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Frequently Asked Questions (FAQS);faqs.472 ==> logic/locks.and.boxes.p <== You want to send a valuable object to a friend. You have a box which is more than large enough to contain the object. You have several locks with keys. The box has a locking ring which is more than large enough to have a lock attached. But your friend does not have the key to any lock that you have. How do you do it? ==> logic/locks.and.boxes.s <== Attach a lock to the ring. Send it to her. She attaches her own lock and sends it back. You remove your lock and send it back to her. She removes her lock. ==> logic/mixing.p <== Start with a half cup of tea and a half cup of coffee. Take one tablespoon of the tea and mix it in with the coffee. Take one tablespoon of this mixture and mix it back in with the tea. Which of the two cups contains more of its original contents? ==> logic/mixing.s <== Mixing Liquids The two cups end up with the same volume of liquid they started with. The same amount of tea was moved to the coffee cup as coffee to the teacup. Therefore each cup contains the same amount of its original contents. ==> logic/number.p <== Mr. S. and Mr. P. are both perfect logicians, being able to correctly deduce any truth from any set of axioms. Two integers (not necessarily unique) are somehow chosen such that each is within some specified range. Mr. S. is given the sum of these two integers; Mr. P. is given the product of these two integers. After receiving these numbers, the two logicians do not have any communication at all except the following dialogue: <<1>> Mr. P.: I do not know the two numbers. <<2>> Mr. S.: I knew that you didn't know the two numbers. <<3>> Mr. P.: Now I know the two numbers. <<4>> Mr. S.: Now I know the two numbers. Given that the above statements are absolutely truthful, what are the two numbers? ==> logic/number.s <== The answer depends upon the ranges from which the numbers are chosen. The unique solution for the ranges [2,62] through [2,500+] is: SUM PRODUCT X Y 17 52 4 13 The unique solution for the ranges [3,94] through [3,500+] is: SUM PRODUCT X Y 29 208 13 16 There are no unique solutions for the ranges starting with 1, and there are no solutions for ranges starting with numbers above 3. A program to compute the possible pairs is included below. #include <stdio.h> /* BEGINNING OF PROBLEM STATEMENT: Mr. S. and Mr. P. are both perfect logicians, being able to correctly deduce any truth from any set of axioms. Two integers (not necessarily unique) are somehow chosen such that each is within some specified range. Mr. S. is given the sum of these two integers; Mr. P. is given the product of these two integers. After receiving these numbers, the two logicians do not have any communication at all except the following dialogue: <<1>> Mr. P.: I do not know the two numbers. <<2>> Mr. S.: I knew that you didn't know the two numbers. <<3>> Mr. P.: Now I know the two numbers. <<4>> Mr. S.: Now I know the two numbers. Given that the above statements are absolutely truthful, what are the two numbers? END OF PROBLEM STATEMENT */ #define SMALLEST_MIN 1 #define LARGEST_MIN 10 #define SMALLEST_MAX 50 #define LARGEST_MAX 500 long P[(LARGEST_MAX + 1) * (LARGEST_MAX + 1)]; /* products */ long S[(LARGEST_MAX + 1) + (LARGEST_MAX + 1)]; /* sums */ find(long min, long max) { long i, j; /* * count factorizations in P[] * all P[n] > 1 satisfy <<1>>. */ for(i = 0; i <= max * max; ++i) P[i] = 0; for(i = min; i <= max; ++i) for(j = i; j <= max; ++j) ++P[i * j]; /* * decompose possible SUMs and check factorizations * all S[n] == min - 1 satisfy <<2>>. */ for(i = min + min; i <= max + max; ++i) { for(j = i / 2; j >= min; --j) if(P[j * (i - j)] < 2) break; S[i] = j; } /* * decompose SUMs which satisfy <<2>> and see which products * they produce. All (P[n] / 1000 == 1) satisfy <<3>>. */ for(i = min + min; i <= max + max; ++i) if(S[i] == min - 1) for(j = i / 2; j >= min; --j) if(P[j * (i - j)] > 1) P[j * (i - j)] += 1000; /* * decompose SUMs which satisfy <<2>> again and see which products * satisfy <<3>>. Any (S[n] == 999 + min) satisfies <<4>> */ for(i = min + min; i <= max + max; ++i) if(S[i] == min - 1) for(j = i / 2; j >= min; --j) if(P[j * (i - j)] / 1000 == 1) S[i] += 1000; /* * find the answer(s) and print them */ printf("[%d,%d]\n",min,max); for(i = min + min; i <= max + max; ++i) if(S[i] == 999 + min) for(j = i / 2; j >= min; --j) if(P[j * (i - j)] / 1000 == 1) printf("{ %d %d }: S = %d, P = %d\n", i - j, j, i, (i - j) * j); } main() { long min, max; for (min = SMALLEST_MIN; min <= LARGEST_MIN; min ++) for (max = SMALLEST_MAX; max <= LARGEST_MAX; max++) find(min,max); } ------------------------------------------------------------------------- = Jeff Kenton (617) 894-4508 = = jkenton@world.std.com = ------------------------------------------------------------------------- ==> logic/riddle.p <== Who makes it, has no need of it. Who buys it, has no use for it. Who uses it can neither see nor feel it. Tell me what a dozen rubber trees with thirty boughs on each might be? As I went over London Bridge I met my sister Jenny I broke her neck and drank her blood And left her standing empty It is said among my people that some things are improved by death. Tell me, what stinks while living, but in death, smells good? All right. Riddle me this: what goes through the door without pinching itself? What sits on the stove without burning itself? What sits on the table and is not ashamed? What work is it that the faster you work, the longer it is before you're done, and the slower you work, the sooner you're finished? Whilst I was engaged in sitting I spied the dead carrying the living. I know a word of letters three. Add two, and fewer there will be. I give you a group of three. One is sitting down, and will never get up. The second eats as much as is given to him, yet is always hungry. The third goes away and never returns. Whoever makes it, tells it not. Whoever takes it, knows it not. And whoever knows it wants it not. Two words, my answer is only two words. To keep me, you must give me. Sir, I bear a rhyme excelling In mystic force and magic spelling Celestial sprites elucidate All my own striving can't relate There is not wind enough to twirl That one red leaf, nearest of its clan, Which dances as often as dance it can. Half-way up the hill, I see thee at last Lying beneath me with thy sounds and sights -- A city in the twilight, dim and vast, With smoking roofs, soft bells, and gleaming lights. I am, in truth, a yellow fork From tables in the sky By inadvertent fingers dropped The awful cutlery. Of mansions never quite disclosed And never quite concealed The apparatus of the dark To ignorance revealed. Many-maned scud-thumper, Maker of worn wood, Shrub-ruster, Sky-mocker, Rave! Make me thy lyre, even as the forests are. What if my leaves fell like its own -- The tumult of thy mighty harmonies Will take from both a deep autumnal tone. This darksome burn, horseback brown, His rollock highroad roaring down, In coop and in comb the fleece of his foam Flutes and low to the body falls home. I've measured it from side to side, 'Tis three feet long and two feet wide. It is of compass small, and bare To thirsty suns and parching air. My love, when I gaze on thy beautiful face, Careering along, yet always in place -- The thought has often come into my mind If I ever shall see thy glorious behind. Then all thy feculent majesty recalls The nauseous mustiness of forsaken bowers, The leprous nudity of deserted halls -- The positive nastiness of sullied flowers. And I mark the colours, yellow and black, That fresco thy lithe, dictatorial thighs. When young, I am sweet in the sun. When middle-aged, I make you gay. When old, I am valued more than ever. I am always hungry, I must always be fed, The finger I lick Will soon turn red. All about, but cannot be seen, Can be captured, cannot be held, No throat, but can be heard. I am only useful When I am full, Yet I am always Full of holes. If you break me I do not stop working, If you touch me I may be snared, If you lose me Nothing will matter. If a man carried my burden He would break his back. I am not rich, But leave silver in my track. Until I am measured I am not known, Yet how you miss me When I have flown. I drive men mad For love of me, Easily beaten, Never free. When set loose I fly away, Never so cursed As when I go astray. I go around in circles But always straight ahead, Never complain No matter where I am led. Lighter than what I am made of, More of me is hidden Than is seen. I turn around once, What is out will not get in. I turn around again, What is in will not get out. Each morning I appear To lie at your feet, All day I will follow No matter how fast you run, Yet I nearly perish In the midday sun. Weight in my belly, Trees on my back, Nails in my ribs, Feet I do lack. Bright as diamonds, Loud as thunder, Never still, A thing of wonder. My life can be measured in hours, I serve by being devoured. Thin, I am quick Fat, I am slow Wind is my foe. To unravel me You need a simple key, No key that was made By locksmith's hand, But a key that only I Will understand. I am seen in the water If seen in the sky, I am in the rainbow, A jay's feather, And lapis lazuli. Glittering points That downward thrust, Sparkling spears That never rust. You heard me before, Yet you hear me again, Then I die, 'Till you call me again. Three lives have I. Gentle enough to soothe the skin, Light enough to caress the sky, Hard enough to crack rocks. You can see nothing else When you look in my face, I will look you in the eye And I will never lie. Lovely and round, I shine with pale light, grown in the darkness, A lady's delight. At the sound of me, men may dream Or stamp their feet At the sound of me, women may laugh Or sometimes weep When I am filled I can point the way, When I am empty Nothing moves me, I have two skins One without and one within. My tines be long, My tines be short My tines end ere My first report. What am I? ==> logic/riddle.s <== Who makes it, has no need of it. Who buys it, has no use for it. Who uses it can neither see nor feel it. coffin Tell me what a dozen rubber trees with thirty boughs on each might be? months of the year As I went over London Bridge I met my sister Jenny I broke her neck and drank her blood And left her standing empty gin It is said among my people that some things are improved by death. Tell me, what stinks while living, but in death, smells good? pig All right. Riddle me this: what goes through the door without pinching itself? What sits on the stove without burning itself? What sits on the table and is not ashamed? the sun What work is it that the faster you work, the longer it is before you're done, and the slower you work, the sooner you're finished? roasting meat on a spit Whilst I was engaged in sitting I spied the dead carrying the living. a ship I know a word of letters three. Add two, and fewer there will be. 'few' I give you a group of three. One is sitting down, and will never get up. The second eats as much as is given to him, yet is always hungry. The third goes away and never returns. stove, fire, and smoke Whoever makes it, tells it not. Whoever takes it, knows it not. And whoever knows it wants it not. counterfeit money Two words, my answer is only two words. To keep me, you must give me. your word Sir, I bear a rhyme excelling In mystic force and magic spelling Celestial sprites elucidate All my own striving can't relate ??? There is not wind enough to twirl That one red leaf, nearest of its clan, Which dances as often as dance it can. the sun, Samuel Taylor Coleridge Half-way up the hill, I see thee at last Lying beneath me with thy sounds and sights -- A city in the twilight, dim and vast, With smoking roofs, soft bells, and gleaming lights. the past, Longfellow I am, in truth, a yellow fork From tables in the sky By inadvertent fingers dropped The awful cutlery. Of mansions never quite disclosed And never quite concealed The apparatus of the dark To ignorance revealed. lightning, Emily Dickinson Many-maned scud-thumper, Maker of worn wood, Shrub-ruster, Sky-mocker, Rave! Portly pusher, Wind-slave. the ocean, John Updike Make me thy lyre, even as the forests are. What if my leaves fell like its own -- The tumult of thy mighty harmonies Will take from both a deep autumnal tone. the west wind, Percy Bysshe Shelley This darksome burn, horseback brown, His rollock highroad roaring down, In coop and in comb the fleece of his foam Flutes and low to the body falls home. river, Gerard Manley Hopkins I've measured it from side to side, 'Tis three feet long and two feet wide. It is of compass small, and bare To thirsty suns and parching air. the grave of a child, Wordsworth My love, when I gaze on thy beautiful face, Careering along, yet always in place -- The thought has often come into my mind If I ever shall see thy glorious behind. the moon, Sir Edmund Gosse Then all thy feculent majesty recalls The nauseous mustiness of forsaken bowers, The leprous nudity of deserted halls -- The positive nastiness of sullied flowers. And I mark the colours, yellow and black, That fresco thy lithe, dictatorial thighs. spider, Francis Saltus Saltus When young, I am sweet in the sun. When middle-aged, I make you gay. When old, I am valued more than ever. wine I am always hungry, I must always be fed, The finger I lick Will soon turn red. fire All about, but cannot be seen, Can be captured, cannot be held, No throat, but can be heard. wind I am only useful When I am full, Yet I am always Full of holes. sieve (or sponge) If you break me I do not stop working, If you touch me I may be snared, If you lose me Nothing will matter. heart If a man carried my burden He would break his back. I am not rich, But leave silver in my track. snail Until I am measured I am not known, Yet how you miss me When I have flown. time I drive men mad For love of me, Easily beaten, Never free. gold When set loose I fly away, Never so cursed As when I go astray. ? I go around in circles But always straight ahead, Never complain No matter where I am led. wagon wheel Lighter than what I am made of, More of me is hidden Than is seen. iceberg I turn around once, What is out will not get in. I turn around again, What is in will not get out. stopcock Each morning I appear To lie at your feet, All day I will follow No matter how fast you run, Yet I nearly perish In the midday sun. shadow Weight in my belly, Trees on my back, Nails in my ribs, Feet I do lack. ship Bright as diamonds, Loud as thunder, Never still, A thing of wonder. waterfall? (fireworks?) My life can be measured in hours, I serve by being devoured. Thin, I am quick Fat, I am slow Wind is my foe. candle To unravel me You need a simple key, No key that was made By locksmith's hand, But a key that only I Will understand. cipher I am seen in the water If seen in the sky, I am in the rainbow, A jay's feather, And lapis lazuli. blue Glittering points That downward thrust, Sparkling spears That never rust. icicle You heard me before, Yet you hear me again, Then I die, 'Till you call me again. echo Three lives have I. Gentle enough to soothe the skin, Light enough to caress the sky, Hard enough to crack rocks. water You can see nothing else When you look in my face, I will look you in the eye And I will never lie. your reflection Lovely and round, I shine with pale light, grown in the darkness, A lady's delight. pearl At the sound of me, men may dream Or stamp their feet At the sound of me, women may laugh Or sometimes weep music When I am filled I can point the way, When I am empty Nothing moves me, I have two skins One without and one within. sails? My tines be long, My tines be short My tines end ere My first report. What am I? lightning ==> logic/river.crossing.p <== Three humans, one big monkey and two small monkeys are to cross a river: a) Only humans and the big monkey can row the boat. b) At all times, the number of human on either side of the river must be GREATER OR EQUAL to the number of monkeys on THAT side. ( Or else the humans will be eaten by the monkeys!) ==> logic/river.crossing.s <== The three columns represent the left bank, the boat, and the right bank respectively. The < or > indicates the direction of motion of the boat. HHHMmm . . HHHm Mm> . HHHm <M m HHH Mm> m HHH <M mm HM HH> mm HM <Hm Hm Hm HM> Hm Hm <Hm HM mm HH> HM mm <M HHH m Mm> HHH m <M HHHm . Mm> HHHm . . HHHMmm ==> logic/ropes.p <== Two fifty foot ropes are suspended from a forty foot ceiling, about twenty feet apart. Armed with only a knife, how much of the rope can you steal? ==> logic/ropes.s <== Almost all of it. Tie the ropes together. Climb up one of them. Tie a loop in it as close as possible to the ceiling. Cut it below the loop. Run the rope through the loop and tie it to your waist. Climb the other rope (this may involve some swinging action). Pull the rope going through the loop tight and cut the other rope as close as possible to the ceiling. You will swing down on the rope through the loop. Lower yourself to the ground by letting out rope. Pull the rope through the loop. You will have nearly all the rope. Xref: bloom-picayune.mit.edu rec.puzzles:18147 news.answers:3078 Newsgroups: rec.puzzles,news.answers Path: bloom-picayune.mit.edu!enterpoop.mit.edu!snorkelwacker.mit.edu!usc!wupost!gumby!destroyer!uunet!questrel!chris From: uunet!questrel!chris (Chris Cole) Subject: rec.puzzles FAQ, part 12 of 15 Message-ID: <puzzles-faq-12_717034101@questrel.com> Followup-To: rec.puzzles Summary: This posting contains a list of Frequently Asked Questions (and their answers). It should be read by anyone who wishes to post to the rec.puzzles newsgroup. Sender: chris@questrel.com (Chris Cole) Reply-To: uunet!questrel!faql-comment Organization: Questrel, Inc. References: <puzzles-faq-1_717034101@questrel.com> Date: Mon, 21 Sep 1992 00:09:42 GMT Approved: news-answers-request@MIT.Edu Expires: Sat, 3 Apr 1993 00:08:21 GMT Lines: 1136 Archive-name: puzzles-faq/part12 Last-modified: 1992/09/20 Version: 3 ==> logic/same.street.p <== Sally and Sue have a strong desire to date Sam. They all live on the same street yet neither Sally or Sue know where Sam lives. The houses on this street are numbered 1 to 99. Sally asks Sam "Is your house number a perfect square?". He answers. Then Sally asks "Is is greater than 50?". He answers again. Sally thinks she now knows the address of Sam's house and decides to visit. When she gets there, she finds out she is wrong. This is not surprising, considering Sam answered only the second question truthfully. Sue, unaware of Sally's conversation, asks Sam two questions. Sue asks "Is your house number a perfect cube?". He answers. She then asks "Is it greater than 25?". He answers again. Sue thinks she knows where Sam lives and decides to pay him a visit. She too is mistaken as Sam once again answered only the second question truthfully. If I tell you that Sam's number is less than Sue's or Sally's, and that the sum of their numbers is a perfect square multiplied by two, you should be able to figure out where all three of them live. ==> logic/same.street.s <== Sally and Sue have a strong desire to date Sam. They all live on the same street yet neither Sally or Sue know where Sam lives. The houses on this street are numbered 1 to 99. Sally asks Sam "Is your house number a perfect square?". He answers. Then Sally asks "Is is greater than 50?". He answers again. Sally thinks she now knows the address of Sam's house and decides to visit. Since Sally thinks that she has enough information, I deduce that Sam answered that his house number was a perfect square greater than 50. There are two of these {64,81} and Sally must live in one of them in order to have decided she knew where Sam lives. When she gets there, she finds out she is wrong. This is not surprising, considering Sam answered only the second question truthfully. So Sam's house number is greater than 50, but not a perfect square. Sue, unaware of Sally's conversation, asks Sam two questions. Sue asks "Is your house number a perfect cube?". He answers. She then asks "Is it greater than 25?". He answers again. Observation: perfect cubes greater than 25 are {27, 64}, less than 25 are {1,8}. Sue thinks she knows where Sam lives and decides to pay him a visit. She too is mistaken as Sam once again answered only the second question truthfully. Since Sam's house number is greater than 50, he told Sue that it was greater than 25 as well. Since Sue thought she knew which house was his, she must live in either of {27,64}. If I tell you that Sam's number is less than Sue's or Sally's, Since Sam's number is greater than 50, and Sue's is even bigger, she must live in 64. Assuming Sue and Sally are not roommates (although awkward social situations of this kind are not without precedent), Sally lives in 81. and that the sum of their numbers is a perfect square multiplied by two, you should be able to figure out where all three of them live. Sue + Sally + Sam = 2 p^2 for p an integer 64 + 81 + Sam = 2 p^2 Applying the constraint 50 < Sam < 64, looks like Sam = 55 (p = 10). In summary, Sam = 55 Sue = 64 Sally = 81 -- Tom Smith <tom@ulysses.att.com> ==> logic/self.ref.p <== Find a number ABCDEFGHIJ such that A is the count of how many 0's are in the number, B is the number of 1's, and so on. ==> logic/self.ref.s <== 6210001000 For other numbers of digits: n=1: no sequence possible n=2: no sequence possible n=3: no sequence possible n=4: 1210, 2020 n=5: 21200 n=6: no sequence possible n=7: 3211000 n=8: 42101000 n=9: 521001000 n=10: 6210001000 n>10: (n-4), 2, 1, 0 * (n-7), 1, 0, 0, 0 No 1, 2, or 3 digit numbers are possible. Letting x_i be the ith digit, starting with 0, we see that (1) x_0 + ... + x_n = n+1 and (2) 0*x_0 + ... + n*x_n = n+1, where n+1 is the number of digits. I'll first prove that x_0 > n-3 if n>4. Assume not, then this implies that at least four of the x_i with i>0 are non-zero. But then we would have \sum_i i*x_i >= 10 by (2), impossible unless n=9, but it isn't possible in this case (51111100000 isn't valid). Now I'll prove that x_0 < n-1. x_0 clearly can't equal n; assume x_0 = n-1 ==> x_{n-1} = 1 by (2) if n>3. Now only one of the remaining x_i may be non-zero, and we must have that x_0 + ... + x_n = n+1, but since x_0 + x_{n-1} = n ==> the remaining x_i = 1 ==> by (2) that x_2 = 1. But this can't be, since x_{n-1} = 1 ==> x_1>0. Now assuming x_0 = n-2 we conclude that x_{n-2} = 1 by (2) if n>5 ==> x_1 + ... + x_{n-3} + x_{n-1} + x_n = 2 and 1*x_1 + ... + (n-3)*x_{n-3} + (n-1)*x_{n-1} + n*x_n = 3 ==> x_1=1 and x_2=1, contradiction. Case n>5: We have that x_0 = n-3 and if n>=7 ==> x_{n-3}=1 ==> x_1=2 and x_2=1 by (1) and (2). For the case n=6 we see that x_{n-3}=2 leads to an easy contradiction, and we get the same result. The cases n=4,5 are easy enough to handle, and lead to the two solutions above. -- -- clong@romulus.rutgers.edu (Chris Long) ==> logic/situation.puzzles.outtakes.p <== The following puzzles have been removed from my situation puzzles list, or never made it onto the list in the first place. There are a wide variety of reasons for the non-inclusion: some I think are obvious, some don't have enough of a story, some involve gimmicks that annoy me, some I think are riddles rather than situation puzzles, and some are so contrary to reality as to be unplayable. Basically, what it comes down to is that I don't like these enough to put them on my list. If you think of ways to make any of them more palatable to me, or to reorganize my entire list, or if you just want to chat, by all means contact me at zorn@apple.com. --jed e. hartman, 5/5/92 ----------------------------------------- Contra-reality puzzles, or, "That's not the way it works!" 2.10. A man is sitting in a train compartment. He sees a three- fingered hand through the compartment window, in the hallway of the train. He opens the compartment door and shoots the person with the three-fingered hand, but he goes free. (Michael Bernstein) 2.61. A man ran into a fire, and lived. A man stayed where there was no fire, and died. (Eric Wang original) 2.50. The pope is giving a speech. A man in the audience shoots the mayor who is behind the pope. (PRO) Date: 2 Feb 92 23:05:11 GMT In article <64023@netnews.upenn.edu>, weemba@libra (Matthew P Wiener) writes: >Here's [one] I made up years ago: "She stopped having sex. She died." 1.37. A holy man is dead in a room. (Perry Deess original) ----------------------------------------- Clocks, calendars, money, and other numerical trivia: 2.15. Two people are talking long distance on the phone; one is in an East-Coast state, the other is in a West-Coast state. The first asks the other "What time is it?", hears the answer, and says, "That's funny. It's the same time here!" (EMS) 2.19. A woman goes into a convenience store to buy a can of Coke. She pays for it with a $20 bill and receives $22 in change. (MI; partial MB wording) 2.20. A newspaper reported that Jacques Dubois finished first in the walking race held in Paris. The number of miles he walked was given as 62,137. The article was not in error. (AR, quoting Richard Fowell; MB wording) Organization: Penn State University Date: Tuesday, 4 Dec 1990 20:08:00 EST From: SCOTT MATTHEWS <SDM119@psuvm.psu.edu> A man goes to a hardware store to buy a certain item. He asks the salesman how much this item costs to which he answers, "They are 3 for $1.00." The man say, "Okay I'll take 100," to which the salesman correctly replies, "That will be $1.00." The man pays $1.00 and leaves satisfied. What is the item. >"A man, his son, and his grandson had their first birthday together." (Matthew P Wiener original) ----------------------------------------- Just too weird and/or random and/or silly for me: 2.17. A woman walks up to a door and knocks. Another woman answers the door. The woman outside kills the woman inside. (GH) 2.59. A man is lying dead in a pool of blood and glass. (PRO) 2.60. The seals came up to do their show but immediately dove back into the water. (PRO) 2.58. A raft carrying passengers took a trip down a river. None of the passengers made it home alive. (CR; partial JM wording) ----------------------------------------- Confusing the map with the territory, or, call by reference: 2.22. In his own home a man watches as a woman dies, yet does nothing to save her. (MN) 2.39. King Henry VIII is lying at the bottom of the stairs with a gash across his face. (PRO) 2.40. A man travels to twenty countries and stays in each country for a month. During this time he never sees the light of day. (PRO) ----------------------------------------- How to prove your audience are sexists: 2.48. A boy and his father are injured in a car accident. Both are taken to a hospital. The father dies at arrival, but the boy lives and is taken to surgery. A grey-haired, bespectacled surgeon looks at the boy and says, "I cannot operate on this boy -- he's my son." (JV) 2.49. A husband coming home hears his wife call "Bill, don't kill me!". He walks in and finds his wife dead. Inside are a postman, a doctor, and a lawyer, none of whom the husband knows. The husband immediately realizes the postman killed his wife. (EMS; partial JM wording) -----------------------------------------