C - Common Subsequence

Description

A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence X = <x1, x2, ..., xm> another sequence Z = <z1, z2, ..., zk> is a subsequence of X if there exists a strictly increasing sequence <i1, i2, ..., ik> of indices of X such that for all j = 1,2,...,k, xij = zj. For example, Z = <a, b, f, c> is a subsequence of X = <a, b, c, f, b, c> with index sequence <1, 2, 4, 6>. Given two sequences X and Y the problem is to find the length of the maximum-length common subsequence of X and Y.
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. For each set of data the program prints on the standard output the length of the maximum-length common subsequence from the beginning of a separate line.
 

Input

On the first line of the input, there is a single positive integer n, telling the number of test scenarios to follow. Each test scenario begins with a line containing a single positive integer p<40000, the number of ports on the two functional blocks. Then follow p lines, describing the signal mapping: On the i:th line is the port number of the block on the right side which should be connected to the i:th port of the block on the left side.
 

Output

For each test scenario, output one line containing the maximum number of signals which may be routed on the silicon surface without crossing each other.
 

Sample Input

abcfbc abfcab programming contest abcd mnp
 

Sample Output

4 2 0
  求两个字符串的最大公共子序列

str1[I]、str2b[I]分别表示两个字符串
maxlen[I][j]表示第一个字符串前I个和第二个字符串前j个字符的最大公共子序列
当str[I-1]=str[j-1]时maxlen[I][j]=maxlen[I-1][j-1]+1
当不相等的时候maxlen[I][j]=max(maxlen[I-1][j],maxlen[I][j-1]}

代码如下
#include<stdio.h>
#include<string.h>
int Max(int a,int b)
{
	if(a>b) b=a;
	return b;
}
int maxlen[10001][10001];
int main()
{
	char str1[100001];
	char str2[100001];
	int i,j;
	while(scanf("%s %s",str1,str2)!=EOF)
	{
		int len1,len2;
		len1=strlen(str1);
		len2=strlen(str2);
		for(i=0;i<=len1;i++)
		{
			maxlen[i][0]=0;
		}
		for(j=0;j<=len2;j++)
		{
			maxlen[0][j]=0;
		}
    	for(i=1;i<=len1;i++)
    	{
	    	for(j=1;j<=len2;j++)
	    	{
	    		if(str1[i-1]==str2[j-1])
	    		{
	    			maxlen[i][j]=maxlen[i-1][j-1]+1;
	    			
	    		}
	    		else 
	    		{
	    			maxlen[i][j]=Max(maxlen[i-1][j],maxlen[i][j-1]);
	    		}
	    	}
    	}
    	printf("%d\n",maxlen[len1][len2]);
    }
}

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][o.e.t.a.APM ] [DESKTOP-A854GSO] Sending apm metrics is disabled [2025-05-12T16:43:58,954][INFO ][o.e.t.a.APM ] [DESKTOP-A854GSO] Sending apm tracing is disabled [2025-05-12T16:43:59,004][INFO ][o.e.x.s.Security ] [DESKTOP-A854GSO] Security is enabled [2025-05-12T16:43:59,379][INFO ][o.e.x.s.a.s.FileRolesStore] [DESKTOP-A854GSO] parsed [0] roles from file [D:\elasticsearch\elasticsearch-9.0.1\config\roles.yml] [2025-05-12T16:44:00,003][INFO ][o.e.x.w.Watcher ] [DESKTOP-A854GSO] Watcher initialized components at 2025-05-12T08:44:00.002Z [2025-05-12T16:44:00,143][INFO ][o.e.x.p.ProfilingPlugin ] [DESKTOP-A854GSO] Profiling is enabled [2025-05-12T16:44:00,162][INFO ][o.e.x.p.ProfilingPlugin ] [DESKTOP-A854GSO] profiling index templates will not be installed or reinstalled [2025-05-12T16:44:00,170][INFO ][o.e.x.a.APMPlugin ] [DESKTOP-A854GSO] APM ingest plugin is enabled [2025-05-12T16:44:00,207][INFO ][o.e.x.c.t.YamlTemplateRegistry] [DESKTOP-A854GSO] apm index template registry is enabled [2025-05-12T16:44:00,764][INFO ][o.e.t.n.NettyAllocator ] [DESKTOP-A854GSO] creating NettyAllocator with the following configs: [name=elasticsearch_configured, chunk_size=1mb, suggested_max_allocation_size=1mb, factors={es.unsafe.use_netty_default_chunk_and_page_size=false, g1gc_enabled=true, g1gc_region_size=4mb}] [2025-05-12T16:44:00,837][INFO ][o.e.d.DiscoveryModule ] [DESKTOP-A854GSO] using discovery type [multi-node] and seed hosts providers [settings] [2025-05-12T16:44:02,474][INFO ][o.e.n.Node ] [DESKTOP-A854GSO] initialized [2025-05-12T16:44:02,475][INFO ][o.e.n.Node ] [DESKTOP-A854GSO] starting ... [2025-05-12T16:44:02,520][INFO ][o.e.x.s.c.f.PersistentCache] [DESKTOP-A854GSO] persistent cache index loaded [2025-05-12T16:44:02,521][INFO ][o.e.x.d.l.DeprecationIndexingComponent] [DESKTOP-A854GSO] deprecation component started [2025-05-12T16:44:02,642][INFO ][o.e.t.TransportService ] [DESKTOP-A854GSO] publish_address {127.0.0.1:9300}, bound_addresses {[::1]:9300}, {127.0.0.1:9300} [2025-05-12T16:44:03,031][WARN ][o.e.c.c.ClusterBootstrapService] [DESKTOP-A854GSO] this node is locked into cluster UUID [_h3NONUQTr-ueBQPxrmidA] but [cluster.initial_master_nodes] is set to [DESKTOP-A854GSO]; remove this setting to avoid possible data loss caused by subsequent cluster bootstrap attempts; for further information see https://www.elastic.co/docs/deploy-manage/deploy/self-managed/important-settings-configuration?version=9.0#initial_master_nodes [2025-05-12T16:44:03,176][INFO ][o.e.c.s.MasterService ] [DESKTOP-A854GSO] elected-as-master ([1] nodes joined in term 4)[_FINISH_ELECTION_, {DESKTOP-A854GSO}{oThuyDfhTraitepa21vwPA}{ELpoXthvShu35FsJ-XSBeA}{DESKTOP-A854GSO}{127.0.0.1}{127.0.0.1:9300}{cdfhilmrstw}{9.0.1}{8000099-9009000} completing election], term: 4, version: 98, delta: master node changed {previous [], current [{DESKTOP-A854GSO}{oThuyDfhTraitepa21vwPA}{ELpoXthvShu35FsJ-XSBeA}{DESKTOP-A854GSO}{127.0.0.1}{127.0.0.1:9300}{cdfhilmrstw}{9.0.1}{8000099-9009000}]} [2025-05-12T16:44:03,257][INFO ][o.e.c.s.ClusterApplierService] [DESKTOP-A854GSO] master node changed {previous [], current [{DESKTOP-A854GSO}{oThuyDfhTraitepa21vwPA}{ELpoXthvShu35FsJ-XSBeA}{DESKTOP-A854GSO}{127.0.0.1}{127.0.0.1:9300}{cdfhilmrstw}{9.0.1}{8000099-9009000}]}, term: 4, version: 98, reason: Publication{term=4, version=98} [2025-05-12T16:44:03,312][INFO ][o.e.c.c.NodeJoinExecutor ] [DESKTOP-A854GSO] node-join: [{DESKTOP-A854GSO}{oThuyDfhTraitepa21vwPA}{ELpoXthvShu35FsJ-XSBeA}{DESKTOP-A854GSO}{127.0.0.1}{127.0.0.1:9300}{cdfhilmrstw}{9.0.1}{8000099-9009000}] with reason [completing election] [2025-05-12T16:44:03,317][INFO ][o.e.h.AbstractHttpServerTransport] [DESKTOP-A854GSO] publish_address {192.168.10.4:9200}, bound_addresses {[::]:9200} [2025-05-12T16:44:03,328][INFO ][o.e.x.w.LicensedWriteLoadForecaster] [DESKTOP-A854GSO] license state changed, now [valid] [2025-05-12T16:44:03,341][INFO ][o.e.n.Node ] [DESKTOP-A854GSO] started {DESKTOP-A854GSO}{oThuyDfhTraitepa21vwPA}{ELpoXthvShu35FsJ-XSBeA}{DESKTOP-A854GSO}{127.0.0.1}{127.0.0.1:9300}{cdfhilmrstw}{9.0.1}{8000099-9009000}{ml.allocated_processors_double=16.0, ml.max_jvm_size=8157921280, ml.config_version=12.0.0, xpack.installed=true, transform.config_version=10.0.0, ml.machine_memory=16312721408, ml.allocated_processors=16} [2025-05-12T16:44:03,387][WARN ][o.e.x.i.s.e.a.ElasticInferenceServiceAuthorizationHandler] [DESKTOP-A854GSO] Failed to revoke access to default inference endpoint IDs: [rainbow-sprinkles], error: org.elasticsearch.cluster.block.ClusterBlockException: blocked by: [SERVICE_UNAVAILABLE/1/state not recovered / initialized]; [2025-05-12T16:44:03,738][INFO ][o.e.x.m.MlIndexRollover ] [DESKTOP-A854GSO] ML legacy indices rolled over [2025-05-12T16:44:03,739][INFO ][o.e.x.m.MlAnomaliesIndexUpdate] [DESKTOP-A854GSO] legacy ml anomalies indices rolled over and aliases updated [2025-05-12T16:44:03,751][INFO ][o.e.x.s.a.Realms ] [DESKTOP-A854GSO] license mode is [basic], currently licensed security realms are [reserved/reserved,file/default_file,native/default_native] [2025-05-12T16:44:03,754][INFO ][o.e.l.ClusterStateLicenseService] [DESKTOP-A854GSO] license [c457fd5c-94b5-44ae-ba97-7a8de1c2a152] mode [basic] - valid [2025-05-12T16:44:03,756][INFO ][o.e.c.f.AbstractFileWatchingService] [DESKTOP-A854GSO] starting file watcher ... [2025-05-12T16:44:03,761][INFO ][o.e.c.f.AbstractFileWatchingService] [DESKTOP-A854GSO] file settings service up and running [tid=109] [2025-05-12T16:44:03,762][INFO ][o.e.r.s.FileSettingsService] [DESKTOP-A854GSO] setting file [D:\elasticsearch\elasticsearch-9.0.1\config\operator\settings.json] not found, initializing [file_settings] as empty [2025-05-12T16:44:03,775][INFO ][o.e.g.GatewayService ] [DESKTOP-A854GSO] recovered [3] indices into cluster_state [2025-05-12T16:44:03,878][INFO ][o.e.x.w.LicensedWriteLoadForecaster] [DESKTOP-A854GSO] license state changed, now [not valid] [2025-05-12T16:44:04,273][INFO ][o.e.h.n.s.HealthNodeTaskExecutor] [DESKTOP-A854GSO] Node [{DESKTOP-A854GSO}{oThuyDfhTraitepa21vwPA}] is selected as the current health node. [2025-05-12T16:44:04,277][INFO ][o.e.c.r.a.AllocationService] [DESKTOP-A854GSO] current.health="GREEN" message="Cluster health status changed from [RED] to [GREEN] (reason: [shards started [[.ds-.logs-elasticsearch.deprecation-default-2025.05.12-000001][0], [.ds-ilm-history-7-2025.05.12-000001][0], [.security-7][0]]])." previous.health="RED" reason="shards started [[.ds-.logs-elasticsearch.deprecation-default-2025.05.12-000001][0], [.ds-ilm-history-7-2025.05.12-000001][0], [.security-7][0]]" 中文回答
05-13
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