feat(DP): new dp problems formated

2025-11-04 21:14:50 -03:00
parent 669c13147b
commit 3b03c32703
925 changed files with 30660 additions and 0 deletions
--- a/flowers/Makefile
+++ b/flowers/Makefile
@@ -0,0 +1,97 @@
+# Normal directories
+SRC_DIR := src
+BIN_DIR := bin
+DBG_DIR := bin/debug
+
+# Grader directories
+GRADER := $(wildcard $(SRC_DIR)/grader.cpp)
+GRADER_DIR := $(SRC_DIR)/grader
+HANDLER_DIR := $(SRC_DIR)/handler
+
+GRADER_SRC := $(wildcard $(GRADER_DIR)/*.cpp)
+GRADER_BIN := $(patsubst $(GRADER_DIR)/%.cpp, $(BIN_DIR)/%, $(GRADER_SRC))
+GRADER_DBG := $(patsubst $(GRADER_DIR)/%.cpp, $(DBG_DIR)/%, $(GRADER_SRC))
+
+# Change CPP source directories if grader is defined
+ifdef GRADER
+	SRC := $(wildcard $(HANDLER_DIR)/*.cpp)
+	BIN := $(patsubst $(HANDLER_DIR)/%.cpp, $(BIN_DIR)/%, $(SRC))
+	DBG := $(patsubst $(HANDLER_DIR)/%.cpp, $(DBG_DIR)/%, $(SRC))
+else
+	SRC := $(wildcard $(SRC_DIR)/*.cpp)
+	BIN := $(patsubst $(SRC_DIR)/%.cpp, $(BIN_DIR)/%, $(SRC))
+	DBG := $(patsubst $(SRC_DIR)/%.cpp, $(DBG_DIR)/%, $(SRC))
+endif
+
+SRC_C := $(wildcard $(SRC_DIR)/*.c)
+BIN_C := $(patsubst $(SRC_DIR)/%.c, $(BIN_DIR)/%, $(SRC_C))
+DBG_C := $(patsubst $(SRC_DIR)/%.c, $(DBG_DIR)/%, $(SRC_C))
+
+SRC_JAVA := $(wildcard $(SRC_DIR)/*.java)
+BIN_JAVA := $(patsubst $(SRC_DIR)/%.java, $(BIN_DIR)/%.class, $(SRC_JAVA))
+DBG_JAVA := $(patsubst $(SRC_DIR)/%.java, $(DBG_DIR)/%.class, $(SRC_JAVA))
+
+CHECKER := $(wildcard $(SRC_DIR)/checker.cpp)
+
+C := gcc
+CPP := g++
+CXX_FLAGS := -Wall -O2
+DEBUG_FLAGS := -Wall -g
+BOCA_FLAGS := -static -DBOCA_SUPPORT
+
+JV = javac
+JV_DEBUG = -g
+JV_DIR = -d bin
+JV_DBG_DIR = -d bin/debug
+
+.PHONY: all debug release checker clean
+
+all: debug release checker
+
+debug: $(DBG) $(DBG_C) $(DBG_JAVA) $(GRADER_DBG) 
+
+release: $(BIN) $(BIN_C) $(BIN_JAVA) $(GRADER_BIN) 
+
+ifdef CHECKER
+checker: $(DBG_DIR)/checker-boca $(BIN_DIR)/checker-boca
+endif
+
+$(BIN): $(BIN_DIR)/% : $(SRC_DIR)/%.cpp | $(BIN_DIR)
+	$(CPP) $(CXX_FLAGS) $^ -o $@
+
+$(DBG): $(DBG_DIR)/% : $(SRC_DIR)/%.cpp | $(DBG_DIR)
+	$(CPP) $(DEBUG_FLAGS) $^ -o $@
+
+$(BIN_C): $(BIN_DIR)/% : $(SRC_DIR)/%.c | $(BIN_DIR)
+	$(C) $(CXX_FLAGS) $^ -o $@
+
+$(DBG_C): $(DBG_DIR)/% : $(SRC_DIR)/%.c | $(DBG_DIR)
+	$(C) $(DEBUG_FLAGS) $^ -o $@
+
+$(BIN_JAVA): $(BIN_DIR)/%.class : $(SRC_DIR)/%.java | $(BIN_DIR)
+	$(JV) $(JV_DIR) $^
+
+$(DBG_JAVA): $(DBG_DIR)/%.class : $(SRC_DIR)/%.java | $(DBG_DIR)
+	$(JV) $(JV_DEBUG) $(JV_DBG_DIR) $^ 
+
+$(GRADER_BIN): $(BIN_DIR)/% : $(GRADER_DIR)/%.cpp $(GRADER) $(GRADER_DIR)/*.h
+	$(CPP) $(CXX_FLAGS)  $^ -o $@
+
+$(GRADER_DBG): $(DBG_DIR)/% : $(GRADER_DIR)/%.cpp $(GRADER) $(GRADER_DIR)/*.h
+	$(CPP) $(DEBUG_FLAGS) $^ -o $@
+
+$(BIN_DIR):
+	mkdir -p $@
+
+$(DBG_DIR):
+	mkdir -p $@
+
+$(BIN_DIR)/checker-boca: $(SRC_DIR)/checker.cpp
+	$(CPP) $(CXX_FLAGS) $(BOCA_FLAGS) $^ -o $@ 
+
+$(DBG_DIR)/checker-boca: $(SRC_DIR)/checker.cpp
+	$(CPP) $(DEBUG_FLAGS) $(BOCA_FLAGS) $^ -o $@ 
+
+clean:
+	@echo Cleaning problem files
+	rm -rf bin
--- a/flowers/flowers.tex
+++ b/flowers/flowers.tex
@@ -0,0 +1,36 @@
+\documentclass{maratona}
+
+\begin{document}
+\begin{ProblemaAutor}{}{O problema das Flores}{1}{256}{}
+
+O problema consiste em determinar o número total de sequências de flores vermelhas e brancas de comprimento \(n\) tais que nunca existam mais de \(m\) flores consecutivas do mesmo tipo.  
+Cada posição da sequência contém exatamente uma flor, que pode ser vermelha ou branca.  
+O objetivo é contar quantas sequências distintas satisfazem a restrição de que o comprimento de qualquer bloco consecutivo de flores da mesma cor seja no máximo \(m\).
+
+\Entrada
+
+A entrada contém dois inteiros separados por espaço: \(n\) e \(m\).  
+\(n\) (\(1 \leq n \leq 10^4\)) é o comprimento da sequência de flores.  
+\(m\) (\(1 \leq m \leq 1000\)) é o número máximo permitido de flores iguais consecutivas.
+
+\Saida
+
+A saída deve conter um único inteiro, que representa o número total de sequências válidas de comprimento \(n\) sobre o alfabeto {vermelha, branca} que satisfazem a restrição de máximo \(m\) flores consecutivas do mesmo tipo.
+
+\ExemploEntrada
+\begin{Exemplo}
+\texttt{1~1} & \texttt{2}\\
+\rowcolor{gray!20}\texttt{2~2} & \texttt{4}\\
+\texttt{2~3} & \texttt{4}\\
+\end{Exemplo}
+
+
+
+\Notas
+
+Caso de teste 1: \(n=1, m=1\).  
+Para uma sequência de comprimento 1 existem duas opções: {vermelha} ou {branca}. Portanto, o número de sequências válidas é 2.
+
+Caso de teste 2: \(n=2, m=2\).  
+Como \(m \ge 2\), não há restrição efetiva para \(n=2\) além de que cada posição pode ser vermelha ou branca. Assim todas as \(2^2 = 4\) sequências são válidas.\end{ProblemaAutor}
+\end{document}
--- a/flowers/input/1
+++ b/flowers/input/1
@@ -0,0 +1 @@
+1 1
--- a/flowers/input/10
+++ b/flowers/input/10
@@ -0,0 +1 @@
+1497 202
--- a/flowers/input/100
+++ b/flowers/input/100
@@ -0,0 +1 @@
+7455 217
--- a/flowers/input/101
+++ b/flowers/input/101
@@ -0,0 +1 @@
+3590 343
--- a/flowers/input/102
+++ b/flowers/input/102
@@ -0,0 +1 @@
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--- a/flowers/input/103
+++ b/flowers/input/103
@@ -0,0 +1 @@
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--- a/flowers/input/104
+++ b/flowers/input/104
@@ -0,0 +1 @@
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--- a/flowers/input/105
+++ b/flowers/input/105
@@ -0,0 +1 @@
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--- a/flowers/input/106
+++ b/flowers/input/106
@@ -0,0 +1 @@
+10000 1
--- a/flowers/input/107
+++ b/flowers/input/107
@@ -0,0 +1 @@
+10000 1000
--- a/flowers/input/108
+++ b/flowers/input/108
@@ -0,0 +1 @@
+1 1000
--- a/flowers/input/109
+++ b/flowers/input/109
@@ -0,0 +1 @@
+1 1
--- a/flowers/input/11
+++ b/flowers/input/11
@@ -0,0 +1 @@
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--- a/flowers/input/12
+++ b/flowers/input/12
@@ -0,0 +1 @@
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--- a/flowers/input/13
+++ b/flowers/input/13
@@ -0,0 +1 @@
+417 156
--- a/flowers/input/14
+++ b/flowers/input/14
@@ -0,0 +1 @@
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--- a/flowers/input/15
+++ b/flowers/input/15
@@ -0,0 +1 @@
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--- a/flowers/input/16
+++ b/flowers/input/16
@@ -0,0 +1 @@
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--- a/flowers/input/17
+++ b/flowers/input/17
@@ -0,0 +1 @@
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--- a/flowers/input/18
+++ b/flowers/input/18
@@ -0,0 +1 @@
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--- a/flowers/input/19
+++ b/flowers/input/19
@@ -0,0 +1 @@
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--- a/flowers/input/2
+++ b/flowers/input/2
@@ -0,0 +1 @@
+2 2
--- a/flowers/input/20
+++ b/flowers/input/20
@@ -0,0 +1 @@
+1868 16
--- a/flowers/input/21
+++ b/flowers/input/21
@@ -0,0 +1 @@
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--- a/flowers/input/22
+++ b/flowers/input/22
@@ -0,0 +1 @@
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--- a/flowers/input/23
+++ b/flowers/input/23
@@ -0,0 +1 @@
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--- a/flowers/input/24
+++ b/flowers/input/24
@@ -0,0 +1 @@
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--- a/flowers/input/25
+++ b/flowers/input/25
@@ -0,0 +1 @@
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--- a/flowers/input/26
+++ b/flowers/input/26
@@ -0,0 +1 @@
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--- a/flowers/input/27
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@@ -0,0 +1 @@
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--- a/flowers/input/28
+++ b/flowers/input/28
@@ -0,0 +1 @@
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--- a/flowers/input/29
+++ b/flowers/input/29
@@ -0,0 +1 @@
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--- a/flowers/input/3
+++ b/flowers/input/3
@@ -0,0 +1 @@
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--- a/flowers/input/30
+++ b/flowers/input/30
@@ -0,0 +1 @@
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--- a/flowers/input/31
+++ b/flowers/input/31
@@ -0,0 +1 @@
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--- a/flowers/input/32
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@@ -0,0 +1 @@
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--- a/flowers/input/33
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@@ -0,0 +1 @@
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--- a/flowers/input/34
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@@ -0,0 +1 @@
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--- a/flowers/input/35
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@@ -0,0 +1 @@
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--- a/flowers/input/36
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@@ -0,0 +1 @@
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@@ -0,0 +1 @@
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@@ -0,0 +1 @@
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@@ -0,0 +1 @@
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@@ -0,0 +1 @@
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--- a/flowers/input/41
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@@ -0,0 +1 @@
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--- a/flowers/input/42
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@@ -0,0 +1 @@
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@@ -0,0 +1 @@
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+++ b/flowers/input/89
@@ -0,0 +1 @@
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--- a/Show More
+++ b/Show More