前言
整体评价
思维场吧,T3印象深刻,其实我不会做,我就是猜的,到现在都不知道怎么过的,惭愧。
T4是换根模板题,也就这样了。
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A. 小红购物
思路: 模拟
import java.io.BufferedInputStream;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(new BufferedInputStream(System.in));
int n = sc.nextInt();
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = sc.nextInt();
}
char[] str = sc.next().toCharArray();
long res = 0;
for (int i = 0; i< n; i++) {
if (str[i] == 'T') {
res += arr[i];
} else {
res += Math.max(5, arr[i] / 100);
}
}
System.out.println(res);
}
}
n = int(input())
arr = list(map(int, input().split()))
s = input()
res = 0
for i in range(n):
if s[i] == 'T':
res += arr[i]
else:
res += max(5, arr[i] // 100)
print (res)
B. 小红吃桃
思路: 贪心
算思维题吧,就是大的和大的组合,小的和小的组合,这样整体一定是最大,乘积效应吧
import java.io.BufferedInputStream;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(new BufferedInputStream(System.in));
int n = sc.nextInt();
long mod = (long)1e9 + 7;
long[] a = new long[n];
for (int i = 0; i < n ;i++) {
a[i] = sc.nextInt();
}
long[] b = new long[n];
for (int i = 0; i < n ;i++) {
b[i] = sc.nextInt();
}
long r1 = 1, r2 = 1;
for (int i = 0; i < n; i++) {
if (a[i] >= b[i]) {
r1 = r1 * a[i] % mod;
r2 = r2 * b[i] % mod;
} else {
r1 = r1 * b[i] % mod;
r2 = r2 * a[i] % mod;
}
}
System.out.println((r1 + r2) % mod);
}
}
n = int(input())
arr = list(map(int, input().split()))
brr = list(map(int, input().split()))
mod = 10 ** 9 + 7
c, d = 1, 1
for i in range(n):
if arr[i] >= brr[i]:
c = c * arr[i] % mod
d = d * brr[i] % mod
else:
c = c * brr[i] % mod
d = d * arr[i] % mod
print ((c + d) % mod)
C. 小红的踏前斩
思路: 贪心
其实我更愿意是DP,但是值域真的太大的。
所以从哪里切入呢?
一开始从开头无脑贪,WA
然后想是不是从峰值点,处理,感觉收敛太慢了。
后来,想了想,要不逆向思维,从后往前贪心,哈哈,蒙对了。
import java.io.BufferedInputStream;
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(new BufferedInputStream(System.in));
int n = sc.nextInt();
long[] arr = new long[n];
for (int i = 0; i < n; i++) {
arr[i] = sc.nextLong();
}
// 逆向贪心
long res = 0;
for (int i = n - 1; i >= 0; i--) {
if (i >= 2) {
long d1 = arr[i] / 3, d2 = arr[i - 1] / 2, d3 = arr[i - 2];
long md = Math.min(d1, Math.min(d2, d3));
res += md * 5l;
arr[i] -= 3 * md;
arr[i - 1] -= md * 2l;
arr[i - 2] -= md;
}
res += arr[i];
}
System.out.println(res);
}
}
n = int(input())
arr = list(map(int, input().split()))
res = 0
for i in range(n - 1, -1, -1):
if i - 2 >= 0:
m = min(arr[i] // 3, arr[i - 1] // 2, arr[i - 2])
res += 5 * m
arr[i] -= 3 * m
arr[i - 1] -= 2 * m
arr[i - 2] -= m
res += arr[i]
print (res)
D. 小红树
思路:换根DP
从换根的角度出发,然后在每条边上,处理边两侧的连通数差值
import java.io.BufferedInputStream;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Scanner;
public class Main {
// 换根板子
static class Solution {
int n;
List<Integer> []g;
char[] colors;
long[] dp1;
long gAns = 0;
long solve(int n, List<Integer> []g, char[] colors) {
this.g = g;
this.n = n;
this.colors = colors;
dp1 = new long[n];
dfs1(0, -1);
dfs2(0, -1, 0);
return gAns;
}
void dfs1(int u, int fa) {
int res = 1;
for (int v: g[u]) {
if (v == fa) continue;
dfs1(v, u);
if (colors[u] == colors[v]) {
res += dp1[v] - 1;
} else {
res += dp1[v];
}
}
dp1[u] = res;
}
void dfs2(int u, int fa, long w) {
long tmp = dp1[u];
if (fa != -1) {
if (colors[u] == colors[fa]) {
tmp += w - 1;
} else {
tmp += w;
}
}
for (int v: g[u]) {
if (v == fa) continue;
long ctmp = tmp;
if (colors[u] == colors[v]) {
ctmp -= (dp1[v] - 1);
} else {
ctmp -= dp1[v];
}
gAns += Math.abs(ctmp - dp1[v]);
dfs2(v, u, ctmp);
}
}
}
public static void main(String[] args) {
Scanner sc = new Scanner(new BufferedInputStream(System.in));
int n = sc.nextInt();
char[] str = sc.next().toCharArray();
List<Integer>[]g = new List[n];
Arrays.setAll(g, x->new ArrayList<>());
for (int i = 0; i < n - 1; i++) {
int u = sc.nextInt() - 1, v = sc.nextInt() - 1;
g[u].add(v);
g[v].add(u);
}
Solution solution = new Solution();
long res = solution.solve(n, g, str);
System.out.println(res);
}
}
from types import GeneratorType
# 递归栈优化
def bootstrap(f, stack=[]):
def wrappedfunc(*args, **kwargs):
if stack:
return f(*args, **kwargs)
else:
to = f(*args, **kwargs)
while True:
if type(to) is GeneratorType:
stack.append(to)
to = next(to)
else:
stack.pop()
if not stack:
break
to = stack[-1].send(to)
return to
return wrappedfunc
n = int(input())
s = " " + input()
g = [[] for _ in range(n + 1)]
for i in range(n - 1):
u, v = list(map(int, input().split()))
g[u].append(v)
g[v].append(u)
dp = [0] * (n + 1)
depth = [0] * (n + 1)
@bootstrap
def dfs(u: int, fa: int, d: int):
depth[u] = d
res = 1
for v in g[u]:
if v == fa:
continue
yield dfs(v, u, d + 1)
if s[u] == s[v]:
res += dp[v] - 1
else:
res += dp[v]
dp[u] = res
yield
dfs(1, -1, 1)
ans = 0
for i in range(1, n + 1):
for v in g[i]:
if depth[v] > depth[i]:
if s[i] == s[v]:
ans += abs(dp[1] - dp[v] + 1 - dp[v])
else:
ans += abs(dp[1] - dp[v] - dp[v])
print (ans)