[38] Count and Say

本文介绍了一种特殊的整数序列——计数并描述序列的生成方法。通过具体实例展示了如何从初始值1开始,逐步生成序列,并给出了两种Java实现方案。Code1针对单一输入值进行转换,而Code2则实现了递归生成第n个序列。

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1. 题目描述

The count-and-say sequence is the sequence of integers beginning as follows:
1, 11, 21, 1211, 111221, …

1 is read off as “one 1” or 11.
11 is read off as “two 1s” or 21.
21 is read off as “one 2, then one 1” or 1211.
Given an integer n, generate the nth sequence.

Count and Say的串从1开始,首先将1读为11,之后将11读为21,将21读为1211,将1211读为111221,依次类推,求出第n个串,n=1时,为1。

2. 解题思路

一开始读错题了,以为是随意给一个数,之后将这个数读出来。后来发现不是这样的O.O…题目的意思是,从1开始重复读,先读1,然后读1产生的结果,然后继续往后读下去,返回第n个结果。那么一开始写的Code1也不是没有用,可以在Code1的基础上改进一下。Code1相当于,读1轮产生的数,那么Code2只需要将上一次读的内容作为下一次的输入即可。Code1大体的思路为对于一个数111221,使用一个当前值保存上一个的值,如果不相等,就输出上一个的值和上一个值得个数,且改变当前的值,如果相等就为当前值的计数加1。需要注意的是读到最后一串的时候跟后面的比较会越界,所以最后一串需要单独输出。Code2的思路为将Code1作为中间的一部分,使用一个循环套起来,每一次的结果作为上一次的输入。

3. Code

// Code1:以为参数int是给定的一个随意的数,把这个数的编码计算出来即可。。
import java.lang.StringBuffer;

public class Solution {
    public String countAndSay(int n) {
        // 将int转换为String
        String giveNum = String.valueOf(n);
        // 获取字符串长度
        int length = giveNum.length();
        int number = 1;  // 保存一轮的个数
        StringBuffer sb = new StringBuffer();
        for(int i = 0, j = i + 1; j < length; ++j)
        {
            if(giveNum.charAt(i) != giveNum.charAt(j))
            {
                // 遇到第一个不重复的字符
                sb.append(number).append(giveNum.charAt(i));
                i = j;
                number = 1;
            }else{
                number++;
            }
        }
        // 最后一串字符,j越界
        sb.append(number).append(giveNum.charAt(length-1));
        return sb.toString();
    }
}
// Code2:
import java.lang.StringBuffer;

public class Solution {
    public String countAndSay(int n) {
        if(n <= 0) return "";
        String s = "1";
        // 做n轮
        for(int i = 1; i < n; ++i)
        {
            StringBuffer sb = new StringBuffer();
            // 获取字符串长度
            int length = s.length();
            int number = 0;  // 保存一轮的个数
            char cur = s.charAt(0);
            for(int j = 0; j < s.length(); ++j){
                if(cur != s.charAt(j))
                {
                    // 遇到第一个不重复的字符
                    sb.append(number).append(cur);
                    cur = s.charAt(j);
                    number = 1;
                }else{
                    number++;
                }
            }
            // 最后一串字符,j越界
            sb.append(number).append(s.charAt(length-1));
            s = sb.toString();
        }
        return s;
    }
}
### 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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interpretation explanation description representation expression communication interaction collaboration cooperation coordination organization management leadership governance policy regulation law order justice fairness equality diversity inclusion equity accessibility sustainability innovation creativity imagination curiosity exploration discovery learning education training experience skill talent ability potential opportunity challenge problem solution answer result conclusion recommendation suggestion proposal plan action step move change improvement enhancement upgrade evolution revolution transformation transition shift switch swap exchange replace substitute alternative option choice decision making process thinking reasoning judgment evaluation assessment measurement metric indicator benchmark standard norm average mean median mode range variance deviation error uncertainty risk probability likelihood chance possibility outcome consequence impact effect influence cause relationship connection association correlation causation mechanism principle rule guideline instruction manual tutorial lesson course module unit chapter section paragraph sentence word letter character symbol sign mark punctuation space tab newline carriage return enter escape backspace delete insert overwrite append prepend concatenate join merge split separate isolate extract transform filter map reduce aggregate summarize generalize specialize particularize individualize personalize customize tailor fit match adapt adjust modify alter vary diversify multiply divide share distribute allocate assign designate appoint elect choose pick select prefer prioritize rank rate grade score evaluate assess measure compare contrast differentiate distinguish identify recognize acknowledge admit confess disclose reveal expose uncover discover explore investigate research study analyze synthesize integrate consolidate unify combine unite connect link relate associate correlate imply suggest 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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