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cf1064E. Dwarves, Hats and Extrasensory Abilities(二分 交互)

iostream force ats unsigned har max 根據 abi ase

題意

題目鏈接

\(n\)次操作,每次你給出一個點的坐標,系統會返回該點的顏色(黑 / 白),程序最後輸出一條直線把所有黑點和白點分隔開

Sol

一個很直觀的想法:首先詢問\((dx, 0)\),然後每次詢問二分中點,根據與第一次詢問得到的字符串的關系不斷調整二分範圍

但是這樣會被卡,我修改了兩個地方才過。

  1. 二分調整邊界的時候直接設\(l = mid\)\(r = mid\),因為我們最後得到的不是一個精確解,所以這樣寫是可以的

  2. 最後輸出直線的時候加一個偏移量,也就是輸出一條斜線

具體看代碼

/*
*/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<map>
#include<vector>
#include<set>
#include<queue>
#include<cmath>
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/hash_policy.hpp>
#define Pair pair<int, int>
#define MP(x, y) make_pair(x, y)
#define fi first
#define se second
#define LL long long 
#define ull unsigned long long 
#define rg register 
#define pt(x) printf("%d ", x);
#define Fin(x) {freopen(#x".in","r",stdin);}
#define Fout(x) {freopen(#x".out","w",stdout);}
//#define getchar() (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 1<<22, stdin), p1 == p2) ? EOF : *p1++)
//char buf[(1 << 22)], *p1 = buf, *p2 = buf;
//char obuf[1<<24], *O = obuf;
//void print(int x) {if(x > 9) print(x / 10); *O++ = x % 10 + '0';}
//#define OS  *O++ = ' ';
//#define fout fwrite(obuf, O-obuf, 1 , stdout);
using namespace std;
//using namespace __gnu_pbds;
const int MAXN = 2005, INF = 1e9 + 10, mod = 1e9 + 7;
const int D[] = { -1, 1};
const double eps = 1e-9;
inline int read() {
    char c = getchar(); int x = 0, f = 1;
    while(c < '0' || c > '9') {if(c == '-') f = -1; c = getchar();}
    while(c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar();
    return x * f;
}

int N, Dx = 23333;
string s, pre;

main() {
    N = read();
    int l = 0, r = 1e9;
    printf("%d 0\n", Dx);
    fflush(stdout);
    cin >> pre;
    int ans = 0;
    for(int i = 2; i <= N; i++) {
        int mid = l + r >> 1;
        printf("%d %d\n", Dx, mid);
        fflush(stdout);
        cin >> s;
        if(s != pre) r = mid;
        else l = mid, ans = mid;
    }
    
    printf("%d %d %d %d", Dx - 3, ans, Dx + 3, ans + 1);
    return 0;
}
/*
5
black
black
white
white
black
*/

cf1064E. Dwarves, Hats and Extrasensory Abilities(二分 交互)