2 2 1 1 5 0 8 4 6 5 8 1 6 5 3 1 2 2 1 1 1 5 0 10 8 1 2 4 6 1 3 5 8 4 3 3 1 1 3 4 1 1 1 3 3 6 1 9 0 7 7 1 1 9 8 5 1 3 3 3 1 1 2 2 2 1 1 6 0 8 3 9 5 6 7 7 1 1 3 2 1 2 1 1 1 9 0 6 9 1 5 9 4 3 3 2 1 2 2 2 1 2 3 3 2 5 4 4 3 3 7 1 5 0 11 4 1 7 9 2 4 1 8 3 6 4 1 1 1 1 1 1 7 0 9 1 8 5 6 1 3 9 8 5 1 3 1 1 3 3 3 1 9 0 11 6 4 3 3 7 1 6 6 9 6 3 3 1 1 3 1 2 2 1 1 3 4 2 5 3 4 1 3 6 1 9 0 11 3 6 1 8 9 1 1 3 4 5 5 1 3 1 3 2 1 3 1 1 1 6 0 11 8 7 3 3 2 1 7 8 7 3 5 1 1 3 1 3 2 1 7 0 10 3 1 1 2 6 7 1 4 4 3 3 1 3 3 1 3 3 3 1 3 1 5 3 3 3 4 4 4 3 5 1 6 0 8 1 4 4 3 5 7 1 1 2 2 3 3 1 3 1 6 0 10 1 2 2 6 9 6 3 4 9 6 1 1 2 2 1 2 1 6 0 8 1 3 1 1 8 1 3 7 2 2 2 3 1 2 2 5 1 2 4 3 4 1 8 0 9 4 9 3 1 8 5 3 1 6 2 1 2 1 2 2 1 2 1 5 0 10 1 7 5 1 2 3 7 6 9 1 3 3 1 1 2 1 7 0 7 5 1 2 7 1 7 1 3 3 1 3 2 3 3 4 2 3 2 3 7 1 9 0 8 2 1 4 1 8 6 2 9 1 3 3 3 1 1 2 3 2 1 7 0 7 1 6 9 2 4 3 8 2 2 1 3 2 3 1 1 6 0 10 9 8 6 1 9 5 6 1 9 6 3 1 1 2 2 2 2 2 4 2 3 4 3 3 6 1 5 0 8 7 1 3 1 1 6 8 7 2 3 1 3 1 1 7 0 10 8 9 6 1 1 3 3 1 9 7 1 1 1 3 1 1 2 1 7 0 6 1 4 2 8 6 6 1 1 1 2 3 3 2 2 5 1 3 3 5 5 2 3 2 6 8 6 2 4 4 3 6 1 9 0 9 1 2 7 1 2 6 6 1 1 1 2 1 1 2 2 2 1 1 1 7 0 7 4 6 2 7 5 1 8 1 3 3 3 1 1 3 1 6 0 7 8 9 4 1 6 7 3 2 3 3 1 2 1 3 4 4 3 3 3 3 5 1 7 0 10 5 1 5 9 2 1 1 7 7 7 2 1 1 3 2 3 1 1 8 0 11 2 3 2 1 1 4 6 2 5 5 2 2 3 3 3 2 1 1 2 1 8 0 7 6 1 1 5 9 1 5 2 1 1 1 1 3 3 3 2 3 2 3 4 3 7 1 6 0 8 3 1 8 9 7 6 8 1 3 3 1 2 1 3 1 5 0 8 1 7 5 1 2 5 8 4 1 1 1 1 2 1 7 0 6 1 7 6 2 4 1 3 2 1 1 3 1 1 2 1 2 2 1 3 4 3 7 1 8 0 11 5 3 8 6 5 1 5 7 9 8 2 1 3 1 2 2 1 3 3 1 6 0 11 4 3 7 4 1 2 5 1 1 1 2 3 1 2 3 2 1 1 9 0 9 9 4 6 1 7 8 4 4 4 3 3 1 2 1 1 2 1 1 2 1 3 1 1 2 1 1 2 2 5 4 4 3 6 1 8 0 9 2 4 1 5 6 2 1 3 2 3 1 1 2 1 3 2 1 1 6 0 7 4 2 1 1 4 5 5 3 3 1 1 1 3 1 5 0 8 3 3 6 1 3 3 6 8 1 1 2 3 2 2 3 3 3 2 4 3 7 1 6 0 6 6 9 6 8 2 1 3 3 3 2 1 3 1 7 0 9 7 2 5 9 8 9 2 1 5 1 1 1 3 2 1 3 1 7 0 9 8 1 3 4 4 6 7 9 3 1 3 1 2 1 3 3 3 2 2 1 2 4 5 3 4 1 8 0 6 7 1 1 2 8 2 2 1 3 3 3 2 1 2 1 9 0 9 9 7 1 2 1 6 6 5 4 3 2 1 1 2 1 3 1 3 1 8 0 9 9 6 8 1 2 1 8 4 7 2 2 1 1 1 3 2 3 2 4 4 5 3 4 1 7 0 10 7 3 8 2 4 3 6 1 1 1 2 1 3 2 3 1 2 1 8 0 11 2 1 3 1 8 3 7 8 2 1 3 1 2 3 3 3 2 1 3 1 6 0 8 1 9 6 8 3 7 6 6 3 1 1 3 1 3 2 5 5 1 2 4 6 5 5 5 3 5 1 6 0 8 4 7 2 7 8 5 4 1 1 1 1 1 2 3 1 8 0 9 8 7 9 8 1 8 9 5 2 2 1 2 1 1 2 3 2 1 7 0 8 9 4 3 8 8 6 4 1 2 1 1 3 2 2 2 5 2 3 1 2 3 6 1 9 0 10 1 6 9 1 5 6 5 8 4 5 3 2 1 1 2 3 2 1 1 1 9 0 7 6 1 2 3 8 9 7 3 1 3 3 2 3 1 3 2 1 8 0 11 3 6 1 2 1 4 2 8 2 6 3 1 1 1 2 3 3 2 1 4 3 1 3 2 1 3 7 1 8 0 11 3 5 5 8 8 8 1 5 7 1 8 3 1 3 2 3 2 3 2 1 5 0 7 6 4 7 2 1 5 7 3 1 2 2 3 1 6 0 9 2 7 1 7 1 7 4 4 4 1 1 1 3 1 2 3 4 1 1 3 2 1 3 4 1 8 0 11 2 1 8 9 2 1 1 4 8 7 5 3 1 3 3 1 1 3 1 1 9 0 11 7 1 5 3 6 3 8 6 9 4 6 2 1 2 3 1 1 2 1 3 1 5 0 11 2 1 1 1 9 3 6 2 2 6 7 2 1 1 1 1 2 3 1 3 3 7 1 7 0 11 8 7 1 3 2 1 2 1 8 8 1 3 2 1 1 1 3 2 1 5 0 9 7 1 7 8 5 2 9 8 6 1 1 1 2 1 1 7 0 6 4 1 2 4 8 8 1 3 1 2 1 2 3 2 3 2 1 5 5 2 3 5 2 2 1 5 3 3 4 1 9 0 7 3 1 3 1 6 2 8 3 3 2 3 1 2 3 1 2 1 8 0 11 7 2 1 9 8 7 7 4 9 2 4 1 1 1 3 3 1 2 1 1 7 0 7 8 8 7 5 6 2 1 3 3 3 1 1 3 3 5 2 2 5 3 6 1 9 0 6 2 9 1 9 7 5 1 2 3 3 2 3 1 3 1 1 6 0 8 2 9 1 4 2 1 1 4 2 3 1 1 1 1 1 5 0 9 2 8 7 7 2 3 7 7 1 1 3 3 2 1 4 1 3 4 2 2 3 6 1 8 0 11 5 4 2 1 1 2 4 9 9 8 2 1 1 3 1 2 1 2 1 1 7 0 11 4 6 5 4 1 8 1 6 7 2 3 2 3 1 3 3 2 1 1 6 0 9 4 2 3 1 5 2 3 4 5 2 2 1 2 2 1 2 5 4 3 3 1 3 7 1 9 0 8 9 5 7 7 3 6 1 2 2 3 1 2 2 1 1 2 2 1 5 0 8 6 1 6 8 7 1 4 7 2 1 1 3 1 1 7 0 7 2 7 1 1 3 3 3 1 3 1 3 3 3 1 1 3 4 4 2 2 4 3 7 1 6 0 8 1 1 6 8 3 8 4 5 2 2 1 1 3 3 1 9 0 7 6 1 4 9 4 4 9 3 3 3 2 2 1 1 3 3 1 9 0 7 8 3 1 7 1 5 3 1 1 3 3 1 3 2 3 1 4 5 1 5 4 4 4 5 2 1 5 3 3 4 1 6 0 10 3 8 8 8 2 7 7 5 1 8 1 3 3 3 2 2 1 7 0 7 1 6 8 3 9 1 8 1 1 1 2 3 3 1 1 8 0 9 7 1 8 6 1 9 7 2 5 1 2 3 3 2 3 2 2 5 1 1 4 3 5 1 7 0 6 1 8 4 7 3 2 3 1 1 1 3 3 3 1 5 0 6 1 4 5 3 4 4 3 1 1 1 3 1 7 0 6 1 9 8 9 4 3 2 3 3 1 1 3 3 1 3 4 3 3 3 5 1 6 0 10 7 6 7 1 4 6 6 1 2 4 1 2 3 1 3 1 1 6 0 7 1 3 2 5 1 1 4 3 3 2 1 1 3 1 5 0 10 3 5 7 5 2 2 5 3 5 1 3 1 1 2 3 1 5 1 5 3 3 5 1 5 0 9 1 3 5 6 2 8 1 3 7 2 1 1 1 3 1 5 0 7 4 1 5 8 6 6 7 2 3 1 3 1 1 9 0 7 1 9 5 2 4 2 3 1 1 3 1 3 3 1 1 3 4 1 1 1 1 3 6 1 8 0 6 7 1 8 7 6 1 3 1 2 2 1 3 3 2 1 5 0 9 8 1 1 6 2 9 4 1 4 1 1 1 3 3 1 5 0 11 1 7 2 8 9 9 4 1 4 4 1 2 3 2 1 3 1 5 4 5 3 2 4 4 5 5 3 3 5 1 5 0 6 4 5 1 1 4 2 2 2 1 1 3 1 9 0 8 3 1 7 5 7 8 4 1 3 2 1 1 3 2 1 1 3 1 6 0 6 4 5 9 5 7 1 3 1 2 2 3 1 1 5 1 2 3 3 4 1 8 0 10 1 1 7 8 2 5 6 4 1 5 2 3 2 1 1 1 1 1 1 6 0 10 6 6 1 3 7 1 5 5 9 9 1 2 1 1 2 2 1 6 0 11 3 2 1 7 7 5 4 4 9 8 2 2 1 2 2 2 1 3 1 4 3 3 7 1 7 0 9 1 8 4 5 7 5 6 6 7 3 2 3 3 1 3 2 1 7 0 9 8 6 3 8 2 7 1 6 1 2 3 3 1 1 3 2 1 6 0 9 5 4 9 1 5 6 1 9 6 3 3 1 3 3 2 4 5 1 4 2 1 5 3 7 1 5 0 6 1 2 8 8 1 8 3 2 1 3 1 1 5 0 8 2 1 3 8 1 4 8 4 2 2 2 2 1 1 7 0 6 4 9 9 3 2 1 1 2 1 2 3 3 1 2 4 2 1 2 1 4 3 5 1 6 0 6 6 8 1 4 8 9 2 1 3 1 3 1 1 7 0 8 8 1 6 9 6 6 4 3 3 1 2 1 3 1 3 1 5 0 10 3 3 7 5 1 5 4 3 2 2 1 2 2 1 3 3 2 1 1 4 7 1 6 2 2 7 3 5 4 3 7 1 8 0 11 5 8 1 5 8 2 6 5 1 7 1 2 2 1 1 2 1 2 2 1 5 0 11 8 4 1 3 6 1 9 5 6 6 6 1 3 3 2 3 1 6 0 6 2 2 1 2 4 5 3 2 2 1 2 2 2 1 1 3 1 5 1 3 4 1 9 0 11 7 5 1 4 7 3 7 6 5 4 4 3 1 2 2 1 1 2 3 2 1 7 0 7 1 9 9 8 1 9 9 1 1 1 2 3 2 3 1 9 0 8 4 4 1 9 8 2 3 8 1 3 2 1 3 1 1 1 3 1 3 1 3 3 4 1 6 0 7 2 9 9 7 3 5 1 1 3 2 2 2 1 1 7 0 7 3 5 7 3 4 9 1 1 1 1 3 2 2 2 1 8 0 10 7 9 5 8 1 9 1 1 9 8 3 1 3 1 3 2 3 2 5 3 3 3 3 5 1 7 0 6 3 1 1 6 4 1 3 1 3 2 3 1 1 1 5 0 8 5 7 2 1 2 3 3 7 2 3 1 1 1 1 8 0 6 7 5 8 2 1 3 3 1 2 3 1 1 1 1 3 4 3 1 3 3 5 1 9 0 9 3 4 9 7 8 1 1 2 2 1 3 1 1 3 1 1 2 3 1 6 0 7 7 1 5 2 3 5 5 1 2 1 2 1 1 1 7 0 9 1 4 6 5 7 6 1 7 3 1 1 1 3 3 2 2 3 2 1 1 5 2 5 2 1 4 4 3 7 1 7 0 10 9 1 4 1 6 8 9 3 4 2 2 2 2 1 2 1 1 1 9 0 8 5 6 5 4 5 1 6 1 2 1 1 3 1 1 3 2 1 1 8 0 6 9 6 1 6 7 9 3 1 2 1 2 3 1 3 5 4 4 1 2 2 2 3 7 1 6 0 9 6 6 1 2 2 7 4 1 3 1 1 2 2 2 3 1 5 0 10 8 3 4 6 6 5 5 5 1 3 1 1 1 3 1 1 7 0 11 7 2 1 7 1 1 4 5 4 8 3 1 2 1 2 1 2 3 2 1 3 1 3 3 2 3 5 1 7 0 9 2 9 6 3 7 3 1 1 2 1 1 2 2 2 3 1 1 9 0 7 6 4 1 6 7 1 2 1 1 2 2 3 1 1 2 3 1 9 0 6 1 8 4 5 1 4 2 2 1 2 2 2 3 3 3 1 3 2 5 1 3 6 1 7 0 11 1 4 8 4 7 8 5 1 4 4 2 3 2 1 3 1 2 2 1 8 0 8 6 1 2 6 2 1 2 7 3 1 2 2 3 2 1 1 1 6 0 7 7 3 9 1 1 5 4 1 3 1 1 2 1 2 2 1 2 5 5 2 5 4 4 5 4 3 7 1 7 0 10 4 9 5 3 9 5 3 5 1 1 3 1 2 3 3 1 1 1 8 0 10 8 3 6 8 7 1 3 3 4 8 1 2 3 1 2 3 2 1 1 8 0 10 1 7 6 3 1 2 6 5 6 8 1 1 3 1 1 2 2 2 1 4 2 4 4 3 4 3 7 1 9 0 9 1 6 3 8 7 4 1 9 7 1 1 2 3 1 3 1 1 3 1 7 0 6 3 1 6 8 8 8 1 3 3 1 2 1 3 1 9 0 11 2 5 5 8 1 1 1 3 1 1 7 1 2 3 3 3 3 1 1 2 2 1 1 5 3 5 5 3 7 1 6 0 6 7 3 6 6 1 2 2 1 2 1 3 2 1 5 0 6 4 9 5 9 1 8 1 2 2 1 3 1 6 0 6 1 1 8 7 2 8 3 2 2 2 1 3 1 1 1 3 3 3 1 3 5 1 9 0 9 7 2 3 9 8 2 9 1 6 2 1 3 3 2 3 3 1 1 1 6 0 6 5 5 6 8 1 4 3 1 2 3 2 1 1 9 0 6 8 1 5 7 6 2 2 2 3 3 1 3 1 1 1 1 4 3 2 2 3 5 1 7 0 11 9 2 4 3 5 6 4 1 2 2 5 1 1 1 1 2 2 3 1 7 0 8 6 1 6 9 9 4 4 9 1 1 3 1 3 1 3 1 7 0 7 8 5 3 1 7 5 7 3 1 3 1 1 2 3 3 2 2 1 3 3 1 1 3 5 5 3 5 1 9 0 8 3 1 5 5 2 6 2 2 1 3 1 1 3 1 3 3 2 1 8 0 10 2 3 2 4 1 1 9 3 1 3 3 1 2 1 2 2 1 1 1 6 0 10 1 4 6 9 3 5 5 5 6 4 1 2 1 1 3 2 1 3 1 2 3 3 6 1 7 0 10 8 2 4 9 3 9 5 5 1 7 1 1 1 1 1 1 1 1 8 0 9 1 3 9 4 8 1 6 9 4 1 1 1 1 2 1 3 3 1 5 0 7 2 4 1 1 5 6 2 1 1 2 1 2 4 2 2 2 2 4 3 7 1 8 0 8 6 9 7 6 7 1 1 7 3 3 1 1 2 2 3 1 1 5 0 8 8 2 3 1 6 1 4 2 1 3 1 3 2 1 9 0 6 6 1 9 7 2 3 2 2 2 2 1 2 3 2 2 1 3 2 4 1 1 3 3 5 1 8 0 11 5 5 8 7 9 8 1 8 7 1 6 1 2 1 2 2 1 3 2 1 6 0 11 6 3 7 8 9 1 1 1 6 1 3 1 3 3 3 1 3 1 8 0 9 1 8 1 2 8 9 7 8 4 3 3 3 1 3 2 1 3 2 1 1 5 5 3 6 1 8 0 6 2 9 8 5 2 1 3 1 2 1 3 1 1 2 1 7 0 10 6 4 2 6 9 5 1 1 9 2 1 1 2 2 2 3 1 1 7 0 7 1 9 1 7 2 9 7 1 3 1 3 2 1 3 5 5 3 2 4 5 5 1 6 4 5 5 5 3 6 1 5 0 8 1 9 2 7 3 2 1 4 2 1 1 3 1 1 6 0 8 6 5 2 8 1 8 6 7 1 1 3 3 1 3 1 5 0 10 1 4 7 1 4 9 6 1 6 5 3 3 2 1 1 2 4 3 3 3 3 3 5 1 8 0 7 1 5 1 8 2 1 1 2 1 1 1 2 2 1 2 1 8 0 11 9 7 9 9 5 6 7 5 1 9 2 3 2 1 3 3 2 2 2 1 5 0 8 2 9 8 4 8 8 1 1 3 2 3 1 1 5 1 3 4 2 3 6 1 5 0 8 5 1 4 2 4 7 1 9 3 1 3 1 1 1 7 0 11 3 8 1 7 4 7 1 2 7 5 2 3 1 1 1 1 2 1 1 7 0 11 3 9 5 1 5 5 3 6 3 8 2 2 2 1 2 1 1 1 2 4 1 2 3 1 3 6 1 7 0 9 9 1 1 1 7 8 7 4 4 1 2 1 1 2 3 3 1 9 0 9 1 8 5 6 6 8 4 4 4 3 2 3 3 1 2 1 1 3 1 9 0 9 7 5 7 3 9 1 2 7 9 3 3 3 1 3 2 3 3 3 3 3 2 4 3 1 3 6 1 7 0 11 1 1 8 4 8 1 9 1 8 2 9 3 2 1 2 1 3 2 1 5 0 9 5 9 1 8 5 2 1 2 1 1 1 1 1 2 1 5 0 9 7 7 4 2 7 8 8 5 1 1 2 2 1 3 3 2 4 3 5 1 3 3 4 5 3 5 5 3 7 1 7 0 7 1 7 8 9 5 5 4 1 1 1 3 2 2 2 1 8 0 11 6 9 6 7 1 2 5 4 6 2 4 2 2 1 1 1 3 2 2 1 6 0 8 7 4 9 6 8 1 5 6 1 1 1 1 1 3 3 5 2 1 2 1 1 3 7 1 9 0 8 6 1 5 5 5 1 2 3 3 1 1 3 1 1 3 2 2 1 7 0 7 1 8 4 1 9 7 5 1 2 2 2 3 3 1 1 9 0 7 9 6 9 2 1 1 4 3 1 3 3 3 1 1 3 2 1 4 5 2 4 5 4 3 5 1 9 0 9 7 8 7 7 3 3 6 1 7 3 2 1 1 1 3 2 3 1 1 8 0 11 8 5 1 2 2 1 7 5 2 1 5 3 2 2 1 2 3 1 2 1 6 0 7 4 1 1 1 6 7 7 3 3 1 1 1 1 4 4 3 3 4 3 7 1 7 0 6 9 1 8 2 8 9 3 2 1 1 1 1 3 1 6 0 6 7 2 8 9 5 1 2 1 1 2 3 1 1 6 0 7 1 6 1 8 4 1 7 1 3 3 3 1 3 4 2 4 2 5 3 2 3 6 1 8 0 10 4 6 6 4 9 3 5 1 2 1 2 3 3 3 2 1 1 1 1 8 0 8 1 6 6 9 1 3 7 4 1 3 3 2 2 2 1 2 1 8 0 10 1 4 7 1 2 8 1 1 8 4 2 1 1 2 2 1 1 3 2 2 2 2 1 1 3 6 7 3 1 5 5 3 5 1 8 0 10 8 3 6 3 3 9 8 2 1 5 1 1 1 2 1 3 3 2 1 8 0 7 5 1 4 1 1 7 1 2 2 2 3 3 2 1 2 1 7 0 9 5 4 6 9 3 5 4 2 1 1 1 3 3 2 2 1 3 5 4 4 2 3 5 1 9 0 7 6 1 1 3 5 1 7 1 3 2 3 2 2 1 1 3 1 5 0 6 6 1 8 3 1 1 2 1 3 3 1 1 6 0 9 4 1 2 7 6 2 1 6 4 1 3 1 3 1 3 1 5 2 1 4 3 4 1 6 0 9 9 7 1 1 5 3 2 7 9 1 2 1 1 2 2 1 9 0 7 3 2 4 7 7 2 1 2 1 1 3 1 1 3 2 2 1 7 0 10 8 2 5 1 1 4 9 5 7 1 1 1 1 1 2 2 3 4 2 3 1 3 5 1 8 0 10 9 3 8 4 4 1 1 3 6 6 3 2 3 2 2 1 3 2 1 6 0 6 1 5 1 4 7 7 3 3 3 3 1 2 1 5 0 9 7 2 1 9 5 5 4 1 3 2 2 1 1 3 5 5 4 1 1 3 7 1 5 0 9 7 2 1 4 3 4 5 9 3 1 2 2 2 2 1 7 0 8 8 2 5 9 1 1 6 2 1 3 1 1 1 1 2 1 6 0 9 4 3 5 6 1 6 6 4 4 1 1 2 2 3 3 3 1 5 1 5 1 4 3 7 1 1 6 1 5 8 6 3 4 5 3 5 1 5 0 11 4 1 2 1 6 3 6 7 3 6 1 1 3 1 1 1 1 6 0 8 8 1 8 6 1 1 2 7 3 2 3 3 1 3 1 5 0 6 3 1 1 3 9 1 3 3 3 1 1 4 3 2 5 2 3 4 1 7 0 11 3 7 7 9 2 7 1 8 4 5 8 1 2 1 1 1 2 3 1 6 0 10 1 1 1 3 1 3 8 6 5 4 1 1 2 1 2 1 1 8 0 7 2 3 8 8 6 1 4 1 2 3 2 2 1 1 2 4 1 2 1 3 5 1 9 0 6 1 6 6 6 5 2 1 2 3 3 3 3 3 2 2 1 5 0 7 1 5 7 8 2 3 7 1 1 3 3 1 1 9 0 11 5 6 2 2 7 8 4 6 9 1 2 2 1 2 3 3 3 3 1 3 4 2 5 5 4 3 6 1 8 0 6 6 5 8 1 1 7 2 3 3 2 3 1 2 3 1 6 0 9 8 7 4 9 1 7 6 8 1 1 2 3 3 1 3 1 7 0 8 1 1 1 3 4 2 4 2 3 3 1 2 3 1 2 1 5 4 5 4 2 5 2 2 5 1 5 3 3 7 1 7 0 9 4 5 9 1 5 8 6 4 9 1 1 3 1 2 2 1 1 7 0 7 2 1 1 6 2 3 1 3 2 1 1 3 2 1 1 9 0 11 6 4 8 5 6 4 7 2 1 8 4 1 3 2 2 1 2 2 3 3 2 1 1 3 2 4 4 3 5 1 6 0 9 3 1 2 8 7 7 2 1 8 3 2 3 3 3 1 1 5 0 10 4 9 9 6 1 9 1 8 2 8 3 1 2 3 2 1 7 0 8 9 4 7 1 2 4 6 9 1 3 2 1 3 2 3 1 3 3 1 3 3 6 1 9 0 7 3 2 6 2 1 6 9 1 2 1 2 2 1 2 1 3 1 5 0 8 6 1 6 9 3 1 5 1 3 2 1 3 1 1 6 0 8 8 1 7 3 4 7 5 5 1 3 2 2 1 2 1 3 1 2 5 5 3 5 1 8 0 11 1 6 1 7 6 2 9 8 4 8 8 1 1 1 2 1 1 1 1 1 9 0 7 6 4 8 1 1 7 7 1 3 2 2 1 1 3 2 2 1 8 0 7 6 3 5 9 1 2 2 3 3 2 1 1 1 1 2 5 1 1 3 4 3 6 1 9 0 6 5 8 3 1 5 7 1 2 2 1 1 2 1 2 3 1 6 0 7 8 9 1 8 4 3 2 3 2 1 1 1 1 1 5 0 6 1 1 4 4 1 9 1 3 2 3 3 5 1 2 5 2 4 2 2 6 5 3 3 4 1 6 0 9 6 4 8 7 1 1 7 5 7 1 1 2 2 3 2 1 8 0 9 1 9 9 9 8 7 9 7 1 3 1 1 2 3 2 3 3 1 7 0 11 6 4 3 8 8 7 8 6 5 9 1 3 3 1 2 1 1 2 5 4 3 4 3 5 1 7 0 11 8 4 9 3 2 8 4 1 8 9 4 3 2 2 1 1 1 3 1 7 0 11 7 7 8 1 4 7 5 7 7 4 6 2 2 3 3 3 3 1 1 5 0 10 7 4 5 1 2 4 1 3 9 3 3 3 3 1 1 3 4 2 1 1 3 6 1 6 0 11 7 6 5 1 3 8 1 4 1 3 6 1 3 2 1 3 2 1 7 0 7 8 1 4 6 6 2 2 3 1 1 2 3 1 3 1 7 0 10 7 9 1 9 9 1 6 7 3 9 3 2 1 3 2 3 2 4 1 1 4 2 4 3 4 1 8 0 8 6 1 5 3 3 8 9 7 2 3 2 3 1 3 3 1 1 6 0 9 9 5 2 3 7 1 1 3 9 1 3 2 2 3 2 1 6 0 8 9 2 7 6 1 3 4 9 2 1 1 3 1 1 2 1 2 3 3 5 1 6 0 9 6 6 1 9 6 9 9 8 1 1 3 1 3 3 3 1 5 0 8 3 1 1 8 3 3 2 1 2 3 1 2 3 1 6 0 9 7 8 8 4 4 1 8 7 7 3 2 3 1 3 3 4 2 3 2 4 4 3 4 4 3 3 5 1 8 0 7 7 1 4 5 9 9 1 1 2 1 2 1 3 3 2 1 6 0 10 4 2 6 3 7 5 1 7 8 9 1 1 3 2 1 1 1 6 0 11 1 6 3 6 4 3 1 1 6 1 2 1 3 1 1 3 2 5 4 2 2 4 3 6 1 6 0 6 2 5 3 1 8 5 2 1 1 3 2 3 1 6 0 9 5 4 5 2 1 1 9 8 3 2 1 2 3 2 1 1 5 0 6 7 1 7 8 8 1 2 1 1 2 2 2 5 4 2 4 2 3 6 1 9 0 7 8 9 8 9 2 1 6 1 2 2 3 1 3 2 1 1 1 9 0 6 1 1 7 1 4 8 3 1 2 1 1 3 3 1 3 1 8 0 9 3 1 1 8 5 8 4 8 4 1 2 2 1 3 3 3 3 3 3 2 1 4 2 3 7 1 6 0 7 1 7 1 4 6 4 4 3 1 3 3 1 3 1 8 0 11 6 3 1 5 5 9 1 2 5 8 8 2 1 3 1 1 2 2 2 1 9 0 8 9 3 6 1 4 1 2 6 3 3 1 3 3 3 2 1 1 4 5 3 5 3 1 1 5 2 1 5 4 3 5 1 7 0 11 1 4 3 5 1 1 7 3 9 9 5 1 1 1 2 1 1 3 1 6 0 7 2 2 1 9 8 3 1 3 3 2 1 2 1 1 8 0 11 6 6 2 3 1 9 8 8 3 1 7 2 1 1 3 2 2 3 1 1 5 1 5 2 3 7 1 9 0 9 2 8 3 9 9 1 8 3 8 2 3 1 2 1 2 3 3 1 1 9 0 6 8 3 1 6 1 8 1 2 1 1 1 1 1 3 1 1 7 0 11 5 8 6 7 2 5 8 9 6 1 5 3 1 3 2 1 3 1 3 2 2 2 1 2 4 3 4 1 9 0 6 3 5 1 5 8 1 1 3 1 3 2 1 1 2 3 1 6 0 8 9 6 1 7 6 2 8 4 1 2 1 1 1 1 1 9 0 6 9 1 1 9 8 2 2 1 2 3 2 1 1 1 2 1 5 3 2 3 5 1 9 0 8 9 1 2 4 4 9 9 3 1 2 3 2 1 1 1 2 2 1 5 0 8 1 2 2 9 9 7 2 7 3 1 1 1 1 1 7 0 9 3 8 5 3 5 6 8 2 1 2 1 1 1 2 3 1 1 5 2 5 2 3 4 1 7 0 10 5 9 9 3 1 7 6 6 6 8 2 1 1 2 1 1 2 1 8 0 10 4 9 1 7 2 1 8 6 1 5 1 1 1 1 1 1 3 2 1 8 0 10 5 5 4 2 4 1 1 2 2 6 3 1 2 2 3 2 3 2 3 2 5 3 1 1 6 2 5 4 3 5 1 9 0 8 4 6 1 2 5 4 4 3 1 2 2 1 2 1 2 2 2 1 5 0 9 7 1 8 3 3 5 5 3 1 3 1 2 3 2 1 6 0 11 1 1 7 4 2 9 4 8 9 8 5 2 1 1 1 3 1 1 5 2 5 2 3 5 1 9 0 10 2 4 8 1 6 8 7 5 9 2 1 2 2 2 2 2 1 1 1 1 5 0 6 5 6 1 4 3 2 3 1 3 1 3 1 8 0 8 4 8 6 4 8 6 1 1 2 2 1 2 1 3 3 2 3 1 3 4 1 3 5 1 6 0 7 5 8 4 4 1 8 9 3 1 1 3 3 1 1 6 0 10 8 9 3 8 1 8 6 1 5 3 1 1 1 3 3 1 1 7 0 9 4 5 8 1 4 4 8 2 5 2 2 3 1 1 1 3 3 1 4 5 5 3 7 1 9 0 11 8 7 3 4 7 9 5 3 5 1 4 1 3 3 3 3 1 2 1 2 1 9 0 7 7 1 3 6 6 8 7 1 1 2 2 1 1 3 1 2 1 9 0 9 5 8 2 1 2 8 7 1 8 2 1 2 1 2 2 1 1 3 5 4 2 4 3 5 2 3 6 1 7 0 8 1 9 9 1 6 7 4 6 1 3 3 1 1 2 2 1 8 0 8 8 1 6 5 6 6 2 2 1 1 3 1 1 1 3 2 1 5 0 8 1 6 4 3 1 3 8 4 3 2 1 3 1 3 2 2 2 5 5 2 2 6 3 1 5 4 7 2 4 4 3 7 1 6 0 8 8 7 1 9 7 7 1 9 2 1 3 1 3 3 1 6 0 6 3 1 4 6 7 5 1 1 3 3 1 3 1 8 0 7 6 9 4 2 7 1 1 1 1 3 1 1 2 1 2 1 5 4 2 1 5 3 3 6 1 7 0 9 6 5 1 5 9 6 7 1 6 3 1 2 3 2 1 2 1 9 0 11 2 1 6 1 7 3 7 3 9 2 3 2 3 1 2 3 1 3 2 3 1 9 0 8 3 3 7 4 2 8 8 1 3 1 1 3 3 1 3 3 1 5 1 3 1 2 1 3 7 1 6 0 9 1 8 9 5 6 1 1 2 1 2 1 1 3 1 1 1 5 0 7 3 7 2 1 4 9 1 3 1 2 2 3 1 6 0 6 8 5 1 8 6 7 2 2 1 1 1 1 1 1 3 1 2 1 2 3 4 1 5 0 6 9 5 1 1 1 1 1 1 2 3 3 1 7 0 9 1 8 4 3 2 1 6 2 3 2 3 1 2 1 3 3 1 6 0 6 6 5 9 1 5 9 2 3 2 3 1 1 1 2 3 4 2 4 4 5 4 4 3 5 1 7 0 11 4 1 7 8 7 1 2 3 2 2 9 1 3 2 3 1 2 3 1 5 0 7 1 8 1 6 5 2 5 1 1 1 1 1 1 5 0 6 6 1 5 3 6 8 2 1 1 2 3 4 3 5 1 4 3 7 1 9 0 10 5 7 3 8 1 5 5 4 7 7 2 3 1 2 3 2 1 1 2 1 7 0 10 9 5 6 2 4 1 9 2 1 8 2 1 1 2 1 1 2 1 5 0 6 3 7 5 5 9 1 2 1 3 1 1 3 3 5 5 2 2 2 3 6 1 6 0 7 2 1 9 4 6 2 2 2 1 2 1 3 3 1 5 0 8 7 9 8 1 6 7 4 5 3 1 1 2 1 1 5 0 9 8 9 1 6 9 7 4 3 1 1 2 1 1 1 2 3 1 4 5 2 3 4 1 5 0 9 7 4 8 4 1 2 8 3 2 2 2 3 3 1 1 5 0 11 5 1 8 8 6 9 4 7 8 6 3 3 2 1 1 3 1 5 0 10 8 7 5 3 1 2 5 1 2 1 1 3 1 2 1 4 3 2 5 6 4 6 4 4 4 3 5 1 7 0 9 6 7 5 8 8 2 9 1 9 2 1 3 2 3 2 2 1 7 0 7 6 2 4 3 4 1 5 3 1 1 3 1 2 3 1 6 0 11 5 8 1 3 1 8 6 9 8 7 8 2 3 3 3 2 1 3 3 3 2 1 3 7 1 6 0 8 1 8 9 5 8 6 3 7 1 1 2 1 3 1 1 7 0 6 4 1 1 9 5 4 3 1 3 1 2 3 2 1 6 0 11 9 3 3 8 7 1 3 2 1 8 1 2 3 1 3 1 3 2 1 3 3 4 2 4 3 5 1 5 0 10 6 8 9 6 5 6 2 1 6 1 1 1 3 1 3 1 6 0 11 5 8 1 9 7 3 1 8 1 9 2 1 2 3 2 1 1 1 9 0 8 1 9 3 4 9 1 9 1 3 3 2 1 3 3 1 3 2 1 5 4 2 1 3 6 1 6 0 9 7 8 8 4 4 7 1 8 4 2 2 3 2 1 1 1 6 0 11 5 6 1 1 6 5 3 6 2 5 6 1 2 1 1 3 2 1 8 0 9 1 5 1 7 5 9 9 8 8 2 3 1 1 1 1 1 3 5 2 5 4 1 2 6 2 5 5 5 3 3 4 1 7 0 8 9 7 5 6 6 1 9 2 1 1 3 1 1 1 3 1 7 0 7 1 6 7 1 1 1 5 1 3 3 1 2 3 1 1 5 0 6 1 1 5 7 2 3 1 1 3 1 2 1 3 3 1 3 4 1 9 0 9 9 6 6 4 7 5 9 1 9 2 2 1 3 1 3 2 1 1 1 7 0 10 1 7 1 9 7 7 1 9 9 1 2 1 2 3 2 1 2 1 7 0 9 8 1 6 6 1 4 8 4 2 3 3 3 1 1 2 1 4 5 2 3 3 7 1 9 0 6 1 1 4 1 2 6 3 2 1 2 1 3 2 1 2 1 9 0 8 1 6 6 2 8 6 1 3 3 3 1 1 2 3 3 1 3 1 7 0 8 5 7 8 4 4 1 4 8 3 2 1 1 1 3 2 3 3 1 1 5 2 2 3 5 1 7 0 8 1 9 7 7 4 1 1 1 1 3 1 2 1 3 3 1 9 0 9 5 3 1 4 9 7 1 3 8 2 2 1 3 1 2 3 1 3 1 7 0 6 8 6 9 9 1 4 2 1 3 1 1 3 1 2 2 4 3 3 3 6 1 8 0 11 5 9 8 4 5 1 6 2 7 4 8 1 2 2 3 3 2 1 2 1 7 0 9 1 9 3 5 1 4 9 3 3 1 3 2 1 1 3 2 1 5 0 10 2 5 1 7 7 1 6 2 6 8 3 1 2 3 1 2 3 5 5 3 3 6 1 6 5 4 3 6 1 9 0 7 1 5 7 6 5 6 6 2 2 3 2 2 1 1 2 2 1 9 0 6 7 2 1 8 4 7 3 3 1 1 1 2 3 1 1 1 7 0 11 1 2 2 2 5 3 1 3 1 9 6 2 1 2 3 2 1 3 3 4 3 4 3 5 3 6 1 7 0 9 2 1 1 3 4 1 5 1 4 1 1 3 2 3 2 3 1 6 0 6 9 1 7 4 9 7 3 2 1 3 1 2 1 9 0 9 9 7 1 6 5 6 1 7 7 2 2 3 2 1 1 1 1 2 3 3 3 5 3 1 3 4 1 6 0 11 2 1 1 2 3 8 4 2 5 1 9 3 2 2 3 1 3 1 9 0 8 4 1 4 6 1 9 6 5 3 1 1 3 1 1 1 2 3 1 5 0 7 9 1 2 6 9 8 9 3 3 1 3 1 1 2 4 3 3 6 1 5 0 11 3 3 1 8 2 6 6 1 9 3 3 2 2 1 2 1 1 6 0 6 4 2 1 9 6 5 1 3 2 3 2 3 1 6 0 6 2 8 1 4 9 9 3 3 1 2 1 3 3 5 1 2 5 1 3 4 1 9 0 8 7 4 1 6 6 1 6 8 3 2 3 2 3 1 3 2 3 1 6 0 8 6 1 8 4 3 8 2 1 1 3 3 1 1 3 1 5 0 7 1 2 7 5 4 9 6 2 1 2 1 1 1 4 3 2 1 5 1 3 5 4 3 6 1 9 0 6 2 1 6 1 1 1 2 1 3 1 3 1 1 1 2 1 8 0 10 5 3 1 8 7 9 6 1 7 1 3 3 1 3 1 3 1 1 1 9 0 10 7 1 1 4 3 7 4 5 6 9 1 1 1 2 2 2 2 1 3 1 2 2 1 4 3 3 6 1 8 0 6 7 5 1 7 9 4 1 2 3 1 2 1 1 1 1 6 0 8 8 2 3 1 4 1 2 1 3 2 1 1 2 1 1 6 0 11 3 1 5 2 7 2 4 2 3 6 4 1 1 1 2 3 3 1 1 3 1 3 2 3 6 1 9 0 6 9 1 8 7 6 2 1 1 2 1 1 1 2 2 3 1 9 0 9 4 4 4 1 9 7 8 9 6 1 3 2 1 2 2 2 2 1 1 8 0 9 5 5 6 1 5 5 2 1 6 1 2 3 1 1 2 3 1 1 5 5 4 2 2 3 4 1 6 0 6 8 2 9 6 1 4 1 2 2 3 2 1 1 9 0 11 4 8 2 7 1 3 5 9 2 8 9 3 1 2 3 1 1 3 1 2 1 5 0 7 5 1 6 7 7 4 4 3 1 3 1 1 2 2 4 1 3 6 1 8 0 6 2 9 4 1 7 3 2 2 1 1 2 3 3 1 1 8 0 8 6 3 4 1 5 2 8 1 1 2 1 3 1 2 2 1 1 6 0 9 1 7 7 4 9 1 9 8 8 1 3 3 1 1 2 1 3 2 1 3 5 7 4 4 2 5 5 3 5 1 9 0 9 1 1 1 8 1 8 3 8 2 3 2 1 2 1 2 1 2 1 1 5 0 11 8 2 2 9 3 3 4 8 2 6 1 1 1 2 2 1 1 7 0 7 4 6 1 9 6 5 1 1 2 1 2 1 3 1 2 2 2 1 2 3 5 1 7 0 6 5 2 3 2 2 1 3 3 1 3 3 1 1 1 9 0 8 8 9 2 7 3 1 1 6 3 1 2 1 1 3 3 1 1 1 9 0 9 1 6 1 7 3 4 9 4 2 1 3 2 1 1 3 2 2 3 2 3 1 2 2 3 7 1 5 0 7 9 7 6 8 1 1 2 3 3 1 1 3 1 8 0 10 4 9 1 6 6 8 5 7 1 3 2 2 3 3 1 3 2 1 1 5 0 11 6 3 7 9 1 2 6 9 1 7 1 1 1 1 3 2 4 1 3 1 1 2 1 3 7 1 7 0 7 2 5 9 4 3 1 2 3 1 1 1 1 3 2 1 8 0 6 5 5 1 5 8 8 1 3 1 1 2 3 2 2 1 9 0 11 5 1 8 4 7 4 7 4 4 5 1 3 2 2 1 1 2 3 2 1 3 3 4 1 1 3 5 3 5 1 7 0 8 5 8 8 7 1 5 1 5 2 2 2 1 2 1 1 1 7 0 8 7 4 1 2 5 1 1 1 2 3 3 3 1 1 3 1 9 0 11 9 9 9 1 7 1 3 1 4 4 5 2 1 2 2 2 1 3 3 1 2 2 4 3 3 5 7 1 5 5 4 5 6 3 5 5 3 5 1 9 0 6 5 5 4 9 9 1 3 1 1 3 2 1 1 2 3 1 5 0 7 3 9 4 7 1 1 2 2 3 3 1 1 1 7 0 11 1 4 8 3 8 1 9 3 9 5 3 1 2 1 3 2 2 2 1 5 4 1 5 3 6 1 6 0 6 8 4 3 6 1 6 1 1 1 2 3 1 1 7 0 10 5 5 1 4 1 1 5 2 1 9 1 1 1 2 2 2 1 1 6 0 7 6 7 1 5 6 9 4 2 1 2 1 1 2 2 5 4 3 4 4 3 6 1 7 0 6 6 9 1 3 8 9 1 2 3 1 2 1 1 1 9 0 7 3 6 1 8 7 5 6 1 2 1 1 1 2 1 3 2 1 9 0 8 2 7 6 2 1 8 6 7 2 3 2 2 3 2 1 1 2 1 3 1 4 1 4 3 4 1 6 0 7 6 2 4 1 6 7 1 1 2 1 1 1 2 1 8 0 11 8 8 1 6 1 1 3 5 5 8 6 1 1 2 1 1 3 3 3 1 7 0 10 4 9 1 1 1 6 6 8 4 9 1 2 1 2 1 3 1 3 1 5 2 3 6 1 5 0 10 3 7 8 7 6 1 2 9 1 6 3 2 1 1 1 1 9 0 9 7 6 1 9 6 1 9 7 3 1 2 3 1 1 1 2 3 2 1 8 0 9 7 5 1 4 8 3 7 2 6 3 2 1 1 3 1 2 2 2 3 3 3 5 4 4 1 3 3 6 4 3 3 4 1 6 0 9 9 1 9 9 1 7 2 5 1 2 3 2 1 3 1 1 8 0 11 4 9 2 1 3 4 7 1 9 5 7 1 2 1 1 2 2 2 2 1 5 0 7 2 5 3 2 4 9 1 1 2 1 2 1 2 4 4 5 3 5 1 5 0 11 5 9 6 8 2 3 1 7 6 9 1 2 1 3 3 2 1 5 0 6 4 1 3 1 6 2 1 1 2 2 3 1 9 0 8 8 7 1 8 4 3 8 7 2 1 3 3 3 1 2 2 1 5 3 4 2 2 3 4 1 5 0 8 8 4 1 8 3 5 4 1 2 1 2 2 1 1 7 0 11 3 6 9 5 1 6 4 8 1 5 5 3 1 1 1 3 2 3 1 8 0 8 8 1 1 9 4 6 2 8 3 3 3 1 2 1 2 3 2 1 5 1 3 5 1 5 0 11 9 8 5 5 7 1 1 7 5 4 9 3 3 1 1 1 1 6 0 11 8 3 8 2 6 3 1 1 8 6 8 1 2 1 2 3 2 1 8 0 7 4 9 4 3 1 9 9 3 2 3 1 1 1 1 1 3 4 5 3 2 1 4 3 4 5 3 7 1 8 0 6 8 1 1 1 5 2 2 2 2 2 2 1 2 1 1 6 0 10 6 2 7 1 6 8 6 1 8 6 2 1 3 3 2 1 1 5 0 10 1 4 9 6 9 9 9 6 5 1 3 1 1 1 3 4 2 5 2 4 3 3 3 6 1 5 0 7 9 9 6 6 5 3 1 1 2 1 1 2 1 7 0 10 8 1 6 2 8 5 2 8 5 7 2 1 1 1 2 2 3 1 5 0 11 8 5 8 8 8 5 9 4 2 1 1 3 1 1 1 1 5 5 3 3 3 2 3 6 1 8 0 10 9 6 9 1 4 9 6 2 7 5 2 1 2 3 2 3 3 2 1 7 0 6 1 8 8 3 5 9 1 1 2 2 1 2 2 1 5 0 10 6 9 9 3 9 6 8 1 3 1 1 3 3 1 1 3 1 5 2 4 3 3 5 1 5 0 11 5 9 1 4 1 1 4 8 7 1 3 1 1 3 1 2 1 8 0 10 1 8 5 5 5 5 5 3 1 4 2 1 2 1 3 1 3 1 1 6 0 9 1 6 1 3 2 5 7 8 5 3 3 3 1 2 1 4 4 1 3 1 3 4 2 2 3 5 3 3 4 1 6 0 11 6 8 2 6 1 1 6 9 8 6 9 1 1 1 2 3 2 1 6 0 8 5 6 2 1 9 9 8 9 1 2 3 1 3 2 1 5 0 6 1 6 7 4 1 4 2 3 2 2 1 5 2 1 1 3 5 1 5 0 8 1 8 2 8 2 7 8 2 2 2 1 2 3 1 6 0 8 9 5 3 2 7 9 4 1 1 3 2 2 3 3 1 9 0 7 7 1 1 7 3 8 6 2 3 1 2 2 2 3 2 3 2 2 3 5 2 3 5 1 5 0 6 1 7 7 5 4 6 3 1 1 2 1 1 7 0 9 1 9 3 1 2 4 9 4 3 3 1 2 2 2 1 3 1 7 0 6 7 7 1 7 2 1 1 1 2 1 2 2 2 2 3 2 2 5 3 6 1 8 0 8 5 7 6 2 8 7 8 1 2 3 2 2 3 2 1 2 1 8 0 9 6 6 9 5 7 5 1 8 3 2 3 2 1 3 2 1 1 1 9 0 8 5 3 2 3 2 1 4 2 1 1 1 1 1 2 3 1 2 3 3 2 1 3 5 3 6 1 5 0 7 2 5 9 8 2 1 3 3 3 3 1 1 1 8 0 9 1 6 5 5 8 1 3 1 5 3 2 1 2 1 2 3 1 1 8 0 9 5 7 9 5 9 9 1 8 1 2 3 1 1 2 1 1 1 1 1 1 5 3 5 1 2 4 5 3 3 5 1 9 0 9 1 2 7 3 1 7 1 8 1 3 2 1 3 1 2 3 1 1 1 9 0 11 4 1 7 8 1 6 6 9 4 5 6 3 2 3 3 3 2 1 2 1 1 8 0 9 9 3 6 1 5 3 4 6 3 3 2 2 2 3 3 3 1 2 3 3 5 4 3 5 1 9 0 7 8 1 7 4 3 1 4 3 3 3 1 1 3 2 1 1 1 8 0 9 4 6 2 1 8 2 5 4 4 1 1 1 1 1 1 2 3 1 9 0 11 6 1 4 6 1 9 8 7 6 5 1 1 1 1 1 3 2 1 2 3 3 3 1 3 1 3 7 1 6 0 9 1 2 2 5 5 2 2 2 8 1 3 3 2 2 2 1 8 0 9 4 9 2 1 4 8 2 8 9 3 3 3 2 1 1 1 1 1 8 0 8 1 2 6 8 5 1 1 3 1 1 2 2 2 2 3 1 1 1 4 1 2 2 2 3 4 1 8 0 10 5 6 9 8 8 6 1 7 8 8 1 2 2 3 3 3 1 2 1 8 0 11 9 5 9 1 4 3 1 4 1 4 5 3 1 3 2 3 3 3 1 1 6 0 10 1 2 4 1 2 6 9 2 6 7 2 1 1 2 2 2 1 5 1 3 3 4 1 9 0 10 2 2 6 3 1 4 6 4 9 9 1 1 3 2 1 2 1 1 1 1 8 0 6 3 1 6 9 6 1 1 3 1 1 3 3 3 3 1 9 0 8 5 2 8 9 1 1 7 7 1 1 1 1 3 3 2 1 3 2 1 5 3 4 6 4 4 3 3 5 1 6 0 8 1 6 8 9 9 6 9 9 2 3 1 1 1 3 1 7 0 9 2 2 7 3 7 7 1 4 4 2 1 1 3 1 1 1 1 8 0 7 8 5 1 5 9 3 8 1 3 2 3 2 3 1 1 1 5 2 2 2 3 6 1 8 0 8 1 6 1 1 2 9 9 6 1 3 1 1 3 1 2 1 1 7 0 6 6 5 1 6 1 6 2 3 2 1 3 1 2 1 8 0 7 4 8 4 1 7 1 3 1 1 1 3 2 3 2 1 2 4 1 3 3 5 3 5 1 8 0 8 6 1 6 2 5 1 6 6 3 1 3 1 1 1 3 3 1 6 0 9 3 1 6 5 4 8 1 7 4 3 3 3 3 1 1 1 6 0 11 4 7 1 5 2 6 4 8 1 4 5 3 1 3 1 2 3 5 4 5 1 2 3 5 1 9 0 6 4 5 1 6 1 8 3 1 3 2 3 2 1 3 1 1 6 0 11 2 6 6 1 9 1 3 7 9 8 8 3 1 1 2 1 1 1 8 0 8 1 2 8 3 7 4 5 1 1 2 3 3 3 2 3 1 3 1 5 1 3 4 4 5 4 3 5 7 2 5 4 3 5 1 7 0 9 7 2 5 1 1 3 9 1 8 1 2 1 1 1 3 1 1 7 0 10 1 1 2 8 8 6 8 3 5 5 1 3 2 1 2 1 3 1 9 0 9 8 5 9 4 9 1 5 1 1 3 3 3 1 3 1 1 2 3 2 1 2 3 1 3 6 1 9 0 7 2 9 8 8 1 4 5 1 3 3 1 1 2 3 2 2 1 5 0 6 1 6 3 7 3 2 1 3 1 2 3 1 8 0 8 7 1 1 8 1 7 1 8 1 2 2 3 2 1 2 1 1 5 2 4 1 5 3 4 1 6 0 8 5 6 6 1 8 5 5 1 2 2 3 1 3 2 1 9 0 9 6 6 2 5 1 3 2 2 3 1 1 1 1 3 3 3 1 3 1 5 0 8 1 9 5 3 6 8 1 6 3 2 3 1 2 3 5 3 4 3 5 1 8 0 8 7 1 4 5 2 9 1 1 2 3 3 3 1 1 2 2 1 9 0 8 6 1 2 4 5 2 6 2 1 3 2 3 1 1 2 2 1 1 6 0 8 7 5 1 2 7 4 6 6 1 1 1 1 1 2 4 1 5 3 3 3 5 1 7 0 10 2 2 1 9 4 3 9 3 4 1 3 1 1 1 2 3 3 1 5 0 7 7 1 3 4 5 7 2 3 3 2 1 3 1 9 0 10 4 2 2 4 1 1 5 1 5 7 1 1 3 1 2 1 3 1 1 2 5 5 2 5 6 5 5 5 5 5 3 5 1 5 0 11 1 7 1 1 7 2 7 8 4 8 2 2 1 3 1 1 1 7 0 6 8 4 4 6 9 1 1 2 2 2 1 2 3 1 8 0 9 1 4 9 6 1 2 5 2 6 1 3 1 2 1 3 1 1 3 1 4 4 4 3 4 1 9 0 9 7 6 1 1 4 6 1 6 8 1 1 1 2 2 1 1 2 3 1 5 0 9 6 5 7 9 7 7 2 1 3 3 1 2 2 1 1 6 0 8 9 5 1 7 2 5 1 6 3 1 3 3 3 1 5 2 4 2 3 6 1 7 0 7 1 8 1 1 1 7 7 3 3 1 3 1 2 2 1 6 0 7 9 3 1 4 3 9 1 3 1 3 3 3 1 1 6 0 6 9 7 1 3 1 3 1 3 1 3 1 1 1 5 2 3 4 2 3 4 1 7 0 7 5 8 9 1 5 4 7 1 1 3 3 2 1 1 1 8 0 11 9 6 1 2 8 9 4 6 9 1 6 1 1 2 3 3 3 1 3 1 8 0 10 4 2 1 4 2 4 9 6 2 8 3 1 2 2 2 1 2 1 1 1 2 1 3 7 1 9 0 8 8 4 9 9 4 6 5 1 2 1 1 1 1 2 2 1 2 1 9 0 7 9 3 9 3 3 1 4 1 3 3 3 1 2 1 3 1 1 8 0 10 2 5 4 1 4 6 4 3 7 4 1 3 2 2 1 1 1 1 1 3 3 4 5 2 1 3 1 3 6 5 4 4 3 4 1 7 0 11 3 8 6 1 3 1 2 2 5 9 8 1 3 1 3 3 2 3 1 6 0 9 9 6 5 2 1 9 5 1 5 1 1 2 3 3 2 1 7 0 8 6 1 7 5 8 1 4 9 1 1 1 2 2 3 1 1 3 3 4 3 5 1 6 0 10 7 2 3 3 1 7 2 5 6 1 3 1 1 1 3 1 1 9 0 7 9 7 1 6 5 7 1 1 3 1 1 1 2 1 3 2 1 8 0 8 6 8 6 1 4 1 2 5 1 3 2 1 1 1 1 1 5 3 3 2 5 3 5 1 7 0 11 1 4 5 3 5 2 6 7 8 3 1 1 2 3 2 1 3 1 1 6 0 9 1 5 2 7 4 2 5 6 3 1 2 1 2 3 2 1 7 0 8 1 1 7 1 6 2 6 3 3 1 2 1 1 1 3 5 1 4 5 5 3 4 1 9 0 8 4 1 7 3 6 3 3 9 1 3 3 1 2 1 1 3 1 1 9 0 8 7 4 5 1 7 6 1 6 1 3 1 3 2 1 3 3 1 1 9 0 11 3 2 5 6 3 3 1 7 3 5 8 1 3 1 2 1 3 1 1 2 2 3 5 5 5 4 3 4 5 5 3 5 1 9 0 11 2 5 3 4 8 1 9 9 1 8 4 3 2 2 2 1 3 1 3 3 1 9 0 9 8 6 6 5 8 1 9 1 8 1 2 3 1 2 3 1 3 2 1 6 0 8 6 2 8 1 5 4 4 6 3 3 1 3 1 3 2 3 3 2 5 3 4 1 5 0 10 5 1 6 3 2 7 4 3 1 8 3 2 1 1 1 1 8 0 10 3 5 2 5 1 2 4 1 9 1 2 2 2 1 1 2 3 3 1 5 0 7 6 1 2 4 2 1 8 1 3 1 2 2 2 2 4 4 3 4 1 8 0 6 9 1 4 3 5 3 2 2 2 1 2 1 1 3 1 7 0 9 8 5 1 9 2 1 2 6 6 3 1 1 2 2 3 1 1 9 0 9 1 9 1 7 9 2 3 2 3 1 3 1 3 3 2 3 3 2 4 1 1 2 3 7 1 9 0 10 1 6 1 6 3 2 8 9 1 1 2 2 1 3 3 1 1 3 1 1 8 0 11 8 8 3 9 4 1 1 3 5 9 4 1 1 2 1 3 2 1 3 1 5 0 8 2 5 3 4 2 1 8 5 2 1 2 1 2 5 2 5 4 3 2 3 3 4 1 7 0 7 1 4 9 5 8 5 5 1 2 2 1 2 1 2 1 9 0 8 1 8 3 1 6 7 6 6 1 1 3 1 2 1 1 1 2 1 6 0 6 9 9 1 3 7 6 2 3 3 1 2 3 4 5 3 3 3 7 2 1 4 4 5 3 4 1 9 0 8 2 7 4 4 2 4 1 3 3 2 2 3 1 2 1 1 2 1 7 0 8 1 1 6 9 5 4 4 6 1 1 1 1 2 2 2 1 7 0 6 7 8 1 3 3 4 1 1 1 1 1 2 2 5 2 2 4 3 6 1 8 0 8 9 2 1 5 9 7 1 5 2 2 2 1 1 3 1 1 1 6 0 11 7 5 8 9 1 6 7 9 8 1 6 1 2 1 2 1 1 1 9 0 9 5 8 4 1 3 4 1 2 7 3 2 1 2 2 1 3 3 1 2 5 1 1 3 2 3 4 1 7 0 8 4 8 1 1 1 3 2 1 2 1 3 2 2 1 1 1 9 0 6 9 5 4 4 1 1 3 1 3 1 1 1 1 1 2 1 7 0 9 9 8 6 5 1 3 9 1 8 2 3 1 1 3 2 1 3 2 1 5 3 6 1 5 0 10 9 1 5 4 7 9 2 6 7 7 3 1 1 1 2 1 8 0 9 5 7 4 1 1 3 4 1 1 3 1 1 2 1 2 3 3 1 5 0 7 9 3 7 1 9 1 7 2 1 1 1 2 2 3 2 5 2 3 1 3 4 3 4 5 5 3 5 1 5 0 10 4 9 4 7 6 3 7 9 9 1 1 3 3 1 2 1 5 0 10 2 1 1 9 4 2 5 2 2 2 2 1 1 3 1 1 6 0 7 1 1 4 7 2 3 6 1 3 1 1 1 2 3 4 5 3 3 3 6 1 6 0 8 7 8 8 2 1 7 8 4 1 2 1 2 3 1 1 9 0 9 2 7 1 6 1 7 9 7 2 2 2 1 1 2 2 1 1 2 1 8 0 7 8 7 1 8 1 5 8 1 1 3 1 1 2 2 3 1 4 3 1 5 3 3 4 1 7 0 9 3 5 6 1 7 1 8 6 1 2 1 1 2 3 3 1 1 6 0 7 3 9 3 7 9 1 7 1 3 3 3 2 3 1 9 0 10 4 1 6 7 6 8 9 7 8 6 2 2 2 3 1 1 1 2 3 5 3 2 1 3 6 1 5 0 10 9 4 8 8 1 9 9 1 8 4 3 1 1 1 3 1 5 0 10 7 9 7 3 8 1 1 5 8 2 1 1 1 1 3 1 5 0 7 9 4 4 8 9 1 6 2 1 1 1 2 2 1 3 4 4 3 3 6 1 9 0 8 4 3 3 5 8 3 1 8 1 3 3 2 3 1 3 1 2 1 9 0 11 8 1 8 3 1 3 1 8 6 4 8 2 1 1 2 1 1 1 1 1 1 8 0 9 2 9 7 1 5 8 2 1 8 1 1 3 3 2 1 1 1 2 2 4 5 3 2 3 1 3 4 6 5 3 3 7 1 8 0 9 2 4 6 6 1 9 4 6 1 1 1 3 2 3 1 1 1 1 7 0 6 2 9 5 4 2 1 1 3 3 1 1 1 3 1 9 0 10 4 1 3 4 1 3 1 8 3 2 3 1 2 2 3 2 1 3 1 1 1 3 1 5 5 2 3 4 1 8 0 6 9 1 9 3 5 1 1 1 3 1 1 2 1 1 1 9 0 11 7 3 4 6 9 1 3 1 1 1 4 1 2 3 3 2 3 3 1 3 1 5 0 6 7 1 5 9 6 3 2 1 2 3 1 5 3 1 1 3 7 1 7 0 9 1 5 2 4 6 2 1 8 6 2 3 3 3 1 2 2 1 7 0 10 5 3 9 2 9 7 8 5 1 4 2 2 1 2 3 2 3 1 5 0 11 7 5 5 7 7 1 2 5 1 7 2 3 2 1 2 1 3 1 5 1 1 1 1 3 7 1 9 0 6 1 3 5 7 4 7 1 1 2 3 1 1 1 1 2 1 7 0 9 9 1 6 4 8 4 2 2 1 1 3 3 1 3 1 2 1 5 0 6 1 4 6 9 1 7 3 1 2 1 1 1 5 5 3 2 3 1 3 4 1 8 0 9 2 8 4 5 3 9 6 1 4 1 3 3 1 1 1 2 2 1 5 0 8 8 5 3 8 7 1 8 2 1 2 3 3 2 1 7 0 6 4 7 7 1 4 6 1 2 1 1 2 1 1 3 5 4 2 4 5 2 1 5 3 8 3 5 10 3 7 11 8 4 3