LCS LIS LCIS学习、

练习题:blackcat

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LIS学习:传送门

LCIS学习:传送门

关于输出LCS的所有答案:传送门

LCS输出路径

#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 

using namespace std;
#define LL long long
#define pb push_back
#define mk make_pair
#define pill pair
#define mst(a, b)	memset(a, b, sizeof a)
#define REP(i, x, n)	for(int i = x; i <= n; ++i)
const int MOD = 1e9 + 7;
const int qq = 100 + 10;
const int INF = 1e9 + 10;
string a[qq], b[qq];
int dp[qq][qq], path[qq][qq];
int cnt;
void Print(int x, int y) {
	if(x < 1 || y < 1)	return;
	if(path[x][y] == 0) {
		Print(x - 1, y - 1);
	} else if(path[x][y] == 1) {
		Print(x - 1, y);
	} else {
		Print(x, y - 1);
	}
	if(a[x] == b[y]) {
		if(cnt == 0)	cnt++;
		else	cout << " ";
		cout << a[x];
	}
}

int main(){
	string st;
	int cnt1, cnt2;
	while(cin >> st) {
		cnt = cnt1 = cnt2 = 0;
		while(st[0] != '#') {
			a[++cnt1] = st;
			cin >> st;
		}
		cin >> st;
		while(st[0] != '#') {
			b[++cnt2] = st;
			cin >> st;
		}
		for(int i = 1; i <= cnt1; ++i) {
			for(int j = 1; j <= cnt2; ++j) {
				if(a[i] == b[j]) {
					dp[i][j] = dp[i - 1][j - 1] + 1;
					path[i][j] = 0;
				} else if(dp[i - 1][j] > dp[i][j - 1]) {
					dp[i][j] = dp[i - 1][j];
					path[i][j] = 1;
				} else {
					dp[i][j] = dp[i][j - 1];
					path[i][j] = -1;
				}
			}
		}
		Print(cnt1, cnt2);
		if(dp[cnt1][cnt2] != 0)	cout << endl;
	}
	return 0;
}


LCIS 输出路径

#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 

using namespace std;
#define LL long long
#define pb push_back
#define mk make_pair
#define pill pair
#define mst(a, b)	memset(a, b, sizeof a)
#define REP(i, x, n)	for(int i = x; i <= n; ++i)
const int MOD = 1e9 + 7;
const int qq = 500 + 10;
const int INF = 1e9 + 10;
int dp[qq][qq], a[qq], b[qq];
int px[qq][qq], py[qq][qq];
void Print(int x, int y, bool &f) {
	if(x == -1 && y == -1) return;
	Print(px[x][y], py[x][y], f);
	if(a[x] == b[y]) {
		if(f) f = false;
		else	printf(" ");
		printf("%d", a[x]);
	}
}

int main(){
	int n1, n2;
	scanf("%d", &n1);
	for(int i = 1; i <= n1; ++i) {
		scanf("%d", a + i);
	}
	scanf("%d", &n2);
	for(int i = 1; i <= n2; ++i) {
		scanf("%d", b + i);
	}
	mst(dp, 0);
	mst(px, 0), mst(py, 0);
	int ans = 0, ax, ay;
	for(int i = 1; i <= n1; ++i) {
		int maxn = 0;
		int x1 = -1, y1 = -1, id;
		for(int j = 1; j <= n2; ++j) {
			dp[i][j] = dp[i - 1][j];
			px[i][j] = i - 1;
			py[i][j] = j;
			if(b[j] < a[i] && dp[i - 1][j] > maxn) {
				maxn = dp[i - 1][j], x1 = i - 1, y1 = j;
			}
			if(a[i] == b[j]) {
				dp[i][j] = maxn + 1, px[i][j] = x1, py[i][j] = y1;
			}
			if(dp[i][j] > ans) {
				ans = dp[i][j], ax = i, ay = j;
			}
		}
	}
	if(ans) {
		bool r = true;
		printf("%d\n", ans), Print(ax, ay, r);
		puts("");
	} else {
		printf("0\n");
	}
	return 0;
}


LCIS 一维写法

#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 

using namespace std;
#define LL long long
#define pb push_back
#define mk make_pair
#define pill pair
#define mst(a, b)	memset(a, b, sizeof a)
#define REP(i, x, n)	for(int i = x; i <= n; ++i)
const int MOD = 1e9 + 7;
const int qq = 1e3 + 10;
const int INF = 1e9 + 10;
int a[qq], b[qq], f[qq];
int n, m;

int main(){
	int t;	scanf("%d", &t);
	while(t--) {
		scanf("%d", &n);
		for(int i = 1; i <= n; ++i) {
			scanf("%d", a + i);
		}
		scanf("%d", &m);
		for(int i = 1; i <= m; ++i) {
			scanf("%d", b + i);
		}
		mst(f, 0);
		for(int i = 1; i <= n; ++i) {
			int maxn = 0;
			for(int j = 1; j <= m; ++j) {
				if(a[i] > b[j] && maxn < f[j]) {
					maxn = f[j];
				}
				if(a[i] == b[j]) {
					f[j] = maxn + 1;
				}
			}
		}
		int ans = 0;
		for(int i = 1; i <= m; ++i) {
			ans = max(ans, f[i]);
		}
		printf("%d\n", ans);
	}
	return 0;
}


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