From dff7fc9018c76c463ffa5c2326fb603cfc3ed328 Mon Sep 17 00:00:00 2001 From: arthur Date: Tue, 7 Apr 2026 23:12:21 -0300 Subject: [PATCH] chore: build all pdfs --- .../analise-de-dados-tutorial.pdf | Bin 0 -> 115880 bytes .../analise-de-dados-tutorial.tex | 44 +++++++++++++ analise-de-dados/analise-de-dados.pdf | Bin 196612 -> 93660 bytes analise-de-dados/statement/tutorial.tex | 31 ++++++++++ argus/argus-tutorial.pdf | Bin 0 -> 62605 bytes argus/argus-tutorial.tex | 24 ++++++++ argus/argus.pdf | Bin 140548 -> 65057 bytes bolhas/bolhas-tutorial.pdf | Bin 95120 -> 95120 bytes bolhas/bolhas.pdf | Bin 88946 -> 88946 bytes .../breakdown-desastroso-tutorial.pdf | Bin 0 -> 83474 bytes .../breakdown-desastroso-tutorial.tex | 31 ++++++++++ breakdown-desastroso/breakdown-desastroso.pdf | Bin 159204 -> 84057 bytes caching-offline/caching-offline-tutorial.pdf | Bin 74514 -> 74514 bytes caching-offline/caching-offline.pdf | Bin 99694 -> 99694 bytes .../conversor-fonetico-generico-tutorial.pdf | Bin 84915 -> 84915 bytes .../conversor-fonetico-generico.pdf | Bin 87173 -> 87173 bytes decode-ways/decode-ways-tutorial.pdf | Bin 96427 -> 96427 bytes decode-ways/decode-ways.pdf | Bin 67071 -> 67051 bytes delete-and-earn/delete-and-earn-tutorial.pdf | Bin 84996 -> 84996 bytes delete-and-earn/delete-and-earn.pdf | Bin 83013 -> 82993 bytes dominancia-de-pontos/dominancia-de-pontos.pdf | Bin 91975 -> 91975 bytes edit-distance/edit-distance-tutorial.pdf | Bin 103871 -> 103871 bytes edit-distance/edit-distance.pdf | Bin 77461 -> 77461 bytes estouro/estouro-tutorial.pdf | Bin 0 -> 133980 bytes estouro/estouro-tutorial.tex | 52 ++++++++++++++++ estouro/estouro.pdf | Bin 177313 -> 90457 bytes estouro/statement/tutorial.tex | 39 ++++++++++++ flowers/flowers-tutorial.pdf | Bin 96075 -> 96075 bytes flowers/flowers.pdf | Bin 80754 -> 80735 bytes .../inclusao-de-subintervalos.pdf | Bin 94853 -> 94834 bytes .../knapsack-zero-one-tutorial.pdf | Bin 106695 -> 106695 bytes knapsack-zero-one/knapsack-zero-one.pdf | Bin 84373 -> 84352 bytes knight-moves/knight-moves-tutorial.pdf | Bin 95316 -> 95316 bytes knight-moves/knight-moves.pdf | Bin 149509 -> 149488 bytes .../longest-common-subsequence-tutorial.pdf | Bin 113874 -> 113874 bytes .../longest-common-subsequence.pdf | Bin 81152 -> 81134 bytes ...est-increasing-subsequence-II-tutorial.pdf | Bin 113050 -> 113050 bytes .../longest-increasing-subsequence-II.pdf | Bin 82442 -> 82442 bytes ...ongest-increasing-subsequence-tutorial.pdf | Bin 133039 -> 133039 bytes .../longest-increasing-subsequence.pdf | Bin 81995 -> 81995 bytes ...ngest-palindromic-subsequence-tutorial.pdf | Bin 101623 -> 101623 bytes .../longest-palindromic-subsequence.pdf | Bin 63598 -> 63598 bytes .../maximum-subarray-sum-tutorial.pdf | Bin 114447 -> 114447 bytes maximum-subarray-sum/maximum-subarray-sum.pdf | Bin 78340 -> 78322 bytes min-sum-path-2d/min-sum-path-2d-tutorial.pdf | Bin 88728 -> 88728 bytes min-sum-path-2d/min-sum-path-2d.pdf | Bin 86093 -> 67990 bytes min-sum-path-2d/min-sum-path-2d.tex | 58 +----------------- .../o-problema-dos-pacotes-viajantes.pdf | Bin 199758 -> 96098 bytes .../o-problema-dos-pacotes-viajantes.tex | 2 +- rod-cutting/rod-cutting-tutorial.pdf | Bin 128064 -> 128064 bytes rod-cutting/rod-cutting.pdf | Bin 84730 -> 84710 bytes sliding-puzzle/sliding-puzzle-tutorial.pdf | Bin 94503 -> 94503 bytes sliding-puzzle/sliding-puzzle.pdf | Bin 69787 -> 69766 bytes subset-sum/subset-sum.pdf | Bin 84258 -> 84239 bytes .../unconventional-pairs-tutorial.pdf | Bin 112737 -> 112737 bytes unconventional-pairs/unconventional-pairs.pdf | Bin 109779 -> 109761 bytes unconventional-pairs/unconventional-pairs.tex | 2 +- vacations/vacations.pdf | Bin 87235 -> 87215 bytes 58 files changed, 224 insertions(+), 59 deletions(-) create mode 100644 analise-de-dados/analise-de-dados-tutorial.pdf create mode 100644 analise-de-dados/analise-de-dados-tutorial.tex create mode 100644 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b/analise-de-dados/analise-de-dados-tutorial.tex @@ -0,0 +1,44 @@ +\documentclass[10pt]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath,amsthm,amssymb} +\usepackage{fullpage} +\usepackage{url} +\pagenumbering{gobble} +\usepackage{hyperref} + +\title{ Tutorial: Análise de Dados} +\author{Leetcode 1223} +\date{} +\begin{document} +\maketitle +O problema pode ser resolvido por meio de uma abordagem de \textbf{programação dinâmica}, onde calculamos o número de sequências válidas de lançamentos de dados até cada posição, levando em consideração qual foi a última face sorteada e quantas vezes ela apareceu consecutivamente. + +A principal restrição é que cada face \( i \) (\(1 \le i \le 6\)) só pode aparecer no máximo \( d_i \) vezes seguidas. Assim, ao adicionar um novo lançamento à sequência, precisamos garantir que essa condição nunca seja violada. + +Definimos a seguinte estrutura de DP: + +\[ +dp[i][j] = \text{número de sequências válidas de comprimento } i \text{ cuja última face lançada é } j +\] + +Para lidar com o número de repetições consecutivas, expandimos a ideia considerando blocos consecutivos de uma mesma face. +Para cada face \( k \), podemos adicioná-la de \(1\) até \(d_k\) vezes, desde que a sequência anterior termine com uma face diferente de \(k\). + +Assim, a função de transição é dada por: +\[ +dp[i][k] = \sum_{j \ne k} \sum_{x = 1}^{\min(d_k, i)} dp[i - x][j] +\] +onde o termo \(dp[i - x][j]\) representa o número de sequências de comprimento \(i - x\) que terminam com uma face diferente de \(k\), às quais adicionamos \(x\) ocorrências consecutivas da face \(k\). + +As condições iniciais são: +\[ +dp[0][j] = 1, \quad \forall j \in \{1, 2, 3, 4, 5, 6\} +\] +representando a sequência vazia inicial, que serve como base para as transições. + +A resposta final será a soma de todas as formas possíveis de terminar a sequência de comprimento \(n\): +\[ +\sum_{j=1}^{6} dp[n][j] \bmod (10^9 + 7) +\] + +A complexidade temporal dessa solução é \(O(n \times 6 \times \text{max}(d_i))\), pois para cada posição e cada face consideramos até \(d_i\) possíveis comprimentos de repetições.\end{document} diff --git a/analise-de-dados/analise-de-dados.pdf b/analise-de-dados/analise-de-dados.pdf index ee4f6c27d10cd0f82d05c2b5257f3966024011fa..4c2f5286745c7c34800040a71bd2c1fcbb763209 100644 GIT binary patch delta 57563 zcma%jby(DE*Yz-TcQ;7a3`2KHcXy{CT>{R4G)N;MT@orO(v4EmNQlycJB&XF(+`l=Z;t^5Frat{k&>rtZP}0dH2I;xwGx! zva4}kIfcA9`Ds7^b&Zf^w1mj3px4V+IiWxNgG*iwTLwhGz*?xIN)$M_Pwo5O-6MUx z)p7p%^jmbb@cv6FOQ=dA4oPhCkUODJ+v(@I<$g!}b!j(+mo__HUWRR8!|nIZfgVC0 zH4j^eMi5my(g2atI4E zW)A1pyl($w?>_s<_1R_X#>sGNL8n91aX2H(;mX`qyBKX7-4n_$4fNHYo8@=WncRI@ zGp5v?%O6uKM&| zq!`=1O1j}|YpM2F1p z6^sxNzZ@ppp0%f 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Nd7ty259oK3JY-og_uQIxkSDR3UYA@ zGO;kTu?Y&Zv2%(D0+|H)0spnh$5W(@tW7?`5@z6kf4~-Vj1LJ63?*p$Qu8zugmroe zu5l>ez zlDrTBI_vZ|ybs+e!d=+|BdqcEWigM9@?5V>r0Jf;TF=*!$G|tW;Yq8t!eqURMUmea jFA!TDXypIe$PSKr_KvO}K@}W35C~+4BPSP;6@~j>-Z6bL literal 0 HcmV?d00001 diff --git a/argus/argus-tutorial.tex b/argus/argus-tutorial.tex new file mode 100644 index 0000000..23f8210 --- /dev/null +++ b/argus/argus-tutorial.tex @@ -0,0 +1,24 @@ +\documentclass[10pt]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath,amsthm,amssymb} +\usepackage{fullpage} +\usepackage{url} +\pagenumbering{gobble} +\usepackage{hyperref} + +\title{ Tutorial: Argus} +\author{UVA - 1203} +\date{} +\begin{document} +\maketitle +Para resolver o problema, utilizaremos uma \textbf{fila de prioridade (min-heap)} que armazenará os instantes em que cada medicamento deve ser tomado novamente, juntamente com o nome do medicamento. Dessa forma, sempre poderemos determinar facilmente qual é o próximo medicamento a ser administrado. + +Inicialmente, inserimos na fila todos os medicamentos com o tempo de sua \textit{primeira dose}. Em seguida, repetimos o seguinte processo até listar todas as doses necessárias: +\begin{enumerate} + \item Remover da fila o medicamento com o menor tempo de administração (isto é, o que deve ser tomado mais cedo). + \item Imprimir o nome do medicamento e o tempo. + \item Calcular o próximo instante em que esse medicamento deverá ser tomado, somando o seu intervalo de tempo ao instante atual. + \item Inserir novamente o medicamento na fila com o novo instante calculado. +\end{enumerate} + +Esse método garante que os medicamentos sejam listados em ordem cronológica, respeitando os intervalos de cada um e evitando que qualquer dose seja esquecida.\end{document} diff --git a/argus/argus.pdf b/argus/argus.pdf index db676fe8e160aec64311ba125c24356d5cff08d9..b7b81621e8b84f3e36f2be540a294016b76c8a02 100644 GIT binary patch delta 33647 zcmb5WWkA$h*FHSVFm!h_bi>ThN_RI%Hws9LD2NQ*4N6FtfJ%#iBHfK3pivuB?x1OoUF#|<;iFZzEjR_VI>?!QX{+agZN&Vy9>Z{ke?g*(*v;K`qGSr+TO!_kwd_GG@_r9y${PpZ1xjV(+H 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+\usepackage{hyperref} + +\title{ Tutorial: Estouro} +\author{Leetcode 312} +\date{} +\begin{document} +\maketitle +\section{Solução do Problema} + +O problema de maximizar a energia ao estourar balões pode ser resolvido de forma eficiente por meio de \textbf{programação dinâmica em intervalos}. A grande sacada para modelar este problema é pensar no processo de trás para frente: em vez de tentar adivinhar qual balão estourar primeiro, o que muda constantemente os vizinhos dos balões restantes, escolhemos qual será o \textbf{último balão} a ser estourado em um determinado subintervalo. + +Para lidar com as bordas da fileira sem precisar de múltiplos \texttt{if}s, adicionamos balões virtuais com valor $1$ nas extremidades. + +\subsection{Definição do Subproblema} + +Seja a nossa fileira de balões original de tamanho $N$. Criamos um novo vetor $B$ de tamanho $N+2$, onde $B[0] = 1$, $B[N+1] = 1$, e as posições de $1$ a $N$ recebem os valores fornecidos. + +Definimos o nosso estado da programação dinâmica como: + +$$dp[i][j] = \text{a quantidade máxima de energia obtida ao estourar todos os balões no intervalo } [i, j].$$ + +Assim, $dp[1][N]$ representará a nossa resposta ótima, correspondente ao intervalo que engloba todos os balões reais. + +\subsection{Função de Transição} + +Para calcular $dp[i][j]$, vamos iterar por um pivô $k$ (com $i \le k \le j$) que representa o \textbf{último balão} a ser estourado dentro desse subintervalo. + +Como $k$ é o último a sobreviver entre $i$ e $j$, todos os outros balões internos já foram estourados. Consequentemente, no exato momento da explosão de $k$, seus vizinhos diretos garantidamente serão $B[i-1]$ e $B[j+1]$. A energia liberada por esse estopim final será $B[i-1] \times B[k] \times B[j+1]$. + +O valor total do intervalo será a soma da energia desse balão $k$ com as energias máximas dos subproblemas que o antecederam na ordem cronológica de explosão: o intervalo à esquerda ($i$ até $k-1$) e o intervalo à direita ($k+1$ até $j$). Portanto: + +$$dp[i][j] = \max_{i \le k \le j} \big( dp[i][k-1] + B[i-1] \cdot B[k] \cdot B[j+1] + dp[k+1][j] \big)$$ + +\subsection{Casos Base} + +Os casos base da nossa recursão (ou inicialização da matriz) ocorrem para intervalos vazios, ou seja, quando o índice de início ultrapassa o índice de fim ($i > j$). Nesses casos, como não há balões para estourar, a energia liberada é naturalmante nula: + +$$dp[i][j] = 0 \quad \text{para todo } i > j$$ + +Como a implementação iterativa inicializa a matriz completa com zeros, essa condição já é suprida por padrão. + +\subsection{Recuperação da Decomposição (Ordem das explosões)} + +Para além da energia máxima $dp[1][N]$, frequentemente queremos também a sequência de explosões que atinge esse valor. Para isso, mantemos uma matriz auxiliar \texttt{cut[i][j]} durante a computação, que armazena o índice $k$ responsável pelo maior ganho em $dp[i][j]$. + +Após preencher $dp$ e \texttt{cut}, criamos uma função recursiva para reconstruir a resposta. Ao chamarmos a função para o intervalo $[1, N]$, descobrimos o pivô $k = \texttt{cut}[1][N]$. Sabemos que $k$ é o \textit{último} balão estourado. Em seguida, chamamos recursivamente para os subintervalos $[1, k-1]$ e $[k+1, N]$. Ao empilharmos esses balões, obtemos a sequência cronológica invertida; basta inverter a lista no final para obtermos a sequência exata das explosões.\end{document} diff --git a/estouro/estouro.pdf b/estouro/estouro.pdf index 0202cdb05c890dd8a8aee8274318cfdaf3c0a60f..94e46b130186db9219301e59bd7fb9feeaf9ce55 100644 GIT binary patch delta 48305 zcma%jWmpt!(C#jYrHcEB8aK^Y4 zuuQJgH|nv_&cFbl-36@#r-o3{>_6|SCOrq=3H!h;3uCee2?$b z_$#!w`Eqab8%?fTz!B!5PmkAD&R+KC-~rQRnQd~Py+wBamUF`O(?zuizQkO`tH@F{_ z7;$CPEdCi3XWc@z7e8g_4D)(cTG0FL0gH~sG{;@}RNS%64JL?w$b#XLd%<>l_|w}p!N%kR4)ENznq=J54@`vz~y~~kOvpLC?eU_7Ndt|)JGI|lXndk&wQj)iV;-xd}|}My12}^lNbh-b>4f3I&QWMz4q5NPxVG+p$)s^AA*QJmDkqPHlz;(k9$)0Y?@=8eeKkfteiy2QzRVwPjCMqI=j$C}wv5u7 zqi0q9g)bV)a>-lQByrQ%nm>=E2GicnEUq1T+fbmee?aS z{qUs=e#g65!v6IeQi+&T+D9rFo#AA!>04k_L{e$#^u#Su<9-^}Q?{v6({Z8g4W5Dx zJcqO-d#R5;`D1$=iKiufSFK^H-2S+ zFmPbqM=|+olms9xWsO8lhd#LEV?^oqCL*cno2Lz8Q4r8-Qv`Zww|lU%9g@Z3?dTuJzJwG-v9;>=t~)l;gTm%bz!S&ilYY 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e69de29..ca58e03 100644 --- a/estouro/statement/tutorial.tex +++ b/estouro/statement/tutorial.tex @@ -0,0 +1,39 @@ +\section{Solução do Problema} + +O problema de maximizar a energia ao estourar balões pode ser resolvido de forma eficiente por meio de \textbf{programação dinâmica em intervalos}. A grande sacada para modelar este problema é pensar no processo de trás para frente: em vez de tentar adivinhar qual balão estourar primeiro, o que muda constantemente os vizinhos dos balões restantes, escolhemos qual será o \textbf{último balão} a ser estourado em um determinado subintervalo. + +Para lidar com as bordas da fileira sem precisar de múltiplos \texttt{if}s, adicionamos balões virtuais com valor $1$ nas extremidades. + +\subsection{Definição do Subproblema} + +Seja a nossa fileira de balões original de tamanho $N$. Criamos um novo vetor $B$ de tamanho $N+2$, onde $B[0] = 1$, $B[N+1] = 1$, e as posições de $1$ a $N$ recebem os valores fornecidos. + +Definimos o nosso estado da programação dinâmica como: + +$$dp[i][j] = \text{a quantidade máxima de energia obtida ao estourar todos os balões no intervalo } [i, j].$$ + +Assim, $dp[1][N]$ representará a nossa resposta ótima, correspondente ao intervalo que engloba todos os balões reais. + +\subsection{Função de Transição} + +Para calcular $dp[i][j]$, vamos iterar por um pivô $k$ (com $i \le k \le j$) que representa o \textbf{último balão} a ser estourado dentro desse subintervalo. + +Como $k$ é o último a sobreviver entre $i$ e $j$, todos os outros balões internos já foram estourados. Consequentemente, no exato momento da explosão de $k$, seus vizinhos diretos garantidamente serão $B[i-1]$ e $B[j+1]$. A energia liberada por esse estopim final será $B[i-1] \times B[k] \times B[j+1]$. + +O valor total do intervalo será a soma da energia desse balão $k$ com as energias máximas dos subproblemas que o antecederam na ordem cronológica de explosão: o intervalo à esquerda ($i$ até $k-1$) e o intervalo à direita ($k+1$ até $j$). Portanto: + +$$dp[i][j] = \max_{i \le k \le j} \big( dp[i][k-1] + B[i-1] \cdot B[k] \cdot B[j+1] + dp[k+1][j] \big)$$ + +\subsection{Casos Base} + +Os casos base da nossa recursão (ou inicialização da matriz) ocorrem para intervalos vazios, ou seja, quando o índice de início ultrapassa o índice de fim ($i > j$). Nesses casos, como não há balões para estourar, a energia liberada é naturalmante nula: + +$$dp[i][j] = 0 \quad \text{para todo } i > j$$ + +Como a implementação iterativa inicializa a matriz completa com zeros, essa condição já é suprida por padrão. + +\subsection{Recuperação da Decomposição (Ordem das explosões)} + +Para além da energia máxima $dp[1][N]$, frequentemente queremos também a sequência de explosões que atinge esse valor. Para isso, mantemos uma matriz auxiliar \texttt{cut[i][j]} durante a computação, que armazena o índice $k$ responsável pelo maior ganho em $dp[i][j]$. + +Após preencher $dp$ e \texttt{cut}, criamos uma função recursiva para reconstruir a resposta. Ao chamarmos a função para o intervalo $[1, N]$, descobrimos o pivô $k = \texttt{cut}[1][N]$. Sabemos que $k$ é o \textit{último} balão estourado. Em seguida, chamamos recursivamente para os subintervalos $[1, k-1]$ e $[k+1, N]$. 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TK7bM;ar=M(;O2%sg#-Qv!cuqV diff --git a/min-sum-path-2d/min-sum-path-2d.tex b/min-sum-path-2d/min-sum-path-2d.tex index 8d8dcf8..336d92d 100644 --- a/min-sum-path-2d/min-sum-path-2d.tex +++ b/min-sum-path-2d/min-sum-path-2d.tex @@ -33,61 +33,5 @@ Imprima um único inteiro representando o menor custo total para ir da célula s -\Notas - -\begin{itemize} - - \item \textbf{Exemplo 1} - \[ - n = 1,\quad m = 1,\quad - C = - \begin{bmatrix} - 5 - \end{bmatrix} - \] - Como há apenas uma célula, o caminho consiste apenas nela. - O menor custo é: - \[ - 5 - \] - - \item \textbf{Exemplo 2} - \[ - n = 2,\quad m = 2,\quad - C = - \begin{bmatrix} - 1 & 3 \\ - 2 & 4 - \end{bmatrix} - \] - Os caminhos possíveis são: - \begin{itemize} - \item Direita → Baixo: \( 1 + 3 + 4 = 8 \) - \item Baixo → Direita: \( 1 + 2 + 4 = 7 \) - \end{itemize} - Logo, o menor custo é: - \[ - 7 - \] - - \item \textbf{Exemplo 3} - \[ - n = 3,\quad m = 3,\quad - C = - \begin{bmatrix} - 1 & 2 & 3 \\ - 4 & 5 & 6 \\ - 7 & 8 & 9 - \end{bmatrix} - \] - O movimento sempre aumenta o custo, portanto o caminho ótimo é seguir pela primeira linha e depois descer: - \[ - 1 + 2 + 3 + 6 + 9 = 21 - \] - Assim, o menor custo para ir de \((0,0)\) a \((2,2)\) é: - \[ - 21 - \] - -\end{itemize}\end{ProblemaAutor} +\end{ProblemaAutor} \end{document} diff --git a/o-problema-dos-pacotes-viajantes/o-problema-dos-pacotes-viajantes.pdf b/o-problema-dos-pacotes-viajantes/o-problema-dos-pacotes-viajantes.pdf index af5988b498bb6fa002421cb53ed500197f86cadf..a7748d68dd0dd89c266e8bf24db44e11bb709dc7 100644 GIT binary patch delta 68802 zcma&NWl$XKvNZ|}?k>UIVQ_bMcXxNU4DRmk4ndRPF2UUrAV`o9BzS-j<`UWa?DOu_ zJ>OJO1qDCap4F>YH#6DDyJs-TlmIqPV45j1JxE`{V_h1v_gLo~UR!QVkS$mvpb5*S zPF;_dg}!5$kBrK3KnjW-f}bAzaJsrJ7LwAEhXqV1eEu|=NYqY8C46}N{$+V{S!YY{ z%{&9MW(kkaSDpdK(CI}%j=ZiP2djJQ>!%5CXznYW-qNT<){RcoLmQm|6BYWa6cQ4B%3jOn(Le*<{2IG=qDT&StKnZW zH@P_H4V=ACetewNb|~tGZl0mxxdX;%^W$T@<-I2?*tfGb4I|@`gc(R4jVN#Y9&!ST 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armazenar as encomendas em trânsito. Como se trata de uma pilha, apenas a encomenda localizada no topo pode ser retirada. Ao chegar a uma estação, o carrinho inicia o processo de \textbf{descarregamento}: ele retira do topo da pilha todas as encomendas destinadas àquela estação, uma a uma, depositando-as na plataforma A. Se encontrar uma encomenda destinada a outra estação, ele tenta colocá-la na fila da plataforma B, caso haja espaço disponível. Se a fila estiver cheia, o descarregamento é interrompido. +O carrinho possui uma pilha interna com capacidade limitada, utilizada para armazenar as encomendas em trânsito. Como se trata de uma pilha, apenas a encomenda localizada no topo pode ser retirada. Ao chegar a uma estação, o carrinho inicia o processo de \textbf{descarregamento}, retirando do topo da pilha as encomendas uma a uma. Cada encomenda é depositada na plataforma A da estação caso seu destino corresponda à estação atual; caso contrário, o carrinho tenta colocá-la na fila da plataforma B, desde que haja espaço disponível. Se a fila estiver cheia e o destino da encomenda no topo da pilha não corresponder à estação atual, o processo de descarregamento é interrompido. 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eNM=@29|+|n=ho-s5&^>WFeL_YakQx(!~X#+lIkM> diff --git a/unconventional-pairs/unconventional-pairs.tex b/unconventional-pairs/unconventional-pairs.tex index 7b46884..d393d0e 100644 --- a/unconventional-pairs/unconventional-pairs.tex +++ b/unconventional-pairs/unconventional-pairs.tex @@ -13,7 +13,7 @@ Determine o menor valor possível para essa diferença máxima. \Entrada -Cada teste consiste em vários casos de teste. A primeira linha contém um único inteiro \( t \) (\( 1 \le t \le 10^4 \)), indicando o número de casos de teste. +A entrada consiste em vários casos de teste. A primeira linha contém um único inteiro \( t \) (\( 1 \le t \le 10^4 \)), indicando o número de casos de teste. Para cada caso de teste: \begin{itemize} diff --git a/vacations/vacations.pdf b/vacations/vacations.pdf index 56225b191d1a5e0ee6958ac560aa91020ef9d12d..2698daabf7893da1ab635ff01abc0093d22b6702 100644 GIT binary patch delta 743 zcmX@Sl6Cz`)`l&N$&N~nF$M+(1t6jbL}Y@991sy>U;@Mj2IkXeIx;FSnr+|Z$f(1_ zZ3YxJH!?ObF}9fg(V0;KSzx<}3*#JKXA?&gS64#|XEP&bQ&Sf+15;xIOGig@3l}qE zHvx$4{mp`vw!{4eYNb1s?HQG}YqNL=Sm3NqvWB=@VpmiZ-2)fAD1S zXZ91^Og}XjD6oj^YSiWxnfdjcVZF+M75mp}2jsK!olJ*SVv`@U# z=UIFLbM@AZyg92_bmRVRYF;v#M|C#)#2bgsXKiiD^%@me>W}wM*%G8 delta 745 zcmZ3#lJ)RP)`l&N$&O}zF$M+(`5>YUM5Kag_$f(1_ZE9#}WME_jq>QKEb!L=67TD&(IEUBS$imUdz}Upd#nQmi0LXB0HZ-@e zG;p?Xvoy9eGBdPOupy*m`u#vg=laxTOCwH&Xc&iZwK{E8;OJ7~<8YGg=<3p7JHoj5 z(HaiF4x@}KQ#(5iwbYKa?zk{jyVsd#-JKaLI6Dn@9Z+QZ|37cvobvOhZNJYgp5Jkz zq`{*>Bh*x_M}#v(N${6pL&_vcm8my8ZBD9h?wq;9Q&3ZdRi#Cuqy3DEqgPM1i)Z}_ zTLCM^Lvqa@@)a&|F48Lb7uSmv~>}g&h0u_$Fqv>92zs?c#hGr=NY`B_)xxx!wAJho;2SbK#YT*X?Dz&bv!L zQf2lNjhz!0T`!tyBYAOR@W~@P`krab{Izzm&C)ZIt%@|Cb{(jHw~dMa-GonO4Ds{N miA@%I6uN4UWalocpZs+z>laOL4`Gz&G&SZ@Rdw}u;{pH{-6pC4