题目链接:
http://codeforces.com/contest/664/problem/B
题意:
给你一个等式,把等式左边的问号用1到n(n为等式右边的数)的数填好,使得等式成立
题解:
贪心求出最小最大值,如果n在这个范围则有解,否则无解。
构造解: 取最小值或最大值,然后从第一个数开始调整,直到等式成立为止。
代码:
#include<iostream>
#include<cstring>
#include<vector>
using namespace std; const int maxn = ;
const int INF = 1e9 + ; char str[maxn], sig[maxn];
int val[maxn],p1,p2;
int n; void init() {
p1 = , p2 = ;
sig[p1++] = '+';
} int main() {
init();
while (scanf("%s", str) == && str[] != '=') {
if (str[] == '?') { }else{
sig[p1++] = str[];
}
}
sig[p1] = '\0';
scanf("%d", &n);
int mi=, ma=;
vector<int> ans;
for (int i = ; i < p1; i++) {
if (sig[i] == '+') mi += ,ma+=n,ans.push_back();
else mi -= n,ma-=,ans.push_back(n);
}
if (n >= mi&&n <= ma) {
int dis = n-mi;
for (int i = ; i < p1; i++) {
if (sig[i] == '+') {
if (dis >= n - ) {
ans[i] = n;
dis -= (n - );
}
else {
ans[i] += dis;
dis = ;
}
}
else {
if (dis >= n - ) {
ans[i] = ;
dis -= (n - );
}
else {
ans[i] -= dis;
dis = ;
}
}
if (dis == ) break;
}
printf("Possible\n");
for (int i = ; i < p1-; i++) {
printf("%d %c ", ans[i], sig[i + ]);
}
printf("%d = %d\n", ans[p1 - ], n);
}
else {
printf("Impossible\n");
}
return ;
}