For a bit of strategies one can utilise to solve the problem, see a thinking article.

Problem Solving
A nature and severity of individual condition resolution has been exposed by psychologists above a retiring centred years. Beginning by owning a early experimental function of the Gestaltists in Germany (e.g. Duncker, 1935), & continuing through the Sixties & early Seventies, locate in condition resolution generally conducted comparatively elementary, laboratory tasks (e.g. Duncker's "X-ray" condition; Ewert & Lambert's 1932 "disk" problem, later known as Tower of Hanoi) that appeared novel to participants (e.g. Mayer, 1992). Various reasons account for the guide of elementary novel tasks: it experienced clearly defined optimum solutions, it were resolvable in the comparatively short instance frame, investigator can trace participants' conditiin-solving steps, and then on. A investigator mass produced a underlying assumption, naturally, that elementary tasks like a Tower of Hanoi captured a independent properties of "real world" problems, & that a cognitive processes underlying participants' tries to solve elementary problems were representative of the processes engaged inside once solving "real world" problems. So investigator utilized elementary problems for reasons of convenience, & thought generalizations to extra complex problems would get imaginable. Perchance a right-known & virtually all telling case of this line of search remains a act by Newell & Simon (1972).

History
All the same, beginning in the Seventies, investigator became further & more confident that empirical findings and theoretical conception from either elementary laboratory tasks did non necessarily generalize to more complex, real-life problems. Potentially worse, it appeared that a processes underlying originative condition resolution within different domains differed from either every more (Sternberg, 1995). These realizations keep close at h& led to like different reactions around Northerly United states of america and around Europe.

USA
Around Northward America, initiated per operate of Herbert Simon on learning by doing in semantically rich domains (e.g. Anzai & Simon, 1979; Bhaskar & Simon, 1977), researchers began to investigate problem solving separately in different natural knowledge domains - such as physics, writing, or chess playing - thus relinquishing their attempts to extract a global theory of problem solving (e.g. Sternberg & Frensch, 1991). Instead, these research worker own ofttimes focused on the development of condition resolution inside the certain domain, that is on the development of expertise (e.g. Anderson, Boyle & Reiser, 1985; Chase & Simon, 1973; Chi, Feltovich & Glaser, 1981). Europe
Inside Europe, 2 independent approaches keep close at hand surfaced, a single initiated by Donald Broadbent (1977; see Berry & Broadbent, 1995) in the United Kingdom and the other one by Dietrich Dörner (1975, 1985; see Dörner & Wearing, 1995) in Germany. Them approaches keep close at hand around commons an emphasis in comparatively complex, semantically rich, computerised laboratory tasks, constructed to resemble real-life problems. A approaches differ somewhat in their theoretical goals & methodology, nevertheless. A tradition initiated by Broadbent emphasizes a distinction between cognitive condition-solving processes that work under awareness versus outside of awareness, & usually employs mathematically easily-chiseled computerised systems. A tradition initiated by Dörner, then again, has an interest in the interplay of the cognitive, motivational, & social components of condition resolution, & uses super complex computerised scenarios that contain as much as 2,000 extremely interconnected variables (e.g., Dörner, Kreuzig, Reither & Stäudel's 1983 LOHHAUSEN project; Ringelband, Misiak & Kluwe, 1990). Buchner (1995) describes them traditions inside detail.

To total higher, research worker' realization that condition-solving processes differ through knowledge domains & through levels of expertness (e.g. Sternberg, 1995) & that, consequently, findings found in a laboratory can't necessarily generalize to conditiin-resolution situations outside a laboratory, has when you took the preceding deuce decades led to an emphasis on real-globe condition solving. This emphasis has been expressed quite other than around Northerly America & Europe, but.