Island of Logic |
The Island of Logic has three kinds of inhabitants: divine beings that always tell the truth, evil beings that always lie, and human beings that are truthful during the day and lie at night. Every inhabitant recognizes the type of every other inhabitant.
A social scientist wants to visit the island. Because he is not able to distinguish the three kinds of beings only from their looks, he asks you to provide a communication analyzer that deduces facts from conversations among inhabitants. The interesting facts are whether it is day or night and what kind of beings the speakers are.
I am [not] ( divine | human | evil | lying ).
is [not] ( divine | human | evil | lying ).
It is ( day | night ).
Square brackets [] mean that the word in the brackets may or may not appear, round brackets () mean that exactly one of the alternatives separated by |
must appear. X stands for some name from A, B, C, D, E. There will be no two consecutive spaces in any statement line, and at most 50 statements in a conversation.
The input is terminated by a test case starting with n = 0.
is ( divine | human | evil ).
It is ( day | night ).
X is to be replaced by a capital letter speaker name. Facts about inhabitants must be given first (in alphabetical order), then it may be stated whether it is day or night.
The output for each conversation must be followed by a single blank line.
1 A: I am divine. 1 A: I am lying. 1 A: I am evil. 3 A: B is human. B: A is evil. A: B is evil. 0
Conversation #1 No facts are deducible. Conversation #2 This is impossible. Conversation #3 A is human. It is night. Conversation #4 A is evil. B is divine.
解题思路:将所有语句存成结构体的形式,只需要记录说话人,被说人,说话肯否定(not),和对象。处理方法就是将所有情况列举出来,然后将语句进行判断。如果出现两组满足,就将两组中相同的保留(这些是可以确定的)
注意:即使没有人类被确定,但是白天黑夜已经被分出来了,也要输出。
提供一些数据:
6
A: B is human.
A: B is evil.
B: A is human.
C: A is not lying.
B: C is not human.
D: E is not lying.
4
A: I am human.
A: It is night.
B: I am human.
B: It is day.
3
A: I am human.
B: I am human.
A: B is lying.
3
A: I am divine.
B: A is not lying.
A: B is lying.
3
A: I am divine.
B: A is lying.
A: B is lying.
5
A: B is human.
A: B is evil.
B: A is evil.
C: A is not lying.
B: It is day.
5
C: A is not lying.
A: B is human.
A: B is evil.
B: A is evil.
B: It is day.
1
A: A is not lying.
1
A: A is lying.
2
E: E is evil.
E: E is divine.
7
A: It is night.
B: It is day.
C: I am human.
E: C is human.
C: E is divine.
A: B is lying.
B: C is evil.
0
*********************************************************************************
Conversation #1
A is human.
B is divine.
C is evil.
It is night.
Conversation #2
A is evil.
B is human.
It is day.
Conversation #3
It is day.
Conversation #4
This is impossible.
Conversation #5
No facts are deducible.
Conversation #6
A is evil.
B is divine.
C is evil.
It is day.
Conversation #7
A is evil.
B is divine.
C is evil.
It is day.
Conversation #8
No facts are deducible.
Conversation #9
This is impossible.
Conversation #10
E is human.
It is night.
Conversation #11
A is evil.
C is evil.
E is evil.
It is day.
********************************************************************************
#include<iostream> #include<string.h> using namespace std; #define N 55 #define M 10 int people[M]; int brith[M]; int n; int ok; int FP; int now[M]; int yes[M]; struct say{ char talk; char name; int bo; int sex; }; void thesome() { for(int i = 0; i < 6; i++) if(now[i] != people[i]) yes[i] = 1; } int ture_say(say f) { if(f.sex != -1) { if(f.name == 'T') { if(f.bo && f.sex - 4 == people[0]) return 1; else if(!f.bo && f.sex - 4 != people[0]) return 1; else return 0; } else { int id = f.name - 'A' + 1; if(f.bo && f.sex == people[id]) return 1; else if(!f.bo && f.sex != people[id]) return 1; else return 0; } } else { int id = f.name - 'A' + 1; if(people[id] == 3 && !f.bo) return 1; else if (people[id] == 1 && f.bo) return 1; else if(people[id] == 2) { if(people[0] && !f.bo) return 1; else if(!people[0] && f.bo) return 1; else return 0; } else return 0; } } int write(char str[]) { if(strncmp(str, "divine.", 7) == 0) return 3; else if(strncmp(str, "human.", 6) == 0) return 2; else if(strncmp(str, "evil.", 5) == 0) return 1; else if(strncmp(str, "day.", 4) == 0) return 5; else if( strncmp(str, "night.", 6) == 0) return 4; else if( strncmp(str, "lying.", 6) ==0) return -1; } void read(say tem[]) { char str[M]; int id; for(int i = 0; i < n; i++) { cin >> str; tem[i].talk = str[0]; id = str[0] - 'A' + 1; brith[id] = 1; cin >> str; if(strcmp(str, "It") == 0) tem[i].name = 'T'; else if(str[0] == 'I') tem[i].name = tem[i].talk; else { tem[i].name = str[0]; id = str[0] - 'A' + 1; brith[id] = 1; } cin >> str; cin >> str; if(strcmp(str, "not")) { tem[i].bo = 1; tem[i].sex = write(str); } else { tem[i].bo = 0; cin >> str; tem[i].sex = write(str); } // if(tem[i].sex == -1 && tem[i].talk == tem[i].name && tem[i].bo) // FP = 1; } } int judge(say tem[]) { for(int i = 0; i < n; i++) { int id = tem[i].talk - 'A' + 1; if(people[id] == 3) { if(ture_say(tem[i])) continue; else return 0; } else if(people[id] == 2) { int f = ture_say(tem[i]); if( (people[0] && f) || (!people[0] && !f) ) continue; else return 0; } else if(people[id] == 1) { if(!ture_say(tem[i])) continue; else return 0; } } return 1; } void build(int k, say tem[]) { if(k < 6) { if(brith[k]) { for(people[k] = 1; people[k] < 4; people[k]++) build(k + 1, tem); } else build(k + 1, tem); } else if(judge(tem)) { // cout << k << endl; if(ok >= 1) thesome(); else for(int i = 0; i < 6; i++) now[i] = people[i]; ok++; } } int main() { int t = 1; while(cin >> n, n) { // Init. memset(people, 0, sizeof(people)); memset(brith, 0, sizeof(brith)); ok = 0; say tem[N]; // FP = 0; memset(yes, 0,sizeof(yes)); // ReadZZg. read(tem); cout << "Conversation #" << t++ << endl; // if(FP) // cout << "This is impossible." << endl; // else // { for(people[0] = 0; people[0] < 2; people[0]++) build(1, tem); if(ok == 0) cout << "This is impossible." << endl; else { //* int oi = 0; for(int i = 1; i < 6; i++) { if(!yes[i] && now[i]) { oi++; char c = 'A' + i - 1; if(now[i] == 3) cout << c << " is divine." << endl; else if(now[i] == 2) cout << c << " is human." << endl; else if(now[i] == 1) cout << c << " is evil." << endl; } } if(oi == 0 && yes[0]) cout << "No facts are deducible." << endl; if(now[0] && !yes[0]) cout << "It is day." << endl; else if(!yes[0]) cout << "It is night." << endl; // } } cout << endl; } return 0;}