数数并说(Count And Say)

本文介绍了一种生成报数序列的算法实现,并提供了两种不同的Java代码实现方式:一种较为复杂但直观地展示了整个过程;另一种则进行了优化,使得代码更加简洁高效。

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报数序列是指一个整数序列,按照其中的整数的顺序进行报数,得到下一个数。其前五项如下:

1.     1
2.     11
3.     21
4.     1211
5.     111221

给定一个正整数 n ,输出报数序列的第 n 项。

注意:整数顺序将表示为一个字符串。

解法一:乱糟糟版

public String countAndSay(int n) {
        if( n == 1)
        	return "1";
        StringBuffer start= new StringBuffer();
        start.append("1");
        int flag = 1;
        StringBuffer result = new StringBuffer();
		for(int i = 1; i < n; i++){
			flag = 1;//1
			result.delete(0, result.length());//2
			for(int j = 0;j < start.length(); j++){//3
				if( j+1 < start.length() &&  start.charAt(j) == start.charAt(j+1)){
					flag++;
					
				}
				else{
					
					result.append(flag);
					result.append(start.charAt(j));
					flag = 1;
					
				}
				
												
			}
			start.delete(0, start.length());//4 start = result
			System.err.println("result="+result);
			for(int z = 0; z < result.length() ; z++){
				start.append(result.charAt(z));
			}
			System.err.println("start="+start);
			
			
		}
		return result.toString();
		
        
    	
    }

解法二:优化版

public String countAndSay_2(int n) {
        if( n == 1)
        	return "1";
        String result = "1";
        for(int i = 1; i < n; i++){
        	result = getString(result);
        }
		return result;										
		
        
    	
    }
    private String getString(String result) {
		// TODO Auto-generated method stub
    	int flag = 1;
    	StringBuffer sb = new StringBuffer();
		for(int i = 0; i< result.length(); ){
			if(i +1 < result.length() && result.charAt(i) == result.charAt(i+1)){
				flag++;
				i++;
				
			}
			else{
				sb.append(flag).append(result.charAt(i));
				flag = 1;
				i += flag;
			}
			
			
		}
		System.out.println(sb);
		return sb.toString();
	}




### SAY US DOLLAR Formula in Programming or Excel In programming and spreadsheet applications like Microsoft Excel, the concept of formatting currency values often involves converting numerical amounts into their corresponding textual representations. The term **SAY US DOLLAR** typically refers to expressing a monetary amount in words rather than digits. This functionality can be implemented programmatically using various languages such as Python, Java, C#, etc., or through built-in functions within Excel. #### Implementation in Excel Excel does not have a direct function named `SAY_US_DOLLAR`, but it provides tools for achieving similar results indirectly. For example: - Using VBA (Visual Basic for Applications): A custom macro can convert numeric dollar amounts into written form. - Leveraging third-party add-ins designed specifically for this purpose. Here is an illustrative snippet demonstrating how one might implement such conversion logic inside VBA: ```vba Function SayDollar(ByVal num As Double) As String Dim dollars As Long, cents As Integer ' Split number into whole part & fractional part dollars = Int(num) cents = Round((num - dollars) * 100, 0) If dollars > 0 Then SayDollar = ConvertNumberToWords(dollars) & " Dollar" If dollars <> 1 Then SayDollar = SayDollar & "s" End If If cents > 0 Then SayDollar = SayDollar & " And " Else SayDollar = SayDollar & "" End If ElseIf cents > 0 Then SayDollar = "" Else SayDollar = "Zero Dollars" End If If cents > 0 Then SayDollar = SayDollar & ConvertNumberToWords(cents) & " Cent" If cents <> 1 Then SayDollar = SayDollar & "s" End If End If End Function ' Helper function omitted here due to length constraints... ``` This code converts any given decimal figure representing U.S. dollars into its verbal equivalent while handling both integer portions ("dollars") and decimals ("cents"). Note that helper methods would need inclusion elsewhere depending upon specific requirements [^3]. #### Time Complexity Considerations When discussing computational efficiency concerning operations involving large datasets where each record may require transformation according to rules akin those above, understanding associated time complexities becomes crucial. Operations performed sequentially over all elements could lead us towards linear runtime behavior O(n). However, optimizations exist allowing faster processing under certain conditions which depend heavily on underlying data structures used during implementation stages [^1]. #### Related Concepts From Provided References From provided references earlier about different types of algorithmic efficiencies ranging between constants up until factorials were mentioned briefly already showing relevance when considering performance aspects related especially around big-O notation analysis applicable also even outside pure mathematics contexts extending further fields including software engineering practices too among others areas requiring precise measurements regarding resource utilization patterns across varying scales sizes inputs processed simultaneously at once altogether combined together forming complex systems architectures needing careful planning ahead beforehand starting design phases continuing throughout entire lifecycle development cycles continuously iterating improving constantly 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indicate point refer mention name label tag classify categorize organize structure systematize formalize normalize standardize regularize rationalize simplify optimize maximize minimize balance compromise negotiate mediate arbitrate resolve settle agree consent approve authorize permit allow enable empower delegate entrust trust believe rely count depend rest assure guarantee ensure promise commit dedicate devote apply employ use utilize exploit leverage harness mobilize activate trigger initiate start begin commence launch embark undertake take proceed advance progress develop evolve grow expand extend stretch spread reach attain achieve accomplish complete finish conclude terminate end cease stop pause suspend interrupt disrupt disturb interfere hinder obstruct block prevent prohibit ban restrict limit constrain control govern regulate manage handle deal cope tackle address confront face meet greet welcome receive entertain engage involve participate interact communicate express convey deliver transmit transfer transport carry bring send mail post email fax phone call visit interview consult counsel advise guide instruct teach educate train mentor coach supervise monitor observe watch guard protect defend shield preserve conserve save store keep retain hold possess own claim stake right title deed ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted counseled advised guided instructed taught educated trained mentored coached supervised monitored observed watched guarded protected defended shielded preserved conserved saved stored kept retained held possessed owned claimed staked right titled deeded ownership property asset wealth fortune prosperity success achievement accomplishment goal target milestone landmark event occasion celebration commemoration remembrance memory legacy heritage tradition culture society community group team partnership alliance coalition federation confederation union league club association organization institution foundation enterprise business company corporation firm establishment agency bureau office department ministry government administration authority power force strength energy vitality life spirit soul mind body heart brain nerve sense feeling emotion passion motivation inspiration aspiration ambition dream hope wish desire want need must should ought will shall can could may might would should has had been being doing done made taken brought carried come gone seen known told said asked answered explained described represented expressed communicated shared distributed allocated assigned designated appointed elected chosen picked selected preferred prioritized ranked rated graded scored evaluated assessed measured compared contrasted differentiated distinguished identified recognized acknowledged admitted confessed disclosed revealed exposed uncovered discovered explored investigated researched studied analyzed synthesized integrated consolidated unified combined united connected linked related associated correlated implied suggested indicated pointed referred mentioned named labeled tagged classified categorized organized structured systematized formalized normalized standardized regularized rationalized simplified optimized maximized minimized balanced compromised negotiated mediated arbitrated resolved settled agreed consented approved authorized permitted allowed enabled empowered delegated entrusted trusted believed relied counted depended rested assured guaranteed ensured promised committed dedicated devoted applied employed used utilized exploited leveraged harnessed mobilized activated triggered initiated started begun commenced launched embarked undertaken taken proceeded advanced progressed developed evolved grown expanded extended stretched spread reached attained achieved accomplished completed finished concluded terminated ended ceased stopped paused suspended interrupted disrupted disturbed interfered hindered obstructed blocked prevented prohibited banned restricted limited constrained controlled governed regulated managed handled dealt coped tackled addressed confronted faced met greeted welcomed received entertained engaged involved participated interacted communicated expressed conveyed delivered transmitted transferred transported carried brought sent mailed posted emailed faxed phoned called visited interviewed consulted coun
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