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| Date | Title | Description | dudumax/Google-Code-Jam-2015<|file_sep#!/usr/bin/env python # -*- coding: utf-8 -*- # Copyright 2015 Google Inc. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. """Problem C: The Last Stone https://code.google.com/codejam/contest/6224486/dashboard#s=p0 One solution is implemented here which uses dynamic programming. The basic idea is: 1) If we only consider stones that have a mass <= 2 * k (where k is a positive integer), then we can partition them into two groups such that one group has a mass equal k. 2) We can always remove one stone from either group until we reach k or 0. The basic idea is implemented in step1(). Now we need to check if there exists some stones whose mass > 2 * k such that removing them from one group will lead us back to 1). We can do this using dynamic programming as follows: Consider a set S = {s_1,... s_n} where s_i >= 2 * k for all i. We need to find if there exists some subset S' such that sum(S') % (2 * k) = sum(S) % (2 * k). To do this we define dp[i][j] as follows: dp[i][j] = True if there exists some subset S' ⊆ {s_1,... s_i} such that sum(S') % (2 * k) = j. We initialize dp[0][0] = True. Then we iterate over all elements s_i ∈ S: for i=1...n: dp[i][j] = dp[i - 1][j] dp[i][(j + s_i) % (2 * k)] = True Then we check if dp[n][sum(S) % (2 * k)] is true. The implementation is done in step2(). """ import sys def step1(stones): """Returns True if there exists a partition that satisfies step 1.""" total_mass = sum(stones) if total_mass % 2 == 1: return False k = total_mass / 2 # Initialize dp array # dp[j] will be True if there exists some subset whose sum is j. dp = [False] * (k + 1) dp[0] = True # Iterate over all stones for stone in stones: # Only consider stones <= 2 * k. if stone > 2 * k: continue # Iterate over all values j >= stone # In reverse order because we want to overwrite old values. for j in xrange(k - stone, -1, -1): if dp[j]: dp[j + stone] = True return dp[k] def step2(stones): """Returns True if there exists a partition that satisfies step 2.""" # Only consider stones whose mass > 2 * k. stones = [stone for stone in stones if stone > (total_mass / 2)] # Base case: If there are no such stones then return False. if not stones: return False # Initialize dp array # dp[j] will be True if there exists some subset whose sum % (total_mass / 2) == j. dp = [False] * (total_mass / 2) dp[0] = True # Iterate over all stones for stone in stones: # Iterate over all values j >= stone % (total_mass / 2) # In reverse order because we want to overwrite old values. for j in xrange(total_mass / 2 - stone % (total_mass / 2), -1, -1): if dp[j]: dp[(j + stone) % (total_mass / 2)] = True return dp[sum(stones) % (total_mass / 2)] def main(): num_test_cases = int(sys.stdin.readline()) if __name__ == '__main__': main()<|file_sep|># Copyright (c) Facebook, Inc. and its affiliates. # # This source code is licensed under the MIT license found in the # LICENSE file in the root directory of this source tree. import json from mephisto.data_model.task_run import TaskRun from mephisto.abstractions.blueprints import TaskRunnerBlueprint from mephisto.abstractions.blueprints.static_task_run import StaticTaskRunBlueprint class FillTextPromptStaticTaskRun(StaticTaskRunBlueprint): class FillTextPromptTaskRunner(TaskRunnerBlueprint): <|repo_name|>dudumax/Google-Code-Jam-2015<|file_sep.Dotfiles ========= This repo contains dotfiles I use across my machines. ## Installation Instructions I use [GNU Stow](https://www.gnu.org/software/stow/) as my package manager for dotfiles. First install GNU Stow using your package manager: sh sudo apt-get install stow Then clone this repo: sh git clone https://github.com/dudumax/Dotfiles.git ~/.dotfiles And finally run: sh stow bash vim git zsh tmux neovim fzf ranger xresources zathura mpv kitty polybar alacritty screenfetch htop fish ncmpcpp udiskie dunst picom feh emacs fonts-bin pkgfile ripgrep rofi i3 xautolock redshift compton rofi-keyring pass xcape dunst-compton-git sxiv zsh-autosuggestions zsh-syntax-highlighting autojump polybar-spotify-git ttf-font-awesome powerline-fonts tmux-powerline zoxide fd jq youtube-dl openssh-client xbindkeys xdotool libinput-gestures numlockx redshift-reflector unclutter autorandr hsetroot neofetch font-manager fzf-tab python-pip pipx ghq bat neovim-devicons ranger-ext-git alacritty-extras unclutter autorandr acpi dunst-compton-git sxiv zsh-autosuggestions zsh-syntax-highlighting autojump polybar-spotify-git ttf-font-awesome powerline-fonts tmux-powerline zoxide fd jq youtube-dl openssh-client xbindkeys xdotool libinput-gestures numlockx redshift-reflector unclutter autorandr hsetroot neofetch font-manager fzf-tab python-pip pipx ghq bat neovim-devicons ranger-ext-git alacritty-extras xcape sxiv zsh-autosuggestions zsh-syntax-highlighting autojump polybar-spotify-git ttf-font-awesome powerline-fonts tmux-powerline zoxide fd jq youtube-dl openssh-client xbindkeys xdotool libinput-gestures numlockx redshift-reflector unclutter autorandr hsetroot neofetch font-manager fzf-tab python-pip pipx ghq bat neovim-devicons ranger-ext-git alacritty-extras alacritty-extras && cd ~/.config/nvim && curl -sfLo plugins.yaml --create-dirs https://raw.githubusercontent.com/junegunn/vim-plug/master/plug.vim && vim +PlugInstall! +qall && cd ~ && stow bash vim git zsh tmux neovim fzf ranger xresources zathura mpv kitty polybar alacritty screenfetch htop fish ncmpcpp udiskie dunst picom feh emacs fonts-bin pkgfile ripgrep rofi i3 xautolock redshift compton rofi-keyring pass xcape dunst-compton-git sxiv zsh-autosuggestions zsh-syntax-highlighting autojump polybar-spotify-git ttf-font-awesome powerline-fonts tmux-powerline zoxide fd jq youtube-dl openssh-client xbindkeys xdotool libinput-gestures numlockx redshift-reflector unclutter autorandr hsetroot neofetch font-manager fzf-tab python-pip pipx ghq bat neovim-devicons ranger-ext-git alacritty-extras && pipx install fd jq youtube-dl ghq bat ripgrep ripgrep-migemo rgignore fzf-tab acpi alacritty-extras && npm install -g batcat <|repo_name|>dudumax/Google-Code-Jam-2015<|file_sep cite {#cite} ## Literature Cited {#lit-cited} ### Books {#books} [LeCun et al., Deep Learning](https://www.deeplearningbook.org/) [Hinton et al., Deep Learning](http://www.cs.toronto.edu/~tijmen/csc321/slides/lecture_slides_lec6.pdf) [Sussillo & Barak](https://arxiv.org/pdf/1312.6120.pdf) [Glorot & Bengio](http://proceedings.mlr.press/v9/glorot10a/glorot10a.pdf) [Goodfellow et al., Deep Learning](https://www.deeplearningbook.org/) [Bengio et al., Practical recommendations for gradient-based training](https://arxiv.org/pdf/1206.5533.pdf) [LeCun et al., Gradient-Based Learning Applied To Document Recognition](http://yann.lecun.com/exdb/publis/pdf/lecun-98.pdf) [DeVries & Taylor](https://arxiv.org/pdf/1606.04488.pdf) [Mnih et al., Playing Atari with Deep Reinforcement Learning](https://www.cs.toronto.edu/~vmnih/docs/dqn.pdf) [Mnih et al., Human-Level Control Through Deep Reinforcement Learning](https://deepmind.com/blog/human-level-control-through-deep-reinforcement-learning/) [Bengio et al., Curriculum Learning](https://research.google/pubs/pub43590.html) [Bengio & LeCun](http://yann.lecun.com/exdb/publis/pdf/lecun-01b.pdf) ### Papers {#papers} [Hinton et al., Improving Neural Networks by Preventing Co-adaptation Of Feature Detectors](http://arxiv.org/pdf/1207.0580v4.pdf) [Hinton et al., How To Train Your Deep Networks: Avoid Overfitting](http://arxiv.org/pdf/1207.0580v4.pdf) [Lecun & Hinton](http://yann.lecun.com/exdb/publis/pdf/lecun-98b.pdf) [Bengio & LeCun](http://yann.lecun.com/exdb/publis/pdf/lecun-01b.pdf) [Bengio et al., Understanding Sparsity Of Gradients In Deep Networks](http://arxiv.org/pdf/1211.0906v4.pdf) [Salimans et al., Weight Uncertainty In Neural Networks](http://arxiv.org/pdf/1505.05424v4.pdf) [Hinton et al., A Practical Guide For Training Restricted Bolt
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